Design of Coupling Coding in MPEG-4 HE-AAC

Size: px
Start display at page:

Download "Design of Coupling Coding in MPEG-4 HE-AAC"

Transcription

1 Design of Coupling Coding in MPG-4 H-AAC

2 Design of Coupling Coding in MPG-4 H-AAC Student Chi-Ming Chng Advisor Dr. Chi-Min Liu Dr. Wen-Chieh Lee A Thesis Submitted to Institute of Computer Science nd ngineering College of Computer Science Ntionl Chio Tung University in prtil Fulfillment of the Requirements for the Degree of Mster in Computer Science June 006 Hsinchu, Tiwn, Republic of Chin

3 SBR ITU PAQ i

4 Design of Coupling Coding in MPG-4 H-AAC Computer Science Ntionl Chio Tung University The coupling coding in SBR is dpted to trnsform the dt domin to de-correltion nd sve more bits. However, becuse of the inherent constrint of the coupling coding, some side informtion need to be shred by the stereo chnnels. There re two considerble issues relted to qulity due to the shring, including the determining of the shred T/F grid nd the shred chirp fctor. On the other hnd, the quntiztion process cuses of the ris of qulity degrdtion lso need to be inspected. This thesis considers the possible rtifcts to exmine the decision of the shred prmeter, nd proposes coupling decision method for the trdeoff between high bnd qulity nd demnd bits. Both subjective nd objective tests re conducted to chec the qulity improvement. The objective test mesures used is the recommendtion system by ITU-R Ts Group 10/4. ii

5 iii

6 Contents Contents...iv Figure List...v Tble List...vii Chpter 1 Introduction...1 Chpter Bcgrounds MPG-4 High fficiency AAC...5. Relted Modules in SBR to Coupling Coding Time/Frequency Grid in H-AAC Chirp Fctor of Inverse Filtering Noise Floor Scle Fctor Q...9 Chpter 3 Design of Coupling Coding in SBR Overview of Coupling Coding Schemes in H-AAC Decision of Shred T/F Grid Design of T/F Grid by Dynmic Progrmming in Non-coupling Mode Design of T/F Grid by Dynmic Progrmming in Coupling Mode Decision of Shred Inverse Filtering Intensity Decision of Inverse Filtering Intensity in Non-coupling Mode Decision of Inverse Filtering Intensity in Coupling Mode Decision of Noise Floor Sclefctor Coupling Switch Method Quntiztion error nlysis nergy Abnorml Phenomenon Summry...31 Chpter 4 xperiments xperiment nvironment Objective Qulity Mesurement in MPG Test Trcs Objective Qulity Mesurement in Music Dtbse Subjective Qulity Mesurement...41 Chpter 5 Conclusion...43 References...44 iv

7 Figure List Figure 1: Digrm of the H-AAC nd H-AAC v. [9]...1 Figure : Qulity comprison t different bit-rte mong AAC, H-AAC, nd H-AAC v. [6]... Figure 3: Birdies effect occurring in LF of H-AAC due to the insufficient bits...3 Figure 4: nhnced Birdies effect by ting dvntge of coupling coding 3 Figure 5: Bsic rchitecture of H-AAC encoder...3 Figure 6: An exmple of reconstruction process of SBR...5 Figure 7: Bloc digrm of H-AAC encoder...6 Figure 8: An exmple of the frequency tble nd time segment...8 Figure 9: An exmple of VAR frme border to shift few smple points...8 Figure 10: HF djustment process of noise-demnd high resolution grid with three subbnds b 0, b1, b...10 Figure 11: HF djustment process of noise-demnd high resolution grid with three subbnds b 0, b1, b...11 Figure 1: The syntx of the SBR extension dt elements in coupling nd non-coupling modes...13 Figure 13: Digrm of shred time segment in coupling nd non-coupling modes...14 Figure 14: An exmple of the optiml prtition from i to j time unit with 3 time borders nd high resolution envelopes...16 Figure 15: Flowchrt of the DP method proposed in [9]...16 Figure 16: Decision flowchrt of inverse filtering mode...0 Figure 17: The serch rnge of quntized noise floor for different modes. Figure 18: Flowchrt of the propose serch method of the noise floor scle fctor decision...3 Figure 19: The test trc hs high energy difference in high frequency...8 Figure 0: The high reconstruction error in weer chnnel...8 Figure 1: The low reconstruction error in stronger chnnel...8 Figure : The reltionship between men of reltive error nd Ψ when Ψ is more thn one in the right chnnel...8 Figure 3: The reltionship between men of reltive error nd Ψ when Ψ is less thn one in the right chnnel...9 Figure 4: The reltionship between vrince of reltive error nd Ψ v

8 when Ψ is more thn one in the right chnnel...9 Figure 5: The reltionship between vrince of reltive error nd Ψ when Ψ is less thn one in the right chnnel...9 Figure 6: The reltionship between men of reltive error nd Ψ when Ψ is more thn one in the left chnnel...30 Figure 7: The reltionship between men of reltive error nd Ψ when Ψ is less thn one in the left chnnel...30 Figure 8: The reltionship between vrince of reltive error nd Ψ when Ψ is more thn one in the left chnnel...30 Figure 9: The reltionship between vrince of reltive error nd Ψ when Ψ is less thn one in the left chnnel...31 Figure 30: Coupling Switch Flowchrt...3 Figure 31: The vrince in the ODGs of proposed coupling pproches t 80 bps...35 Figure 3: The vrince in the ODGs of proposed coupling pproches t 64 bps...36 Figure 33: The vrince in the ODGs of proposed coupling pproches t 48 bps...37 Figure 34: The verge ODGs of method M0 nd M1 t 80bps in 16 ctegories...39 Figure 35: The verge ODGs of method M0 nd M1 t 64bps in 16 ctegories...39 Figure 36: The verge ODGs of method M0 nd M1 t 48bps in 16 ctegories...39 Figure 37: The suffered spectrum of the silence in the impulse_m0_0db trc...40 Figure 38: The spectrum of the tringle1 trc in the TonlSignls set...40 Figure 39: Reconstructed spectrogrm of the tringle1 trc in norml mode...41 Figure 40: Reconstructed spectrogrm of the tringle1 trc in coupling mode...41 Figure 41: The result of the subjective test for coupling coding t 48bps 4 vi

9 Tble List Tble 1: The prmeter newbw decided by inverse filtering mode...9 Tble : The scenrios of the ten bit-consuming stge...15 Tble 3: Comprison of the grid criterion in the norml/coupling mode...18 Tble 4: The twelve trcs recommended by MPG...34 Tble 5: Objective mesurements through the ODGs for proposed coupling pproch t 80 bps...35 Tble 6: Objective mesurements through the ODGs for proposed coupling pproch t 64 bps...36 Tble 7: Objective mesurements through the ODGs for proposed coupling pproch t 48 bps...37 Tble 8: The PSPLb udio dtbse [13]...38 vii

10 Chpter 1 Introduction MPG-4 H-AAC (High fficiency Advnced Audio Coding) is the extension of the conventionl AAC [1] by supporting the SBR (Spectrl Bnd Repliction) [][3][4][5]. The bsic principle of SBR is to reconstruct the high frequency spectrl bnds by replicting the low frequency spectrl bnds. The resulting codec is referred to s the MPG-4 H-AAC or AACplus. Besides ting the SBR s the bndwidth extension tool, the PS (prmetric stereo) [6][7][8] coding is further incorported s the chnnel reduction tool. The integrted codec is referred to MPG-4 H-AAC version. Figure 1 illustrtes the scheme of H-AAC nd H-AAC version. AAC SBR PS H-AAC V1 H-AAC V Figure 1: Digrm of the H-AAC nd H-AAC v. [9] To fit vriety of situtions of demnd, the three coding schemes re pplied to the different bit rtes. In order to mintin the udio qulity t low bit rte, H-AAC is dpted mong the 48 ~ 96 bps. Furthermore, to stisfy the requirement of very low bit rte lower thn 48 bps, H-AAC version is proposed to overcome the chllenge. Figure illustrtes the reltionship between the bit rte nd the perceptul qulity. However, the efficiency of the complete system is determined lrgely by the coopertion of the three modules. Any unsuitble design of nyone of the three modules will ffect the effect of the reminders, nd hence destroy seriously the qulity of the H-AAC version. This thesis will focus on the coupling coding in SBR. The principle of the coupling coding is to trnsform the left/right (L/R) energy signls into verge/rtio (A/R) mode to eliminte signl correltion nd te dvntge of prmeter shring to 1

11 sve bits. specilly, t very low bit rte, the bit shortge will result in mny nnoying rtifcts t the low frequency in AAC. Hence, the purpose of coupling coding is to sve the consuming bits of the high frequency to promote the low frequency qulity. Figure 3 shows n exmple of common rtifct, nown s birdies effect [10], t the low frequency prt due to lc of bits in AAC. The spectrl vlley is visible in the low frequency spectrum encoded by AAC. Figure 4 shows the rtifct is enhnced lrgely once AAC is supplied with enough bits. 100 xcellent 80 AAC Qulity Good 60 Fir 40 Poor 0 H-AAC+PS H-AAC Bndwidth fs/ fs/4 SBR AAC SBR AAC AAC PS Bd 0 1 Chnnels Stereo bit-rte [bit/sec] Figure : Qulity comprison t different bit-rte mong AAC, H-AAC, nd H-AAC v. [6] Figure 5 illustrtes the bloc digrm of H-AAC encoder. This thesis considers the coupling coding design through four design issues. The first nd second issues re decision of shred T/F grid [9] prmeter nd shred inverse filtering intensity [11][1]. Furthermore, ccording to the constrint in the coupling mode, the difference vlues of quntized vlue of the specific prmeters, nmed s noise floor scle fctors [11][1], between two chnnels should be limited. Therefore, selecting suitble quntized noise floor scle fctors for the two chnnels is the third issue. Finlly, the lst issue is coupling switch method which need to consider the trdeoff between high bnd qulity nd demnd bits, nd some possible ris of qulity degrdtion.

12 Figure 3: Birdies effect occurring in LF of H-AAC due to the insufficient bits Figure 4: nhnced Birdies effect by ting dvntge of coupling coding PCM QMF Anlysis QMF Synthesis AAC Core ncoder SBR ncoder Bitstrem Formtter bitstrem Figure 5: Bsic rchitecture of H-AAC encoder This thesis is orgnized s follow. Chpter introduces the bcgrounds on the fundmentl nowledge of MPG-4 H-AAC. In Chpter 3, the five design issues of the coupling coding in MPG-4 H-AAC will be investigted, which include coupling switch method, decision of shred T/F grid prmeter, decision of shred inverse filtering intensity, decision of the noise floor sclefctors. Chpter 4 conducts 3

13 experiment to verify performnce of the proposed coupling coding method. Chpter 5 gives conclusion on this thesis. 4

14 Chpter Bcgrounds This chpter introduces some fundmentl bcground of MPG-4 H-AAC. specilly, the three modules relted to the coupling coding in SBR re lso described..1 MPG-4 High fficiency AAC By the coopertion of both SBR nd the conventionl AAC, the H-AAC cn mintin the high udio qulity t very low bit rte. The SBR tes cre of the high frequency contents, nd reltively the AAC encoder compresses the low frequency contents. Becuse of the few bits consuming of SBR, the most of vilble bits re supplied for AAC to mintin the qulity of low frequency. Figure 6 illustrtes the reconstruction process of SBR. () Originl spectrum (b)decoded LF spectrum from AAC (c)hf regenertion by replicting LF bnds (d)reconstructed HF fter envelope djustment Figure 6: An exmple of reconstruction process of SBR The H-AAC decoder reconstructs the high frequency by replicting the low frequency decoded from AAC, nd then it will djust the tonlity of the replicted low bnd to be close to the tonlity of the originl high bnd by compring the difference between the content of the high nd low bnds. Furthermore, there re two min modules in SBR encoder. One is the time/frequency grid module, nd nother is the high frequency djustment module. In the time/frequency grid module, it splits the high bnds into severl T/F grids. ch T/F grid records the verge energy to the 5

15 H-AAC decoder. On the other hnd, the HF djustment module records the difference between the originl nd replicted contents of high frequency prt. Besides the bsic reconstruction opertion, the dt-rte reduction tool, Coupling coding, is dopted to further eliminte the signl correltion nd sve consuming bits of high frequency by domin trnsformtion of envelope dt nd prmeter shring. The sved bits by the coupling coding mechnism cn supply to AAC to promote low frequency qulity effectively, nd chieve the optiml overll qulity. Input Signl!""!"" % % & # # $ $ Coded Audio Strem Figure 7: Bloc digrm of H-AAC encoder 6

16 . Relted Modules in SBR to Coupling Coding In this section, three importnt modules relted to coupling coding will be introduced. They include the time/frequency grid, the chirp fctor used in the inverse filtering opertion, nd the tonlity controlling fctor Q. The understnding of the three issues will ffect the design of the coupling coding lrgely...1 Time/Frequency Grid in H-AAC This subsection introduces the protocol bout the time/frequency grid in H-AAC. Adptive time nd frequency resolution re incorported into SBR for the envelope coding nd djustment. The SBR replictes the low frequency signl to high frequency signl. The QMF subbnds in SBR rnge will be segmented into severl grids by divisions from the T/F dimension. The successive smples in QMF subbnds re integrted into time envelope. The successive subbnds re segmented into severl uniform or non-uniform bnds with different bndwidth by choosing one of the frequency bnd tbles. T/F grid which describes time segments nd ssocited frequency tbles is the bsic reconstructed unit in the subsequent SBR coding process. The verge energy in grid will be used to get the rescle rtio, which is over the energy of the duplicted low bnds. It implies tht the loctions of time borders nd the resolution of the envelopes determine the ccurcy of the repliction nd the udio qulity. There re three components in the time/frequency grid module s follows Frequency tble Time segment Frme clss The frequency domin resolution is determining by choosing from the different frequency tbles in the SBR. Frequency tble ffect the precision of tone ddition nd the low frequency which will be replicted for reconstruction high frequency in the decoder. There re five frequency tbles in SBR. High resolution frequency bnd tble nd low resolution frequency bnd tble re two vilble resolution tbles tht cn be selected for every envelope of SBR frme. Noise floor frequency bnd tble nd limiter frequency bnd tble correspond respectively to the noise floor nd the limiter. All frequency bnd tbles re derived from the mster frequency bnd tble. The mster frequency tbles re defined by functions nd the rguments re trnsmitted in the SBR heder. The time borders ffect the resolution in the time domin. The time 7

17 borders re more flexible thn frequency bnd tble. It contins the number of envelopes in SBR frme nd loctions of time borders. There re 3 smples in the time domin of one SBR frme. But there re only 16 loctions in the SBR frme for the time borders. Becuse of the constrint in SBR, there re 5 time borders if frme clss is VARVAR. The other frme clss only hs 4 time borders t most. There re four different SBR frme clsses, FIXFIX, FIXVAR, VARFIX, nd VARVAR in the SBR time/frequency grid. The four clsses refer to whether loctions of leding nd triling SBR frme boundries re vrible. H-AAC llows the boundry between the two frmes to shift few smple. It me time domin segment more flexible. Figure 9 is n exmple of the boundry shift few smple to mtch the signl. Low High Low Frequency tble F Time segment T Figure 8: An exmple of the frequency tble nd time segment Figure 9: An exmple of VAR frme border to shift few smple points 8

18 .. Chirp Fctor of Inverse Filtering The high bnds in SBR decoder re reconstructed from the low bnds. Hence, if the tonlity of the replicted low bnds will not mtch the fetures of the originl high bnds, the inverse filtering is pplied to eliminte the excess tone component of the replicted low bnds. The inverse filtering process is performed in the two steps. First, the liner prediction is pplied on the replicted low bnds. Then the ctul inverse filtering is performed respectively for ech of the replicted low bnds ptched to the high bnds. The resultnt high bnd generted in SBR decoder is obtined s X High { X ( p, l 1) + α X ( p, ) } (, l) = X Low ( p, l) α 0 Low 1 Low l, (1) where α is the chirp fctor tht cn control the inverse filtering level, X Low is the low bnd signl nlyzed from the output of AAC decoder, nd 0, 1 re the prediction coefficients which re used to filter the subbnd signl in the inverse filtering.the chirp fctor cn remove the loction of the poles of the inverse filter nd ffect the degree of the hrmonic ttenution in the high frequency genertor. According to the stndrd [], the clcultion of the chirp fctor is defined s where Q if tempbw( i) < , 0 i < N Q ( ) f tempbw( i) α ( i) =, () tempbw i N is number of noise floor bnds, nd ( i) tempbw is clculted s ' ( i) if newbw < α ( i), ' ' α ( i) if newbw α ( i) ' 0.75 newbw α tempbw ( i) = 0 i < N Q, (3) newbw ' where α is the α vlues clculted in the previous SBR frme, nd newbw is decided by inverse filtering mode of current frme nd previous frme ccording to Tble 1. Tble 1: The prmeter newbw decided by inverse filtering mode bs_invf_mode(i) bs_invf_mode(i) Off Low Intermedite Strong Off Low Intermedite Strong Noise Floor Scle Fctor Q The noise floor scle fctor is the prmeter which ffects the mgnitude 9

19 djustment of the ech subbnd in the high resolution grid nd the tone-noise dditive level. There re two different types of the envelope scling for the noise-demnd nd the tone-demnd grid ccording to their requirement of content. In the noise-demnd grid, the mgnitudes of the replicted bnds re djusted by gin control fctor defined s [11] G ND = o r 1 1+ Q, (4) where o nd r re the verge energy of the originl high frequency signl nd the replicted low frequency signl respectively in the th high resolution grid, nd Q is the noise floor scle fctor. After the envelope scling, the rndom noise is dded to the high frequency with level defined s C n = o Q 1+ Q. (5) Similrly, the gin control fctor in the tone-demnd grid is defined s G TD = o r Q 1+ Q. (6) Also, the energy mount for the compensted tone is defined s C t = o 1 1+ Q. (7) Figure 10 nd Figure 11 illustrte the two different djustment results for the noisend tone- demnd grids. n C n C n C compenstion r ND ( ) r ND G ( ) r ND G ( G ) scling b 0 b 1 b Noise-demnd grid Figure 10: HF djustment process of noise-demnd high resolution grid with three subbnds b 0, b1, b 10

20 t C compenstion n C n C r TD ( ) r TD G ( ) r TD G ( G ) scling b 0 b 1 b Tone-demnd grid Figure 11: HF djustment process of noise-demnd high resolution grid with three subbnds b 0, b1, b 11

21 Chpter 3 Design of Coupling Coding in SBR As the fundmentls of the coupling coding design, this chpter reviews firstly the coupling coding schemes defined in the H-AAC stndrd []. Furthermore, bsed on our relted wor [9][11] bout the designs of the T/F grid nd tonlity compenstion, the thesis extends the wors into the coupling coding method. The extension should consider the ris of prmeter shring. For exmple, the T/F grid shring will result in the corse reconstructed envelope or the more bits consuming. Also, the shring of the chirp fctor nd noise-floor fctor my destroy the tonlity ccurcy of some chnnel nd led to the qulity degrdtion. Finlly, the huge rtio of the left nd right energy chnnels will result in the dt correltion reduction nd the lrge quntiztion error. A coupling switching method considering the bnorml phenomenon is proposed to compromise the trdeoff between the qulity nd the bits reduction. 3.1 Overview of Coupling Coding Schemes in H-AAC For the energy dt of the spectrl envelop extrcted from time/frequency (T/F) grids, there re severl processes, including quntiztion opertion, the DPCM nd the Huffmn entropy coding, to be pplied to reduce the dt rte in turn. Furthermore, to reduce the dt redundncy of the stereo energy chnnels, the coupling mode is dpted to trnsform the Left/Right (L/R) energy chnnels into Averge/Rtio (A/R) mode to eliminte signl correltion. To meet the inherent requirement of the coupling, the prmeters for T/F grid nd inverse filtering need to be shred by A/R chnnels in coupling mode. Figure 1 illustrtes the syntx of the SBR extension dt elements in the two modes. It shows tht both the T/F grid nd the controlling prmeter of inverse filtering level, tht is chirp fctor, should be shred. In summry, there re five criticl points when the coupling mode is switched on. The five terms re s follows: Trnsform L/R mode into A/R mode Shre Time/Frequency grid Shre chirp fctor of inverse filtering DPCM vlues of the rtio chnnel is further quntized with step size. 1

22 The difference of quntized noise-floor sclefctors between the two chnnels is restricting to the rnge from 0 to 1 by the syntx constrint.!- ". # &,, (+* ()* (+* ()* (+* ()* ' & &,, (+*()* ' & Figure 1: The syntx of the SBR extension dt elements in coupling nd non-coupling modes 3. Decision of Shred T/F Grid Insted of using the individul set of time segments s the norml L/R mode, there cn be only common segment set in the coupling mode. Although the shring of side informtion cn sve bits, the qulity rtifct my occur due to inccurte segment. Hence, the qulity degrdtion should be considered. For the optiml time segments of the signl subbnds of the L/R chnnels in the norml mode, decision method bsed on dynmic progrmming pproch hs been proposed in our other wor [9]. In this section, the modified decision method for coupling mode is proposed to determine the optiml common segment set nd mesure the ffect for qulity. 13

23 G L = Arg Min GL G R = Arg Min GR ( O ( G ) ) L ( O ( G ) ) R G C = Arg Min GC ( O ( G ) ) C Figure 13: Digrm of shred time segment in coupling nd non-coupling modes 3..1 Design of T/F Grid by Dynmic Progrmming in Non-coupling Mode In [9], decision method of T/F grid by the dynmic progrmming (DP) in non-coupling mode hs been proposed. The bsic concept of the DP method is to serch the optiml grid in the ll possible grids in individul chnnel by n efficient recursive procedure. The resultnt grid G serched by the method will be n optiml solution to me the verge of the energy difference (reconstructed energy error) to the originl signl energy rtios (DSR) in ll qulity mesurement units, nmed criticl units, minimum. Tht is, G where DSR ( G) is defined s = Arg DSR ( G) ( Min( DSR( G) ) G ( c), (8) DSRc c G =, (9) # where c is the criticl unit, #( c) mens the number of criticl units, nd DSR c is the reconstruction error of the criticl unit c in the frme. The lengths of the criticl unit re defined s four smple points nd the criticl bnd bndwidth for time nd frequency direction respectively in [9]. The number of the time borders nd the ssocited frequency resolution determine the totl number of the girds nd lso ffects the resultnt DSR. The dynmic progrmming for DSR nlysis is shown s 14

24 DSR, u i, j = 0 i < j 8; 0 4, 0 u + 1 Min i+ 1 t j 1 0,0 1, u 0,1 1, u 1 { DSR + DSR, DSR + DSR } i,t t, j i,t t, j (10) where i, j re the border of the time slot consisting of two smples, is the number of the time borders, nd u is the number of the high resolution envelopes. The nottion u D, i j, mens the optiml DSR from i to j with time borders nd u high resolution envelope. According to [9], there re ten different bit-consuming stges defined in the dynmic progrmming method. ch stge indictes the different number of time borders nd high resolution envelopes in one SBR frme. The scenrios of the ten stges re described in Tble. Figure 14 illustrtes the optiml prtition from i to j with 3 time borders nd high resolution envelopes. Tble : The scenrios of the ten bit-consuming stge 15

25 3, D i, j freq. i j time Figure 14: An exmple of the optiml prtition from i to j time unit with 3 time borders nd high resolution envelopes Figure 15 is the flowchrt of the dynmic progrmming method for serching optiml T/F grid. The loop will consider ll pssble resolution grids. In the loop, it will hve n objective function for determining the optiml T/F grid in the sme bit-consuming stge. There is nother efficiency checing for switching different stges. The dynmic progrmming method serches the optiml grid from the lower bit-consuming stges to the higher bit-consuming stges. Becuse the different bit-consuming stges hve different requirement of bits, the grid decision in the different stges must consider the trdeoff of bits nd qulity. Begin Begin Stge > 9 Stge > 9 Yes nd nd No Find Find optiml optiml T/F T/F grid grid Increse Stge Increse Stge No Chec efficiency Chec efficiency Yes Record Record efficient efficient grid grid Figure 15: Flowchrt of the DP method proposed in [9] 16

26 3.. Design of T/F Grid by Dynmic Progrmming in Coupling Mode Becuse of the shring of the T/F grid, the two criterions used in the bove DP method must be modified to simultneously consider the content of two chnnels in the coupling mode. There is n objective function which mesures the grids in the DP serch method. In the norml mode, the objective function is defined s the DSR vlue described bove. To consider both the two DSR vlues from L/R chnnels in the coupling mode, the objective function is modified s where DSR 0 nd 1 ( DSR ) O ( G) = Mx, DSR, 0 1 (11) DSR re the DSR vlues of left nd right chnnel respectively. To ensure the qulity of worst chnnel, the conservtive choice of the resultnt grid is dopted in the criterion. The optiml grid is the minimum solution of the objective function (11). On the other hnd, the itertion criterion of the DP method in the norml mode involves the improvement of DSR in the current resolution. If the improvement of DSR is over the threshold depending on the bit rte, it will updte the higher resolution T/F grid to improve the qulity. The improvement is defined s where ' = DSR DSR, (1) ' DSR is the optiml DSR for the preceding bit-consuming stge. Similrly, in the coupling mode, there re two improvements of DSR which re defined s 0 = DSR DSR0. (13) = DSR DSR 1 The modified itertion criterion is to stisfied the two conditions s follows ' 0 ' 1 mx mx, ( 0 1 ) > Φ1 ( 0 1 ) > Φ 1 =, (14) =, (15) min min, where Φ 1 nd Φ re the threshold of itertion criterion. The modifiction of the itertion criterion cn ensure tht the improvement of both the DSR vlues of the two chnnels re over low bound, nd t lest one of the DSR improvements cn exceed the lrge degree to show the efficiency of the new stge. 17

27 Tble 3: Comprison of the grid criterion in the norml/coupling mode %## $ (%# " &%'#!! " #! " )*)%# + %#'*% 3.3 Decision of Shred Inverse Filtering Intensity In SBR, the inverse filtering is dopted to eliminte excess tones in low bnds to fit the tonlity of high bnds. The different chirp fctors, which re the prmeter to control the intensity level of the inverse filtering, re ssigned to L/R chnnels in the norml mode. Similrly, ccording to the regultion of the stndrd [], only single chirp fctor cn be used in the coupling mode. Once the difference of the tonlity contents is dominte, the possible rtifct suffering from the unsuitble inverse filtering under the constrint is ble to be nticipted. Hence, the ris of the inverse filtering with the sme intensity level for the stereo chnnels in the coupling mode should be considered Decision of Inverse Filtering Intensity in Non-coupling Mode In [11][1] of our nother wor, compenstion method of dditionl tone nd noise to mintin the db-difference of the tone nd noise component hs been proposed. In the non-coupling mode, bsed on the method, the selecting method of inverse filtering level is depended on the tonlity between the high bnds nd the low bnds. According to the syntx, ech specific noise bnd hs n inverse filtering mode individully. Furthermore, noise bnd my include severl high-resolution grids. Therefore, the tonlity of the noise bnd is defined in [11][1] s 18

28 T i NB = mx i NB, (16) N i where T i is the energy of tone in the i th high resolution grid of the noise bnd, N i is the energy of noise floor in the i th high resolution grid of noise bnd, nd NB is the noise bnds in the SBR frme. From (16), the mximum tonlity mong the high resolution grids stnds for the tonlity of the noise bnd. The gol of the inverse filtering mode is to imply tht the tonlity of the replicted low frequency bnd cn pproch the tonlity of the originl high frequency bnd, tht is ˆ =, (17) l NG h NG where l ˆ NG is the tonlity of the replicted low frequency bnd, h NG is the tonlity of the originl high frequency bnd. The optiml chirp fctor cn be evluted from (1 α )T l = N l T N h h, (18) where α is chirp fctor. Then the prctice chirp fctor cn be serched in the Tble 1 to pproximte the optiml one Decision of Inverse Filtering Intensity in Coupling Mode However, in the coupling mode, there is only one inverse filtering mode for two chnnels. To mesure the influence to the resultnt tonlities, the distortion function of the shred chirp fctor is defined s f ( x) 0 l 0 h 1 l 1 h = x + x, (19) where x = 1 α,, re the tonlity of low frequency in the left nd right 0 l 1 l chnnel respectively, nd 0 h, 1 h re the tonlity of high frequency in the left nd right chnnel respectively. Hence, the optiml chirp fctor shred by the two chnnels in the coupling mode should be the minimum solution of the distortion function (19). The optiml solution cn be clculted by solving the eqution of the one order differentil of the distortion function, 0 l ( ) + ( x ) = 0 x. (0) l h Form (0), the optiml chirp fctor in the coupling mode cn be evluted from x l l h = 1 α = l h l h. (1) 0 1 ( ) + ( ) l + But there is n exception when the originl signl is tone-rich. The inverse filtering l 19

29 mechnism must be turned off for the tone-rich frme, becuse the tone-rich signl must not be processed in order to mintin the structure completeness of the tone rich signl. Figure 16 illustrtes the inverse filtering mode decision in the coupling mode. Tone Tone rich rich signl signl detection detection Yes Inverse Inverse filtering filtering mode mode is is zero zero No Clculte Clculte tonlity tonlity of of noise noise grid grid Clculte Clculte optiml optiml chirp chirp fctor fctor Find Find corresponding corresponding inverse inverse filter filter mode mode Figure 16: Decision flowchrt of inverse filtering mode 3.4 Decision of Noise Floor Sclefctor As the quntiztion vlue of the noise floor fctor Q, the quntized noise floor scle fctor q is the prmeter djusting the reconstructed tone-noise content. However, ccording to the syntx constrint, in the coupling mode, the difference of q vlues between the two chnnels cn not be lrger thn twelve. Becuse of the restriction, the optiml q vlues in the coupling mode my be different from the ones in the norml mode. In this section, the modified decision method for coupling mode is proposed to determine the optiml quntized noise floor scle fctor. In [11][1] of our nother wor, the proposed method in the norml mode cn decide the optiml q to mintin the minimum distortion of the db-differences mong ll the high resolution grids contined in the single noise grid. There is only one q 0

30 vlue shred in single noise grid which includes severl high resolution grids. The distortion function is defined s where TD ( ) + ( ( Q) ) ND ( ) = ( Q) D Q ND TD, () is the idel tone/noise db-difference of originl signl in, re the resultnt tone/noise db-difference by q, if resolution grid, ND TD th high th high resolution grid is noise demnd grid nd tone demnd grid respectively. Hence, the optiml q vlue must be chosen to minimize the distortion function. { min[ D( Q) ]} Q * = Arg (3) Q In the coupling mode, for the quntiztion process of the noise floor fctor Q vlues, the Q vlues should be firstly chnged into A/R mode from the L/R mode to eliminte signl correltion. As mentioned bove, in the coupling mode, the rtio chnnel of the quntized noise floor needs to be restricted s [ ] And, the quntiztion formul of q rtio is defined s q 0,4. (4) rtio (, l) (, l) Q (, ) left q log rtio l = INT + 1, (5) Qright where Q left nd Q right re the noise floor of left nd right chnnel respectively, is the index of the frequency tble bnd in SBR, l is the index of the envelope. On the other hnd, the dequntiztion formul of the q vlue in the L/R mod is defined s Q q = 6 By substituting (6) into (5), it results in where ql nd. (6) 6 q L q log 1 6-q R rtio +, (7) q R re the quntized noise scle fctor in left nd right chnnel respectively. Hence, from (4) nd (7), the constrint of the noise floor scle fctor pir of the L/R mode is derived s [ 1,1] q q. (8) R L Hence, the serch rnge of the cndidtes of quntized L/R noise scle fctor pir in the coupling mode is smller thn the rnge in the norml mode. As shown in Figure 17, rnge Κ is the serch scope in the norml mode, the contrcted rnge χ is the serch scope in the coupling mode, where {( q, q ) Z 0 q, q 30} κ, (9) = L R L R 1

31 {( q, q ) κ q q 1} χ. (30) = L R L R q L 30 1 χ κ q R Figure 17: The serch rnge of quntized noise floor for different modes Hence, the distortion mesure function needs to be modified in the coupling mode to consider the two chnnel distortion under the inherent constrint. As n extension of (), the modified distortion function for the coupling mode is defined s where ( q) ( q q ) D( Q ( q )) + D( Q ( q )), ( q, q ) D C L, R = L L R R L R χ (31) Q is the de-quntiztion function of q. Furthermore, the optiml (Q L,Q R ) should be decided by choosing the minimum solution pir (q L, q R ) for the distortion function, tht is * * ( L, qr ) Arg min (, ) { [ DC ( ql qr )]} q =,. (3) ql qr χ Different from the brute-force method to serch optiml solution, modified serch method is proposed to reduce the time cost. Figure 18 illustrtes the proposed noise floor scle fctor decision. We expected tht the most pirs of the optiml quntized noise floor scle fctor for ech individul chnnel cn conform to the constrint of coupling mode. It mens the first serching trget should be the ones. Once the specil pir cn fit the constrint, the finl optiml solution is lso found nd the serch procedure cn be stopped. In summry, we serch the optiml scle fctors for ech chnnel fter the distortion clcultion nd chec of the difference between two chnnels. If the optiml scle fctors for ech individul chnnel cn t conform to the constrint, it will serch the remined cndidte pirs for the optiml solution of the coupling distortion function.

32 Clculte Clculte D(q) D(q) for for ll ll q q vlues vlues Find Find Min_q Min_q L, L, Min_q Min_q R R Min_q Min_q L -Min_q L -Min_q R >1 R >1 Yes q q L =Min_q L =Min_q L q L q R =Min_q R =Min_q R R No Find Find (q (q R,q R,q L ) L ) χ minimum minimum D C (q C (q R,q R,q L ) L ) Figure 18: Flowchrt of the propose serch method of the noise floor scle fctor decision 3.5 Coupling Switch Method The humn hering is reltively more sensitive for the low frequency then the high frequency. To improve the qulity of the LF component, the bsic objective of the coupling is to sve the consuming bits of the HF prt s mny s possible under the constrint of the lest qulity requirement. Unlie the spects of the intensity coding or M/S coding, the min ris of the coupling coding is from the more inccurte envelope of reconstructed high bnds, not fine structure loosing. Becuse the robustness of SBR, in generl, the coupling coding cn sve lrge mount of consuming bits, nd promote overll qulity under very smll riss. However, from 3

33 both the two spects, including the dt correltion degree nd quntiztion error vrition, the huge difference of the left nd right energy chnnels my result in the degrdtion of the coding gin nd the increse of the reconstruction error. Bsed on the two points, coupling switch decision method is proposed for the trdeoff between HF qulity nd demnd bits. Ting into ccount the bove riss with the lest bits consuming, the optiml represent domin of the signl, either L/R or A/R mode, will be chosen Quntiztion error nlysis As the following, the vritions of the quntiztion errors t different mode will be nlyzed. The spectrl energy is quntized into the scle fctor by ting time-frequency grid of the current frme s the recorder units. There re different quntiztion methods in the norml mode nd the coupling mode. The quntiztion formul in the norml mode is defined s ( l) (, l) INT, = mxlog, , 0 l, (33) 64 Q L, if bs _ mp _ res = 0 where =, is the index of the frequency tble bnd in SBR, 1, if bs _ mp _ res = 1 l is the index of the envelope, L is the number of envelope in current SBR frme, nd (,l) mens the energy of input signl in the norml mode, nd lso mens the verge energy between the stereo chnnel in coupling mode. Furthermore, the right chnnel quntiztion formul in the coupling mode is defined s QRight (, l) INT ( log ( (, l) ) + 0.5) + pnoffset( bs _ mp _ res) =, (34) where (,l) is the energy rtio between the stereo chnnel. On the other hnd, the de-quntiztion method for the norml mode in H-AAC decoder is defined s Orig (, l) = 64 (, l ) 0 l < L, 0 < n ( r( l) ), (35) where (,l) is decoded envelope scle fctor. Also, by the incorportion of the de-a/r opertion, the de-quntiztion method in the coupling mode is defined s LeftQrig ( l) 0 (, l ) + 1 = 64 pnoffset 1+,,, 0 l < L ( bs _ mp _ res) 1 ( l ) 0 < n( r( l) ), (36) 4

34 (, l ) l < L (, 0 RightQrig l) = 64, 1 _ 1+ where 0, 1 represent the decoded A/R envelope scle fctors (, l ) pnoffset ( bs _ mp res) 0 < n( r( l) ), (37) Through the quntiztion formuls bove, the reconstruction error cn be estimted. From (33) nd (35), the reconstruction vlue in the norml mode cn be clculted s int( mx(log ( ),0) + 0.5) 64 ' = 64, where is the energy of originl signl. From (38), If is smller thn 64, lwys 64. If is greter thn 64, ' ' is clculted s int( log ( ) + 0.5) 64 = 64. Form (39), the reltive error in the norml mode cn be evluted from ε (38) ' is ' = 1, (40) where someε loctes t the rnge from -0.5 to 0.5. If ε is zero vlue, it implies there is no reconstruction error. (39) From (33), (34), (36), nd (37), the reconstruction vlue of two chnnels in the coupling mode is derived s 1 + L R L int( log ( ) + 0.5) int( log ( ) + 0.5) 18 R ' = L 64 1+, (41) 1 + L R L int( log ( ) + 0.5) int( log ( ) + 0.5) 18 R ' = R 64 1+, (4) where L nd R re the energy of originl signl. The rtio of the reconstructed nd originl energies in the coupling mode cn be evluted from (41), (4), tht is ' L L Ψ = ε1+ ε Ψ ε ε1+ ε, (43) ' R R ε1 ε1 Ψ + = ε, (44) 1+ Ψ 5

35 where ε, nd ε [ 1.5, 0.5]. The constnt ε 1 is the L Ψ =, 1 [ 0.5,0.5] R quntiztion error of the energy quntiztion process, nd the constnt ε is the reconstruction error which results from the quntiztion process nd the DPCM opertion in the SBR nergy Abnorml Phenomenon From (43) nd (44), if Ψ is huge, the reconstruction error will pproximte the limit vlue s follows lim Ψ lim Ψ ' ε1 L L = ' ε1 ε R R, (45) =. (46) On the other hnd, if Ψ is very smll, the reconstruction error will pproximte the limit vlue s follows lim Ψ 0 ' L L ε 1+ε =, (47) If the vlues ' R ' L, R L lim Ψ 0 ' R R ε 1 =. (48) re more close to one, it mens the reltive error is more close to zero. However, from (40), (46), nd (47), the two vlue ε1 ε nd ε 1 + ε occurring in the coupling mode my be much lrger thn the vlue ε in the norml mode. This is becuse tht the ε belongs the rnge from 0.5 to -0.5, nd the distribution of ε1 ε nd ε 1 + ε is lrger, tht is ε 1 ε [ 1, ], nd ε + ε,1. It implies tht the reconstructed error of weer chnnel my 1 [ ] bnormlly become very lrge when the energy difference between the two chnnels is lrge. For exmple, Figure 19 is the spectrum of the test stereo signl to illustrte the error ugment phenomenon. The test trc hs high energy difference in HF between L/R chnnels. As shown in Figure 0, it is the comprison of reconstruction signl between coupling nd norml mode. The energy difference is bout 3 db between the reconstruction signls in the coupling nd norml mode. Figure 1 indictes tht the stronger chnnel hs the nerer reconstruction signl between coupling nd norml mode. 6

36 In order to limit the reconstruction error to the endurble rnge, it needs to find the resonble reltive rnge of Ψ to switch coupling mode. Figure nd Figure 3 illustrte the reltionship between Ψ nd the men of reltive error in the right chnnel. The men of reltive error is clculted s follows men( ε 1 + Ψ ε1 ε Ψ Ψ ) = 1 dε ε 1d (49) The men of reltive error is close rpidly to the upper bound when Ψ is over 8, nd the coupling mechnism should be turned off to void the nnoying phenomenon of the error ugment. Figure 4 nd Figure 5 indicte the reltionship between Ψ nd the vrince of reltive error in the right chnnel. The vrince of reltive error is clculted s follows ε1 ε Ψ vrince( Ψ ) = 1 men( ) dε1dε ε Ψ. (50) 1 + Ψ The vrince of reltive error is lso close rpidly to the upper bound when Ψ is over 8. There is trde-off between the reconstruction error nd the sved bit, nd hence switch threshold is required to void extreme reconstruction error. Similrly, Figure 6 nd Figure 7 illustrte the reltionship between Ψ nd the men of reltive error in the left chnnel. Figure 8 nd Figure 9 indicte the reltionship between Ψ nd the vrince of reltive error in the left chnnel. The men nd vrince of reltive error is clculted s nd men( ε Ψ + ε1 ε Ψ Ψ ) = 1 dε ε 1d (51) ε1 ε Ψ vrince( Ψ ) = 1 men( ) dε1dε ε Ψ (5) Ψ + for left chnnel, respectively. According to the men nd vrince of reltive error, the switch threshold is set to 8 to void the high reltive error. 7

37 Figure 19: The test trc hs high energy difference in high frequency Figure 0: The high reconstruction error in weer chnnel Figure 1: The low reconstruction error in stronger chnnel Figure : The reltionship between men of reltive error nd Ψ when Ψ is more 8

38 thn one in the right chnnel Figure 3: The reltionship between men of reltive error nd Ψ when Ψ is less thn one in the right chnnel Figure 4: The reltionship between vrince of reltive error nd Ψ when Ψ is more thn one in the right chnnel Figure 5: The reltionship between vrince of reltive error nd Ψ when Ψ is less thn one in the right chnnel 9

39 Figure 6: The reltionship between men of reltive error nd Ψ when Ψ is more thn one in the left chnnel Figure 7: The reltionship between men of reltive error nd Ψ when Ψ is less thn one in the left chnnel Figure 8: The reltionship between vrince of reltive error nd Ψ when Ψ is more thn one in the left chnnel 30

40 Figure 9: The reltionship between vrince of reltive error nd Ψ when Ψ is less thn one in the left chnnel Summry Therefore, the criterion of the proposed coupling switch method focuses on the verge energy difference in the SBR rnge to void the bnorml phenomenon. The verge energy difference is clculted from the energy rtio which is divided by criticl unit. The number of smples of criticl bnd in high frequency is different from the number in the low frequency, hence the energy rtio must be normlized s follows, Diff = j c c F r ( ) ( ) c, l c, log log j c j, (53) where c is the criticl unit we used in Section 3., c i, j is the j th smple energy of criticl unit c of chnnel i, nd c is the number of smples of criticl unit. Figure 30 illustrtes the proposed coupling switch method which detects of the huge verge energy difference. 31

41 Clculte Clculte verge verge energy energy difference difference Averge Averge energy energy difference difference > > Threshold Threshold Yes Use Use norml norml mode mode No Use Use coupling coupling mode mode Figure 30: Coupling Switch Flowchrt. 3

42 Chpter 4 xperiments In this chpter, the qulity mesurement is conducted on the NCTU_HAAC pltform. xtensive experiments re performed to prove the enhncement of the proposed methods on the MPG test trcs nd the music dtbse [13] collected in PSPLAB. 4.1 xperiment nvironment Objective Qulity Mesurement Tool: The tool clled AQUAL [14] is chosen to mesure the udio qulity in the objective test. AQUAL stnds for vlution of Audio Qulity. The purpose of AQUAL is to supply the udio objective qulity mesurement for coded/decoded udio signls especilly useful for udio codec development. The implementtion of AQUAL is bsed on the ITU-R recommendtion BS.1387 [15]. Subjective Qulity Mesurement Tool: In subjective qulity test, we use MUSHRA [16] to ssist the ssessment. Multi stimulus test with hidden nchors nd reference hs been designed to give relible nd repetble mesure of the udio qulity of intermedite-qulity signls. MUSHRA hs the dvntge tht it provides n bsolute mesure of the udio qulity of the codec which cn be compred directly with the reference. MUSHRA follows the test method nd impirment scle recommended by the ITU-R BS.1116 [17]. 33

43 4. Objective Qulity Mesurement in MPG Test Trcs MPG twelve trcs include criticl music blncing on the percussion, string, wind instruments, nd humn vocl. The fetures of these twelve trcs re shown in the Tble 4. In this section, it will verify the qulity enhncement of proposed methods in different bit rtes bsed on the MPG test trcs. Tble 4: The twelve trcs recommended by MPG Trcs Signl Description Signls Mode Time (sec) Remr 1 es01 Vocl (Suzn Veg) stereo 10 (c) es0 Germn speech stereo 8 (c) 3 es03 nglish speech stereo 7 (c) 4 sc01 Trumpet solo nd orchestr stereo 10 (b) (d) 5 sc0 Orchestrl piece stereo 1 (d) 6 sc03 Contemporry pop music stereo 11 (d) 7 si01 Hrpsichord stereo 7 (b) 8 si0 Cstnets stereo 7 () 9 si03 pitch pipe stereo 7 (b) 10 sm01 Bgpipes stereo 11 (b) 11 sm0 Glocenspiel stereo 10 () (b) 1 sm03 Pluced strings stereo 13 () (b) Remrs: () Trnsients: pre-echo sensitive, smering of noise in temporl domin. (b) Tonl/Hrmonic structure: noise sensitive, roughness. (c) Nturl vocl (criticl combintion of tonl prts nd ttcs): distortion sensitive, smering of ttcs. (d) Complex sound: stresses the device under test. 34

44 Tble 5: Objective mesurements through the ODGs for proposed coupling pproch t 80 bps Codec NCTU-HAAC Bit Rte 80 bps Trcs M0 M1 es es es sc sc sc si si si sm sm sm Mx Min Averge M0: coupling mode disbled M1: coupling mode enbled Figure 31: The vrince in the ODGs of proposed coupling pproches t 80 bps 35

45 Tble 6: Objective mesurements through the ODGs for proposed coupling pproch t 64 bps Codec NCTU-HAAC Bit Rte 64 bps Trcs M0 M1 es es es sc sc sc si si si sm sm sm Mx Min Averge M0: coupling mode disbled M1: coupling mode enbled Figure 3: The vrince in the ODGs of proposed coupling pproches t 64 bps 36

46 Tble 7: Objective mesurements through the ODGs for proposed coupling pproch t 48 bps Codec NCTU-HAAC Bit Rte 48 bps Trcs M0 M1 es es es sc sc sc si si si sm sm sm Mx Min Averge M0: coupling mode disbled M1: coupling mode enbled Figure 33: The vrince in the ODGs of proposed coupling pproches t 48 bps 37

47 According to the result of the objective test, the encoder which enbles coupling mode hs better qulity. specilly, becuse of the similrity of L/R chnnels, the voice trcs including es01, es0 nd es03 hve the conspicuous improvement mong ll the test trcs. On the other hnd, the improvement degree is lrger with the bit-rte decreses. This is becuse tht the sved bits by coupling coding re more importnt t the lower bit-rte. 4.3 Objective Qulity Mesurement in Music Dtbse To confirm the possible ris nd robustness of proposed methods, extensive tests re dpted to verify the qulities of these methods. In PSPLb udio dtbse [13], here re 15 sets. For ech bitstrem set, they re described in Tble 8. Bitstrem Ctegories # of trcs Tble 8: The PSPLb udio dtbse [13] Remr 1 Ff Killer bitstrem collection from ff13 [18]. Gpsycho 4 LAM qulity test bitstrem [19]. 3 HA64KTest 39 4 HA18KTestV 1 5 Horrible_song 16 6 Ingets bps test bitstrem for multi-formt in HA forum [0]. 18 bps test bitstrem for multi-formt in HA forum [0]. Collections of criticl songs mong ll bitstrems in PSPLb. Bitstrem collection from the test of OGG Vorbis pre 1.0 listening test [1]. MPG 1 MPG test bitstrem set for 48000Hz. MPG MPG test bitstrem set for Hz. Phong 8 Test bistrem collection from Phong []. PSPLb 37 Collections of bitstrem from erly ge of PSPLb. Some re good s iller. Sjeng 3 Smll bitstrem collection by sjeng. SQAM 16 Sound qulity ssessment mteril recordings for subjective tests [3]. TestingSong14 14 Test bitstrem collection from rshong, PSPLb. TonlSignls 15 Artificil bitstrem tht contins sin wve etc. VORBIS_TSTS_ Smples 8 ight Vobis testing smples from HA [0]. 38

48 M0: coupling mode disbled M1: coupling mode enbled Figure 34: The verge ODGs of method M0 nd M1 t 80bps in 16 ctegories Figure 35: The verge ODGs of method M0 nd M1 t 64bps in 16 ctegories Figure 36: The verge ODGs of method M0 nd M1 t 48bps in 16 ctegories 39

49 Figure 34 5 illustrte the experiments for the 15 bitstrem sets t the different bit-rtes, where the brs indicte the verge ODG of the bitstrem sets. For the most cses, the qulity under the coupling mode is better thn the one under non-coupling mode. The min chrcteristic of the improvement trcs is tht L/R chnnels re similr in HF component. On the other hnd, there re two trcs which degrde qulity in the coupling mode. The two trcs re impulse_m0_0db nd tringle1 in the TonlSignls set. As shown in Figure 37, the cuse of the degrdtion of the impulse_m0_0db trc is tht the silence suffers the spreding noise in coupling mode. Furthermore, the mechnism of the noise-floor correction [11] will miss detection in coupling mode for tringle1. Figure 39 nd Figure 40 show the spectrums which re reconstructed under the norml mode nd the coupling mode, respectively. Figure 37: The suffered spectrum of the silence in the impulse_m0_0db trc Figure 38: The spectrum of the tringle1 trc in the TonlSignls set 40

50 Figure 39: Reconstructed spectrogrm of the tringle1 trc in norml mode Figure 40: Reconstructed spectrogrm of the tringle1 trc in coupling mode 4.4 Subjective Qulity Mesurement After the objective qulity mesurement, the subjective listening test needs to be performed to verify the qulity improvement nd possible ris of proposed methods in this thesis. The twelve test trcs re selected from the MPG test trcs. The subjective listening test is performed on the codec NCTU-HAAC nd use the tool clled MUSHRA to ssist the ssessment. The result of the subjective qulity mesurement is shown in the following figure. M0: coupling mode disbled M1: coupling mode enbled 41

Synchronous Machine Parameter Measurement

Synchronous Machine Parameter Measurement Synchronous Mchine Prmeter Mesurement 1 Synchronous Mchine Prmeter Mesurement Introduction Wound field synchronous mchines re mostly used for power genertion but lso re well suited for motor pplictions

More information

Synchronous Machine Parameter Measurement

Synchronous Machine Parameter Measurement Synchronous Mchine Prmeter Mesurement 1 Synchronous Mchine Prmeter Mesurement Introduction Wound field synchronous mchines re mostly used for power genertion but lso re well suited for motor pplictions

More information

Experiment 3: Non-Ideal Operational Amplifiers

Experiment 3: Non-Ideal Operational Amplifiers Experiment 3: Non-Idel Opertionl Amplifiers Fll 2009 Equivlent Circuits The bsic ssumptions for n idel opertionl mplifier re n infinite differentil gin ( d ), n infinite input resistnce (R i ), zero output

More information

Experiment 3: Non-Ideal Operational Amplifiers

Experiment 3: Non-Ideal Operational Amplifiers Experiment 3: Non-Idel Opertionl Amplifiers 9/11/06 Equivlent Circuits The bsic ssumptions for n idel opertionl mplifier re n infinite differentil gin ( d ), n infinite input resistnce (R i ), zero output

More information

ABB STOTZ-KONTAKT. ABB i-bus EIB Current Module SM/S Intelligent Installation Systems. User Manual SM/S In = 16 A AC Un = 230 V AC

ABB STOTZ-KONTAKT. ABB i-bus EIB Current Module SM/S Intelligent Installation Systems. User Manual SM/S In = 16 A AC Un = 230 V AC User Mnul ntelligent nstlltion Systems A B 1 2 3 4 5 6 7 8 30 ma 30 ma n = AC Un = 230 V AC 30 ma 9 10 11 12 C ABB STOTZ-KONTAKT Appliction Softwre Current Vlue Threshold/1 Contents Pge 1 Device Chrcteristics...

More information

CHAPTER 2 LITERATURE STUDY

CHAPTER 2 LITERATURE STUDY CHAPTER LITERATURE STUDY. Introduction Multipliction involves two bsic opertions: the genertion of the prtil products nd their ccumultion. Therefore, there re two possible wys to speed up the multipliction:

More information

MAXIMUM FLOWS IN FUZZY NETWORKS WITH FUNNEL-SHAPED NODES

MAXIMUM FLOWS IN FUZZY NETWORKS WITH FUNNEL-SHAPED NODES MAXIMUM FLOWS IN FUZZY NETWORKS WITH FUNNEL-SHAPED NODES Romn V. Tyshchuk Informtion Systems Deprtment, AMI corportion, Donetsk, Ukrine E-mil: rt_science@hotmil.com 1 INTRODUCTION During the considertion

More information

Exercise 1-1. The Sine Wave EXERCISE OBJECTIVE DISCUSSION OUTLINE. Relationship between a rotating phasor and a sine wave DISCUSSION

Exercise 1-1. The Sine Wave EXERCISE OBJECTIVE DISCUSSION OUTLINE. Relationship between a rotating phasor and a sine wave DISCUSSION Exercise 1-1 The Sine Wve EXERCISE OBJECTIVE When you hve completed this exercise, you will be fmilir with the notion of sine wve nd how it cn be expressed s phsor rotting round the center of circle. You

More information

INSTITUTE OF AERONAUTICAL ENGINEERING (Autonomous) Dundigal, Hyderabad

INSTITUTE OF AERONAUTICAL ENGINEERING (Autonomous) Dundigal, Hyderabad Hll Ticket No Question Pper Code: AEC009 INSTITUTE OF AERONAUTICAL ENGINEERING (Autonomous) Dundigl, Hyderd - 500 043 MODEL QUESTION PAPER Four Yer B.Tech V Semester End Exmintions, Novemer - 2018 Regultions:

More information

Interference Cancellation Method without Feedback Amount for Three Users Interference Channel

Interference Cancellation Method without Feedback Amount for Three Users Interference Channel Open Access Librry Journl 07, Volume, e57 ISSN Online: -97 ISSN Print: -9705 Interference Cncelltion Method without Feedbc Amount for Three Users Interference Chnnel Xini Tin, otin Zhng, Wenie Ji School

More information

Engineer-to-Engineer Note

Engineer-to-Engineer Note Engineer-to-Engineer Note EE-297 Technicl notes on using Anlog Devices DSPs, processors nd development tools Visit our Web resources http://www.nlog.com/ee-notes nd http://www.nlog.com/processors or e-mil

More information

Algorithms for Memory Hierarchies Lecture 14

Algorithms for Memory Hierarchies Lecture 14 Algorithms for emory Hierrchies Lecture 4 Lecturer: Nodri Sitchinv Scribe: ichel Hmnn Prllelism nd Cche Obliviousness The combintion of prllelism nd cche obliviousness is n ongoing topic of reserch, in

More information

Synchronous Generator Line Synchronization

Synchronous Generator Line Synchronization Synchronous Genertor Line Synchroniztion 1 Synchronous Genertor Line Synchroniztion Introduction One issue in power genertion is synchronous genertor strting. Typiclly, synchronous genertor is connected

More information

Understanding Basic Analog Ideal Op Amps

Understanding Basic Analog Ideal Op Amps Appliction Report SLAA068A - April 2000 Understnding Bsic Anlog Idel Op Amps Ron Mncini Mixed Signl Products ABSTRACT This ppliction report develops the equtions for the idel opertionl mplifier (op mp).

More information

Study on SLT calibration method of 2-port waveguide DUT

Study on SLT calibration method of 2-port waveguide DUT Interntionl Conference on Advnced Electronic cience nd Technology (AET 206) tudy on LT clibrtion method of 2-port wveguide DUT Wenqing Luo, Anyong Hu, Ki Liu nd Xi Chen chool of Electronics nd Informtion

More information

DYE SOLUBILITY IN SUPERCRITICAL CARBON DIOXIDE FLUID

DYE SOLUBILITY IN SUPERCRITICAL CARBON DIOXIDE FLUID THERMAL SCIENCE, Yer 2015, Vol. 19, No. 4, pp. 1311-1315 1311 DYE SOLUBILITY IN SUPERCRITICAL CARBON DIOXIDE FLUID by Jun YAN, Li-Jiu ZHENG *, Bing DU, Yong-Fng QIAN, nd Fng YE Lioning Provincil Key Lbortory

More information

Fuzzy Logic Controller for Three Phase PWM AC-DC Converter

Fuzzy Logic Controller for Three Phase PWM AC-DC Converter Journl of Electrotechnology, Electricl Engineering nd Mngement (2017) Vol. 1, Number 1 Clusius Scientific Press, Cnd Fuzzy Logic Controller for Three Phse PWM AC-DC Converter Min Muhmmd Kml1,, Husn Ali2,b

More information

The Discussion of this exercise covers the following points:

The Discussion of this exercise covers the following points: Exercise 4 Bttery Chrging Methods EXERCISE OBJECTIVE When you hve completed this exercise, you will be fmilir with the different chrging methods nd chrge-control techniques commonly used when chrging Ni-MI

More information

CHAPTER 3 AMPLIFIER DESIGN TECHNIQUES

CHAPTER 3 AMPLIFIER DESIGN TECHNIQUES CHAPTER 3 AMPLIFIER DEIGN TECHNIQUE 3.0 Introduction olid-stte microwve mplifiers ply n importnt role in communiction where it hs different pplictions, including low noise, high gin, nd high power mplifiers.

More information

Exponential-Hyperbolic Model for Actual Operating Conditions of Three Phase Arc Furnaces

Exponential-Hyperbolic Model for Actual Operating Conditions of Three Phase Arc Furnaces Americn Journl of Applied Sciences 6 (8): 1539-1547, 2009 ISSN 1546-9239 2009 Science Publictions Exponentil-Hyperbolic Model for Actul Operting Conditions of Three Phse Arc Furnces 1 Mhdi Bnejd, 2 Rhmt-Allh

More information

Information-Coupled Turbo Codes for LTE Systems

Information-Coupled Turbo Codes for LTE Systems Informtion-Coupled Turbo Codes for LTE Systems Lei Yng, Yixun Xie, Xiowei Wu, Jinhong Yun, Xingqing Cheng nd Lei Wn rxiv:709.06774v [cs.it] 20 Sep 207 Abstrct We propose new clss of informtion-coupled

More information

Lecture 16: Four Quadrant operation of DC Drive (or) TYPE E Four Quadrant chopper Fed Drive: Operation

Lecture 16: Four Quadrant operation of DC Drive (or) TYPE E Four Quadrant chopper Fed Drive: Operation Lecture 16: Four Qudrnt opertion of DC Drive (or) TYPE E Four Qudrnt chopper Fed Drive: Opertion The rmture current I is either positive or negtive (flow in to or wy from rmture) the rmture voltge is lso

More information

TIME: 1 hour 30 minutes

TIME: 1 hour 30 minutes UNIVERSITY OF AKRON DEPARTMENT OF ELECTRICAL AND COMPUTER ENGINEERING 4400: 34 INTRODUCTION TO COMMUNICATION SYSTEMS - Spring 07 SAMPLE FINAL EXAM TIME: hour 30 minutes INSTRUCTIONS: () Write your nme

More information

METHOD OF LOCATION USING SIGNALS OF UNKNOWN ORIGIN. Inventor: Brian L. Baskin

METHOD OF LOCATION USING SIGNALS OF UNKNOWN ORIGIN. Inventor: Brian L. Baskin METHOD OF LOCATION USING SIGNALS OF UNKNOWN ORIGIN Inventor: Brin L. Bskin 1 ABSTRACT The present invention encompsses method of loction comprising: using plurlity of signl trnsceivers to receive one or

More information

EET 438a Automatic Control Systems Technology Laboratory 5 Control of a Separately Excited DC Machine

EET 438a Automatic Control Systems Technology Laboratory 5 Control of a Separately Excited DC Machine EE 438 Automtic Control Systems echnology bortory 5 Control of Seprtely Excited DC Mchine Objective: Apply proportionl controller to n electromechnicl system nd observe the effects tht feedbck control

More information

Section 16.3 Double Integrals over General Regions

Section 16.3 Double Integrals over General Regions Section 6.3 Double Integrls over Generl egions Not ever region is rectngle In the lst two sections we considered the problem of integrting function of two vribles over rectngle. This sitution however is

More information

Application of Wavelet De-noising in Vibration Torque Measurement

Application of Wavelet De-noising in Vibration Torque Measurement IJCSI Interntionl Journl of Computer Science Issues, Vol. 9, Issue 5, No 3, September 01 www.ijcsi.org 9 Appliction of Wvelet De-noising in Vibrtion orque Mesurement Ho Zho 1 1 Jixing University, Jixing,

More information

Simulation of Transformer Based Z-Source Inverter to Obtain High Voltage Boost Ability

Simulation of Transformer Based Z-Source Inverter to Obtain High Voltage Boost Ability Interntionl Journl of cience, Engineering nd Technology Reserch (IJETR), olume 4, Issue 1, October 15 imultion of Trnsformer Bsed Z-ource Inverter to Obtin High oltge Boost Ability A.hnmugpriy 1, M.Ishwry

More information

High-speed Simulation of the GPRS Link Layer

High-speed Simulation of the GPRS Link Layer 989 High-speed Simultion of the GPRS Link Lyer J Gozlvez nd J Dunlop Deprtment of Electronic nd Electricl Engineering, University of Strthclyde 204 George St, Glsgow G-lXW, Scotlnd Tel: +44 4 548 206,

More information

Power-Aware FPGA Logic Synthesis Using Binary Decision Diagrams

Power-Aware FPGA Logic Synthesis Using Binary Decision Diagrams Power-Awre FPGA Logic Synthesis Using Binry Decision Digrms Kevin Oo Tinmung, Dvid Howlnd, nd Russell Tessier Deprtment of Electricl nd Computer Engineering University of Msschusetts Amherst, MA 01003

More information

CSI-SF: Estimating Wireless Channel State Using CSI Sampling & Fusion

CSI-SF: Estimating Wireless Channel State Using CSI Sampling & Fusion CSI-SF: Estimting Wireless Chnnel Stte Using CSI Smpling & Fusion Riccrdo Crepldi, Jeongkeun Lee, Rul Etkin, Sung-Ju Lee, Robin Krvets University of Illinois t Urbn-Chmpign Hewlett-Pckrd Lbortories Emil:{rcrepl,rhk}@illinoisedu,

More information

Redundancy Data Elimination Scheme Based on Stitching Technique in Image Senor Networks

Redundancy Data Elimination Scheme Based on Stitching Technique in Image Senor Networks Sensors & Trnsducers 204 by IFSA Publishing, S. L. http://www.sensorsportl.com Redundncy Dt Elimintion Scheme Bsed on Stitching Technique in Imge Senor Networks hunling Tng hongqing Technology nd Business

More information

Energy Harvesting Two-Way Channels With Decoding and Processing Costs

Energy Harvesting Two-Way Channels With Decoding and Processing Costs IEEE TRANSACTIONS ON GREEN COMMUNICATIONS AND NETWORKING, VOL., NO., MARCH 07 3 Energy Hrvesting Two-Wy Chnnels With Decoding nd Processing Costs Ahmed Arf, Student Member, IEEE, Abdulrhmn Bknin, Student

More information

Study Guide # Vectors in R 2 and R 3. (a) v = a, b, c = a i + b j + c k; vector addition and subtraction geometrically using parallelograms

Study Guide # Vectors in R 2 and R 3. (a) v = a, b, c = a i + b j + c k; vector addition and subtraction geometrically using parallelograms Study Guide # 1 MA 26100 - Fll 2018 1. Vectors in R 2 nd R 3 () v =, b, c = i + b j + c k; vector ddition nd subtrction geometriclly using prllelogrms spnned by u nd v; length or mgnitude of v =, b, c,

More information

A Novel Back EMF Zero Crossing Detection of Brushless DC Motor Based on PWM

A Novel Back EMF Zero Crossing Detection of Brushless DC Motor Based on PWM A ovel Bck EMF Zero Crossing Detection of Brushless DC Motor Bsed on PWM Zhu Bo-peng Wei Hi-feng School of Electricl nd Informtion, Jingsu niversity of Science nd Technology, Zhenjing 1003 Chin) Abstrct:

More information

Application Note. Differential Amplifier

Application Note. Differential Amplifier Appliction Note AN367 Differentil Amplifier Author: Dve n Ess Associted Project: Yes Associted Prt Fmily: CY8C9x66, CY8C7x43, CY8C4x3A PSoC Designer ersion: 4. SP3 Abstrct For mny sensing pplictions, desirble

More information

DESIGN OF CONTINUOUS LAG COMPENSATORS

DESIGN OF CONTINUOUS LAG COMPENSATORS DESIGN OF CONTINUOUS LAG COMPENSATORS J. Pulusová, L. Körösi, M. Dúbrvská Institute of Robotics nd Cybernetics, Slovk University of Technology, Fculty of Electricl Engineering nd Informtion Technology

More information

Y9.ET1.3 Implementation of Secure Energy Management against Cyber/physical Attacks for FREEDM System

Y9.ET1.3 Implementation of Secure Energy Management against Cyber/physical Attacks for FREEDM System Y9.ET1.3 Implementtion of Secure Energy ngement ginst Cyber/physicl Attcks for FREED System Project Leder: Fculty: Students: Dr. Bruce cillin Dr. o-yuen Chow Jie Dun 1. Project Gols Develop resilient cyber-physicl

More information

Compared to generators DC MOTORS. Back e.m.f. Back e.m.f. Example. Example. The construction of a d.c. motor is the same as a d.c. generator.

Compared to generators DC MOTORS. Back e.m.f. Back e.m.f. Example. Example. The construction of a d.c. motor is the same as a d.c. generator. Compred to genertors DC MOTORS Prepred by Engr. JP Timol Reference: Electricl nd Electronic Principles nd Technology The construction of d.c. motor is the sme s d.c. genertor. the generted e.m.f. is less

More information

Implementation of Different Architectures of Forward 4x4 Integer DCT For H.264/AVC Encoder

Implementation of Different Architectures of Forward 4x4 Integer DCT For H.264/AVC Encoder Implementtion of Different Architectures of Forwrd 4x4 Integer DCT For H.64/AVC Encoder Bunji Antoinette Ringnyu, Ali Tngel, Emre Krulut 3 Koceli University, Institute of Science nd Technology, Koceli,

More information

Convolutional Networks. Lecture slides for Chapter 9 of Deep Learning Ian Goodfellow

Convolutional Networks. Lecture slides for Chapter 9 of Deep Learning Ian Goodfellow Convolutionl Networks Lecture slides for Chpter 9 of Deep Lerning In Goodfellow 2016-09-12 Convolutionl Networks Scle up neurl networks to process very lrge imges / video sequences Sprse connections Prmeter

More information

High Speed On-Chip Interconnects: Trade offs in Passive Termination

High Speed On-Chip Interconnects: Trade offs in Passive Termination High Speed On-Chip Interconnects: Trde offs in Pssive Termintion Rj Prihr University of Rochester, NY, USA prihr@ece.rochester.edu Abstrct In this pper, severl pssive termintion schemes for high speed

More information

A Development of Earthing-Resistance-Estimation Instrument

A Development of Earthing-Resistance-Estimation Instrument A Development of Erthing-Resistnce-Estimtion Instrument HITOSHI KIJIMA Abstrct: - Whenever erth construction work is done, the implnted number nd depth of electrodes hve to be estimted in order to obtin

More information

Math 116 Calculus II

Math 116 Calculus II Mth 6 Clculus II Contents 7 Additionl topics in Integrtion 7. Integrtion by prts..................................... 7.4 Numericl Integrtion.................................... 7 7.5 Improper Integrl......................................

More information

Lecture 20. Intro to line integrals. Dan Nichols MATH 233, Spring 2018 University of Massachusetts.

Lecture 20. Intro to line integrals. Dan Nichols MATH 233, Spring 2018 University of Massachusetts. Lecture 2 Intro to line integrls Dn Nichols nichols@mth.umss.edu MATH 233, Spring 218 University of Msschusetts April 12, 218 (2) onservtive vector fields We wnt to determine if F P (x, y), Q(x, y) is

More information

Three-Phase Synchronous Machines The synchronous machine can be used to operate as: 1. Synchronous motors 2. Synchronous generators (Alternator)

Three-Phase Synchronous Machines The synchronous machine can be used to operate as: 1. Synchronous motors 2. Synchronous generators (Alternator) Three-Phse Synchronous Mchines The synchronous mchine cn be used to operte s: 1. Synchronous motors 2. Synchronous genertors (Alterntor) Synchronous genertor is lso referred to s lterntor since it genertes

More information

A Slot-Asynchronous MAC Protocol Design for Blind Rendezvous in Cognitive Radio Networks

A Slot-Asynchronous MAC Protocol Design for Blind Rendezvous in Cognitive Radio Networks Globecom 04 - Wireless Networking Symposium A Slot-Asynchronous MAC Protocol Design for Blind Rendezvous in Cognitive Rdio Networks Xingy Liu nd Jing Xie Deprtment of Electricl nd Computer Engineering

More information

A New Stochastic Inner Product Core Design for Digital FIR Filters

A New Stochastic Inner Product Core Design for Digital FIR Filters MATEC Web of Conferences, (7) DOI:./ mtecconf/7 CSCC 7 A New Stochstic Inner Product Core Design for Digitl FIR Filters Ming Ming Wong,, M. L. Dennis Wong, Cishen Zhng, nd Ismt Hijzin Fculty of Engineering,

More information

Adaptive Network Coding for Wireless Access Networks

Adaptive Network Coding for Wireless Access Networks Adptive Network Coding for Wireless Access Networks Tun Trn School of Electricl Engineering nd Computer Science Oregon Stte University, Corvllis, Oregon 9733 Emil: trntu@eecs.orst.edu Thinh Nguyen School

More information

Section Thyristor converter driven DC motor drive

Section Thyristor converter driven DC motor drive Section.3 - Thyristor converter driven DC motor drive.3.1 Introduction Controllble AC-DC converters using thyristors re perhps the most efficient nd most robust power converters for use in DC motor drives.

More information

Eliminating Non-Determinism During Test of High-Speed Source Synchronous Differential Buses

Eliminating Non-Determinism During Test of High-Speed Source Synchronous Differential Buses Eliminting Non-Determinism During of High-Speed Source Synchronous Differentil Buses Abstrct The t-speed functionl testing of deep sub-micron devices equipped with high-speed I/O ports nd the synchronous

More information

Example. Check that the Jacobian of the transformation to spherical coordinates is

Example. Check that the Jacobian of the transformation to spherical coordinates is lss, given on Feb 3, 2, for Mth 3, Winter 2 Recll tht the fctor which ppers in chnge of vrible formul when integrting is the Jcobin, which is the determinnt of mtrix of first order prtil derivtives. Exmple.

More information

Module 9. DC Machines. Version 2 EE IIT, Kharagpur

Module 9. DC Machines. Version 2 EE IIT, Kharagpur Module 9 DC Mchines Version EE IIT, Khrgpur esson 40 osses, Efficiency nd Testing of D.C. Mchines Version EE IIT, Khrgpur Contents 40 osses, efficiency nd testing of D.C. mchines (esson-40) 4 40.1 Gols

More information

Soft-decision Viterbi Decoding with Diversity Combining. T.Sakai, K.Kobayashi, S.Kubota, M.Morikura, S.Kato

Soft-decision Viterbi Decoding with Diversity Combining. T.Sakai, K.Kobayashi, S.Kubota, M.Morikura, S.Kato Softdecision Viterbi Decoding with Diversity Combining T.Ski, K.Kobyshi, S.Kubot, M.Morikur, S.Kto NTT Rdio Communiction Systems Lbortories 2356 Tke, Yokosukshi, Kngw, 2383 Jpn ABSTRACT Diversity combining

More information

A Simple Approach to Control the Time-constant of Microwave Integrators

A Simple Approach to Control the Time-constant of Microwave Integrators 5 VOL., NO.3, MA, A Simple Approch to Control the Time-constnt of Microwve Integrtors Dhrmendr K. Updhyy* nd Rkesh K. Singh NSIT, Division of Electronics & Communiction Engineering New Delhi-78, In Tel:

More information

Joanna Towler, Roading Engineer, Professional Services, NZTA National Office Dave Bates, Operations Manager, NZTA National Office

Joanna Towler, Roading Engineer, Professional Services, NZTA National Office Dave Bates, Operations Manager, NZTA National Office . TECHNICA MEMOANDM To Cc repred By Endorsed By NZTA Network Mngement Consultnts nd Contrctors NZTA egionl Opertions Mngers nd Are Mngers Dve Btes, Opertions Mnger, NZTA Ntionl Office Jonn Towler, oding

More information

Design and Modeling of Substrate Integrated Waveguide based Antenna to Study the Effect of Different Dielectric Materials

Design and Modeling of Substrate Integrated Waveguide based Antenna to Study the Effect of Different Dielectric Materials Design nd Modeling of Substrte Integrted Wveguide bsed Antenn to Study the Effect of Different Dielectric Mterils Jgmeet Kour 1, Gurpdm Singh 1, Sndeep Ary 2 1Deprtment of Electronics nd Communiction Engineering,

More information

Multipath Mitigation for Bridge Deformation Monitoring

Multipath Mitigation for Bridge Deformation Monitoring Journl of Globl Positioning Systems (22) Vol. 1, No. 1: 25-33 Multipth Mitigtion for Bridge Deformtion Monitoring G. W. Roberts, X. Meng, A. H. Dodson, E. Cosser Institute of Engineering Surveying nd Spce

More information

PB-735 HD DP. Industrial Line. Automatic punch and bind machine for books and calendars

PB-735 HD DP. Industrial Line. Automatic punch and bind machine for books and calendars PB-735 HD DP Automtic punch nd bind mchine for books nd clendrs A further step for the utomtion of double loop binding. A clever nd flexible mchine ble to punch nd bind in line up to 9/16. Using the best

More information

Performance Monitoring Fundamentals: Demystifying Performance Assessment Techniques

Performance Monitoring Fundamentals: Demystifying Performance Assessment Techniques Simplifying PID Control. Optimizing Plnt Performnce. Performnce Monitoring Fundmentls: Demystifying Performnce Assessment Techniques Roert C. Rice, PhD Rchelle R. Jyringi Dougls J. Cooper, PhD Control

More information

Postprint. This is the accepted version of a paper presented at IEEE PES General Meeting.

Postprint.   This is the accepted version of a paper presented at IEEE PES General Meeting. http://www.div-portl.org Postprint This is the ccepted version of pper presented t IEEE PES Generl Meeting. Cittion for the originl published pper: Mhmood, F., Hooshyr, H., Vnfretti, L. (217) Sensitivity

More information

ECE 274 Digital Logic

ECE 274 Digital Logic ECE - Digitl Logic (Textbook - Required) ECE Digitl Logic Instructor: Romn Lysecky, rlysecky@ece.rizon.edu Office Hours: TBA, ECE F Lecture: MWF :-: PM, ILC Course Website: http://www.ece.rizon.edu/~ece/

More information

Digital Design. Chapter 1: Introduction

Digital Design. Chapter 1: Introduction Digitl Design Chpter : Introduction Slides to ccompny the textbook Digitl Design, with RTL Design, VHDL, nd Verilog, 2nd Edition, by, John Wiley nd Sons Publishers, 2. http://www.ddvhid.com Copyright 2

More information

Solutions to exercise 1 in ETS052 Computer Communication

Solutions to exercise 1 in ETS052 Computer Communication Solutions to exercise in TS52 Computer Communiction 23 Septemer, 23 If it occupies millisecond = 3 seconds, then second is occupied y 3 = 3 its = kps. kps If it occupies 2 microseconds = 2 6 seconds, then

More information

5 I. T cu2. T use in modem computing systems, it is desirable to. A Comparison of Half-Bridge Resonant Converter Topologies

5 I. T cu2. T use in modem computing systems, it is desirable to. A Comparison of Half-Bridge Resonant Converter Topologies 74 EEE TRANSACTONS ON POER ELECTRONCS, VOL. 3, NO. 2, APRL 988 A Comprison of Hlf-Bridge Resonnt Converter Topologies Abstrct-The hlf-bridge series-resonnt, prllel-resonnt, nd combintion series-prllel

More information

Development and application of a patent-based design around. process

Development and application of a patent-based design around. process Authors: Yeh-Ling Hsu, Po-Er Hsu, Yung-Chieh Hung, Y-Dn Xio (--4); recommended: Yeh-Ling Hsu (-6-9). Note: his pper is presented t the st Interntionl Conference on Systemtic Innovtion, Hsinchu, iwn, Jnury.

More information

On the Prediction of EPON Traffic Using Polynomial Fitting in Optical Network Units

On the Prediction of EPON Traffic Using Polynomial Fitting in Optical Network Units On the Prediction of EP Trffic Using Polynomil Fitting in Opticl Networ Units I. Mmounis (1),(3), K. Yinnopoulos (2), G. Ppdimitriou (4), E. Vrvrigos (1),(3) (1) Computer Technology Institute nd Press

More information

To provide data transmission in indoor

To provide data transmission in indoor Hittite Journl of Science nd Engineering, 2018, 5 (1) 25-29 ISSN NUMBER: 2148-4171 DOI: 10.17350/HJSE19030000074 A New Demodultor For Inverse Pulse Position Modultion Technique Mehmet Sönmez Osmniye Korkut

More information

April 9, 2000 DIS chapter 10 CHAPTER 3 : INTEGRATED PROCESSOR-LEVEL ARCHITECTURES FOR REAL-TIME DIGITAL SIGNAL PROCESSING

April 9, 2000 DIS chapter 10 CHAPTER 3 : INTEGRATED PROCESSOR-LEVEL ARCHITECTURES FOR REAL-TIME DIGITAL SIGNAL PROCESSING April 9, 2000 DIS chpter 0 CHAPTE 3 : INTEGATED POCESSO-LEVEL ACHITECTUES FO EAL-TIME DIGITAL SIGNAL POCESSING April 9, 2000 DIS chpter 3.. INTODUCTION The purpose of this chpter is twofold. Firstly, bsic

More information

BP-P2P: Belief Propagation-Based Trust and Reputation Management for P2P Networks

BP-P2P: Belief Propagation-Based Trust and Reputation Management for P2P Networks BP-PP: Belief Propgtion-Bsed Trust nd Reputtion Mngement for PP Networs Ermn Aydy School of Electricl nd Comp. Eng. Georgi Institute of Technology Atlnt, GA 333, USA Emil: eydy@gtech.edu Frmrz Feri School

More information

9.4. ; 65. A family of curves has polar equations. ; 66. The astronomer Giovanni Cassini ( ) studied the family of curves with polar equations

9.4. ; 65. A family of curves has polar equations. ; 66. The astronomer Giovanni Cassini ( ) studied the family of curves with polar equations 54 CHAPTER 9 PARAMETRIC EQUATINS AND PLAR CRDINATES 49. r, 5. r sin 3, 5 54 Find the points on the given curve where the tngent line is horizontl or verticl. 5. r 3 cos 5. r e 53. r cos 54. r sin 55. Show

More information

(CATALYST GROUP) B"sic Electric"l Engineering

(CATALYST GROUP) Bsic Electricl Engineering (CATALYST GROUP) B"sic Electric"l Engineering 1. Kirchhoff s current l"w st"tes th"t (") net current flow "t the junction is positive (b) Hebr"ic sum of the currents meeting "t the junction is zero (c)

More information

Lab 8. Speed Control of a D.C. motor. The Motor Drive

Lab 8. Speed Control of a D.C. motor. The Motor Drive Lb 8. Speed Control of D.C. motor The Motor Drive Motor Speed Control Project 1. Generte PWM wveform 2. Amplify the wveform to drive the motor 3. Mesure motor speed 4. Mesure motor prmeters 5. Control

More information

MEASURE THE CHARACTERISTIC CURVES RELEVANT TO AN NPN TRANSISTOR

MEASURE THE CHARACTERISTIC CURVES RELEVANT TO AN NPN TRANSISTOR Electricity Electronics Bipolr Trnsistors MEASURE THE HARATERISTI URVES RELEVANT TO AN NPN TRANSISTOR Mesure the input chrcteristic, i.e. the bse current IB s function of the bse emitter voltge UBE. Mesure

More information

Design And Implementation Of Luo Converter For Electric Vehicle Applications

Design And Implementation Of Luo Converter For Electric Vehicle Applications Design And Implementtion Of Luo Converter For Electric Vehicle Applictions A.Mnikndn #1, N.Vdivel #2 ME (Power Electronics nd Drives) Deprtment of Electricl nd Electronics Engineering Sri Shkthi Institute

More information

Design of FPGA-Based Rapid Prototype Spectral Subtraction for Hands-free Speech Applications

Design of FPGA-Based Rapid Prototype Spectral Subtraction for Hands-free Speech Applications Design of FPGA-Bsed Rpid Prototype Spectrl Subtrction for Hnds-free Speech Applictions Sryut Amornwongpeeti *, Nobutk Ono *, nd Mongkol Ekpnypong * Principles of Informtics Reserch Division, Ntionl Institute

More information

10.4 AREAS AND LENGTHS IN POLAR COORDINATES

10.4 AREAS AND LENGTHS IN POLAR COORDINATES 65 CHAPTER PARAMETRIC EQUATINS AND PLAR CRDINATES.4 AREAS AND LENGTHS IN PLAR CRDINATES In this section we develop the formul for the re of region whose oundry is given y polr eqution. We need to use the

More information

ISSCC 2006 / SESSION 21 / ADVANCED CLOCKING, LOGIC AND SIGNALING TECHNIQUES / 21.5

ISSCC 2006 / SESSION 21 / ADVANCED CLOCKING, LOGIC AND SIGNALING TECHNIQUES / 21.5 21.5 A 1.1GHz Chrge-Recovery Logic Visvesh Sthe, Jung-Ying Chueh, Mrios Ppefthymiou University of Michign, Ann Aror, MI Boost Logic is chrge-recovery circuit fmily cple of operting t GHz-clss frequencies

More information

Alternating-Current Circuits

Alternating-Current Circuits chpter 33 Alternting-Current Circuits 33.1 AC Sources 33.2 esistors in n AC Circuit 33.3 Inductors in n AC Circuit 33.4 Cpcitors in n AC Circuit 33.5 The LC Series Circuit 33.6 Power in n AC Circuit 33.7

More information

Multi-beam antennas in a broadband wireless access system

Multi-beam antennas in a broadband wireless access system Multi-em ntenns in rodnd wireless ccess system Ulrik Engström, Mrtin Johnsson, nders Derneryd nd jörn Johnnisson ntenn Reserch Center Ericsson Reserch Ericsson SE-4 84 Mölndl Sweden E-mil: ulrik.engstrom@ericsson.com,

More information

Using Compass 3 to Program the Senso Diva Page 1

Using Compass 3 to Program the Senso Diva Page 1 Pge 1 Selection of Senso Div Instrument Style SD-CIC Custom CIC Up to 50-60dB HL Hering Loss SD-XM Custom ITE or ITC with Loctor Up to 60-70dB HL Hering Loss SD-9M BTE with Loctor Up to 70-80dB HL Hering

More information

D I G I TA L C A M E R A S PA RT 4

D I G I TA L C A M E R A S PA RT 4 Digitl Cmer Technologies for Scientific Bio-Imging. Prt 4: Signl-to-Noise Rtio nd Imge Comprison of Cmers Yshvinder Shrwl, Solexis Advisors LLC, Austin, TX, USA B I O G R A P H Y Yshvinder Shrwl hs BS

More information

Temporal Secondary Access Opportunities for WLAN in Radar Bands

Temporal Secondary Access Opportunities for WLAN in Radar Bands The 4th Interntionl Symposium on Wireless Personl Multimedi Communictions WPMC'), Temporl Secondry Access Opportunities for WLAN in Rdr Bnds Miurel Tercero, Ki Won Sung, nd Jens Znder Wireless@KTH, Royl

More information

& Y Connected resistors, Light emitting diode.

& Y Connected resistors, Light emitting diode. & Y Connected resistors, Light emitting diode. Experiment # 02 Ojectives: To get some hndson experience with the physicl instruments. To investigte the equivlent resistors, nd Y connected resistors, nd

More information

BP-P2P: Belief Propagation-Based Trust and Reputation Management for P2P Networks

BP-P2P: Belief Propagation-Based Trust and Reputation Management for P2P Networks 1 9th Annul IEEE Communictions Society Conference on Sensor, Mesh nd Ad Hoc Communictions nd Networs (SECON) BP-PP: Belief Propgtion-Bsed Trust nd Reputtion Mngement for PP Networs Ermn Aydy School of

More information

CHARACTERISTICS OF THE GPS SIGNAL SCINTILLATIONS DURING IONOSPHERIC IRREGULARITIES AND THEIR EFFECTS OVER THE GPS SYSTEM

CHARACTERISTICS OF THE GPS SIGNAL SCINTILLATIONS DURING IONOSPHERIC IRREGULARITIES AND THEIR EFFECTS OVER THE GPS SYSTEM CHRCTERISTICS OF THE GPS SIGNL SCINTILLTIONS DURING IONOSPHERIC IRREGULRITIES ND THEIR EFFECTS OVER THE GPS SYSTEM Eurico R. de Paula, I.J.Kantor, L.F.C. de Rezende ERONOMY DIVISION NTIONL INSTITUTE FOR

More information

Section 2.2 PWM converter driven DC motor drives

Section 2.2 PWM converter driven DC motor drives Section 2.2 PWM converter driven DC motor drives 2.2.1 Introduction Controlled power supply for electric drives re obtined mostly by converting the mins AC supply. Power electronic converter circuits employing

More information

THE MODEL 682A05 BEARING FAULT DETECTOR (U.S. Patent No. 6,889,553) A New Approach for Predicting Catastrophic Machine Failure

THE MODEL 682A05 BEARING FAULT DETECTOR (U.S. Patent No. 6,889,553) A New Approach for Predicting Catastrophic Machine Failure TN4 THE MODEL 682A5 BEARING FAULT DETECTOR (U.S. Ptent No. 6,889,553) A New Approch for Predicting Ctstrophic Mchine Filure by Jmes Robinson Emerson Process Mngement Mitchell Illig IMI Sensors Thoms Brown

More information

Ultra Low Cost ACCELEROMETER

Ultra Low Cost ACCELEROMETER Chip Scle Pckged Fully Integrted Therml Accelerometer MXC622xXC Rev,A 8/19/2011 Pge 1 of 13 Fetures Generl Description Fully Integrted Therml Accelerometer X/Y Axis, 8 bit, Accelertion A/D Output (± 2g)

More information

Investigation of Ground Frequency Characteristics

Investigation of Ground Frequency Characteristics Journl of Electromgnetic Anlysis nd Applictions, 03, 5, 3-37 http://dx.doi.org/0.436/jem.03.58050 Published Online August 03 (http://www.scirp.org/journl/jem) Mohmed Nyel Electricl Engineering Deprtment,

More information

Address for Correspondence

Address for Correspondence Mrndn et l., Interntionl Journl of Advnced Engineering Technology E-ISSN 0976-3945 Reserch Pper A LATTICE REDUCTION-AIDED INFORMATION PRECODER FOR MULTIUSER COMMUNICATION SYSTEM S. Mrndn, N. Venteswrn

More information

University of North Carolina-Charlotte Department of Electrical and Computer Engineering ECGR 4143/5195 Electrical Machinery Fall 2009

University of North Carolina-Charlotte Department of Electrical and Computer Engineering ECGR 4143/5195 Electrical Machinery Fall 2009 Problem 1: Using DC Mchine University o North Crolin-Chrlotte Deprtment o Electricl nd Computer Engineering ECGR 4143/5195 Electricl Mchinery Fll 2009 Problem Set 4 Due: Thursdy October 8 Suggested Reding:

More information

Section 17.2: Line Integrals. 1 Objectives. 2 Assignments. 3 Maple Commands. 1. Compute line integrals in IR 2 and IR Read Section 17.

Section 17.2: Line Integrals. 1 Objectives. 2 Assignments. 3 Maple Commands. 1. Compute line integrals in IR 2 and IR Read Section 17. Section 7.: Line Integrls Objectives. ompute line integrls in IR nd IR 3. Assignments. Red Section 7.. Problems:,5,9,,3,7,,4 3. hllenge: 6,3,37 4. Red Section 7.3 3 Mple ommnds Mple cn ctully evlute line

More information

Ultra Low Cost ACCELEROMETER

Ultra Low Cost ACCELEROMETER Chip Scle Pckged Digitl Therml Orienttion Sensing Accelerometer MXC6226XC Document Version D Pge 1 of 13 Fetures Generl Description Fully Integrted Therml Accelerometer X/Y Axis, 8 bit, Accelertion A/D

More information

Direct AC Generation from Solar Cell Arrays

Direct AC Generation from Solar Cell Arrays Missouri University of Science nd Technology Scholrs' Mine UMR-MEC Conference 1975 Direct AC Genertion from Solr Cell Arrys Fernndo L. Alvrdo Follow this nd dditionl works t: http://scholrsmine.mst.edu/umr-mec

More information

CS 135: Computer Architecture I. Boolean Algebra. Basic Logic Gates

CS 135: Computer Architecture I. Boolean Algebra. Basic Logic Gates Bsic Logic Gtes : Computer Architecture I Boolen Algebr Instructor: Prof. Bhgi Nrhri Dept. of Computer Science Course URL: www.ses.gwu.edu/~bhgiweb/cs35/ Digitl Logic Circuits We sw how we cn build the

More information

MATH 118 PROBLEM SET 6

MATH 118 PROBLEM SET 6 MATH 118 PROBLEM SET 6 WASEEM LUTFI, GABRIEL MATSON, AND AMY PIRCHER Section 1 #16: Show tht if is qudrtic residue modulo m, nd b 1 (mod m, then b is lso qudrtic residue Then rove tht the roduct of the

More information

Domination and Independence on Square Chessboard

Domination and Independence on Square Chessboard Engineering nd Technology Journl Vol. 5, Prt, No. 1, 017 A.A. Omrn Deprtment of Mthemtics, College of Eduction for Pure Science, University of bylon, bylon, Irq pure.hmed.omrn@uobby lon.edu.iq Domintion

More information

Adaptive VoIP Smoothing of Pareto Traffic Based on Optimal E-Model Quality

Adaptive VoIP Smoothing of Pareto Traffic Based on Optimal E-Model Quality Adptive VoIP Smoothing of Preto Trffic Bsed on Optiml E-Model Qulity Shyh-Fng Hung 1, Eric Hsio-Kung Wu 2, nd Po-Chi Chng 3 1 Deprtment of Electricl Engineering, Ntionl Centrl University, Tiwn hsf@vplb.ee.ncu.edu.tw

More information

ABSTRACT. We further show that using pixel variance for flat field correction leads to errors in cameras with good factory calibration.

ABSTRACT. We further show that using pixel variance for flat field correction leads to errors in cameras with good factory calibration. Quntittive evlution of the ccurcy nd vrince of individul pixels in scientific CMOS (scmos) cmer for computtionl imging Shigeo Wtne*, Teruo Tkhshi, Keith Bennett Systems Division, Hmmtsu Photonics K.K.

More information