Performance assessment of a downlink two-layer spreading encoded COMP MIMO OFDM system
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1 International Journal of Wireless Communiations and Mobile Computing 214; 2: Published online February 2, 214 ( doi: /j.wm Performane assessment of a downlin two-layer spreading enoded COMP MIMO OFDM system Md. Mainul Islam Mamun 1, Joarder Jafor Sadique 2, *, Shaih Enayet Ullah 1 1 Dept. of Applied Physis and Eletroni Engineering, Rajshahi University, Rajshahi, Bangladesh 2 Dept. of Eletrial and Eletroni Engineering (EEE), University of Information Tehnology and Sienes (UITS), Dhaa, Bangladesh address: mainul_apee@yahoo.om (M. I. Mamun), joarderjafor@yahoo.om (J. J. Sadique), enayet67@yahoo.om (S. E. Ullah) To ite this artile: Md. Mainul Islam Mamun, Joarder Jafor Sadique, Shaih Enayet Ullah. Performane Assessment of a Downlin Two-Layer Spreading Enoded COMP MIMO OFDM System. International Journal of Wireless Communiations and Mobile Computing. Vol. 2, No. 1, 214, pp doi: /j.wm Abstrat: In this paper, a omprehensive performane simulative study has been made on data transmission in a downlin oordinated multipoint wireless ommuniation System. The COMP MIMO OFDM system under investigation implements Turbo and LDPC hannel oding, Spatially multiplexing and Spae-time blo oding (STBC), Doubly Spreading Minimum Mean Square Error (MMSE) and Zero Foring (ZF) signal detetion (Equalizers) shemes under 16PSK and 16QAM digital modulations based on the analysis it is remarable that the simulated system is highly effetive to ombat inherent interferenes under Rayleigh fading hannel and provides robust performane in 16QAM, MMSE hannel equalization and spatial multiplexing shemes. Keywords: Coordinated Multipoint (CoMP) Transmission, LDPC and Turbo Coding, Two-Layer Spreading, Signal Detetion Shemes, Bit Error Rate () 1. Introdution With development of physial layer tehniques, the data rates of mobile ommuniation servies have inreased by about 1 times every 6 7 years and it is predited that in 22, the required data rate will be as large as 1 1 times the urrently served data rate. The wireless transmission and networing tehnologies are the essential omponents of the mobile ommuniation systems. Due to the reent breathrough in transmission tehnologies with onsideration of onstraints of traditional ellular systems in terms of transmit power, ompliay in frequeny of handover in high speed mobile environment (35m/h) and ell edge effet for transmission frequenies higher than 2 GHz, ellular ommuniations have entered the era of ooperative ommuniations. In Cooperative ommuniation system, various types of ooperative shemes suh as relay, DAS, multiellular oordination, Group Cell, Coordinated Multiple Point transmission and reeption (CoMP) are used [1]. Cooperative ommuniations have reently been migrated to one of state-of-the-art features of the 3GPP LTE-Advaned (LTE-A) system. In LTE-Advaned system, single arrier frequeny division multiple aess (SC-FDMA) has been adopted in the uplin ommuniation and orthogonal frequeny division multiple aess (OFDMA) has been adopt in the downlin ommuniation. In suh system, base-station (BS) ooperative transmission under CoMP ooperative transmission sheme has been widely reognized as a promising tehnique to enhane throughput by avoiding interell interferene (ICI), partiularly for ell-edge users. In January 29, CoMP and Cooperative Relay based trial networs have been deployed in the ampus of Beijing University of Posts and Teleommuniation. [2, 3] Orthogonal Frequeny-Division Multiplexing (OFDM) has emerged as a suessful air-interfae tehnique. OFDM tehniques are also nown as Disrete Multi-Tone (DMT) transmissions and are employed in the Amerian National Standards Institute s (ANSI s) Asymmetri Digital Subsriber Line (ADSL), High-bit-rate Digital Subsriber Line (HDSL) and Very-high-speed Digital Subsriber Line (VDSL) standards as well as in the European Teleommuniation Standard Institute s (ETSI s) VDSL appliations. In wireless senarios, OFDM has been advoated by many European standards suh as Digital Audio Broadasting (DAB), Digital Video Broadasting for Terrestrial television (DVB-T), Digital Video Broadasting
2 12 Md. Mainul Islam Mamun et al.: Performane Assessment of a Downlin Two-Layer Spreading Enoded COMP MIMO OFDM System for Handheld terminals (DVB-H), Wireless Loal Area Networs (WLANs) and Broadband Radio Aess Networs (BRANs). MIMO OFDM is the ey tehnology for various ellular ommuniations suh as 3GPP-LTE, Mobile WiMAX and IMT-Advaned. The quality of a wireless lin viz. transmission rate, transmission range and transmission reliability an be improved using MIMO aided OFDM tehnology [4, 5]. In this present study, MIMO-aided OFDM radio interfae tehnology in CoMP transmission based wireless networ. In Figure 1, a senario of joint proessing (JP) CoMP transmission based MIMO wireless networ has been shown where it is seen that a single mobile user (user equipment, UE) is reeiving idential spatially demultiplexed omplex signals transmitted simultaneously from seven different geographially loated multi antenna supported maro base stations (enbs). new parity-he matrix [H new]. With reordered matrix elements, the matrix [A] beomes non-singular and it is further proessed to undergo LU deomposition. The redundant or parity bits sequene [p]has been onsidered to be obtained from the frame based input binary data sequene [u]=[u 1 u 2 u 3 u 4.u 512 ] T and three matries [P](of [H new ]),[L] and [U]using the following Matlab notation : p = mod(u\(l\z), 2);where, z = mod(p*u, 2); The LDPC enoded sized frame based binary data sequene [] is formulated from onatenation of parity he bit p and information bit u as: []=[p;u] The first 512 bits of the odeword matrix [] are the parity bits and the last 512 bits are the information bits. In Log Domain Sum-Produt LDPC deoding Algorithm, data retrieval is made with adaptation of an iterative approah. The binary data sequene is onverted into another data sequene x with its eah sampled value=+1(-1) when element of =. The reeived signal vetor r (=x+n) is ontaminated with the independent white Gaussian noise vetor n of variane, σ 2 Initially, four ey parametri values are set as follows: (i) A parametri matrix [ Li] of dimension is set as: 2 = 4r / (2) [ Li ] σ Figure 1. Downlin Coordinated Multiple-Point Transmission (CoMP) Senario for homogeneous maro networ. User unit (UE) in Cell 2 reeives data from seven multi antenna supported maro base stations (enbs.) 2. Signal Proessing Shemes In this paper, various signal proessing shemes have been implemented. A brief overview of suh shemes is given below in onise form LDPC Coding and Deoding An low-density parity-he (LDPC) ode invented by Gallager, is a (n,) linear blo ode of rate R= /n. It an be defined in terms of (n-) n parity-he matrix [H]=[ h 1, h 2, h 3.. h n ]. Eah entry h i j of matrix [H] is an element of finite field of GF(2) viz. or 1. The parity-he matrix ontains only a few 1 s in omparison to s (i.e., sparse matrix). In this present study, a ½.-rated irregular LDPC ode with ode length 124 has been used. Its parity-he matrix [H] has a dimension of and it is formed from a onatenation of two matries [A] and [P]([H]=[A] [P]), eah has a dimension of The olumns of the parity-he matrix [H]is rearranged/reordered to produe a In row wise iterative deoding, it is assumed that B is a sized matrix with its eah row ontaining all elements of matrix [LCi], the element wise produt of matrix B and modified parity-he matrix [H new] is given by: [LQIJ]= [H new ][B] with its element lq ij (i=1,2,3..512; j=1,2,3..124). If i (i=1,2,3.512) is the number of non zero element in matrix [H new ] at its different row i. The [SMIJ] is a matrix ontaining its elements obtained from row wise summation of all non zero elements in matrix [LQIJ]. For eah row wise non zero elements in matrix [LQIJ], a new value is omputed as: NWSM im =SMIJ i -LQIJ im ; i=1, 2,.512, m is the identifiation number(=1,2,.) viz, first, seond, third.. non zero element in eah row of matrix [LQIJ]. To avoid division by zero/very small value, its threshold value is set at 1 1^-2 whih implies that if the omputed value of NWSM im is found to be below this level, it would be threshold value. From values of NWSM im,another logarithm term is omputed as: LGSM im =log e [(exp (NWSM im +1))/(exp(NWSMim 1))] (3)
3 International Journal of Wireless Communiations and Mobile Computing 214; 2: IfALIJ im ontainsnon zero elements in eah row of matrix [α ij ], the previously onsidered matrix [LRJI] = 512X124 would be updated through replaing s at the desired loations with LRJI im =ALIJ im LGSM im (i=1,2,.512), m is the identifiation number (=1,2,.). For a matrix [SUMJI] with dimension with its eah element omputed from summation of all non-zero elements olumn wise in matrix [[LRJI], the updated matrix is [LQi]= [ Li ] + [ SUMJI] (4) If element of matrix [LQi] <, it indiates 1 and if the element of matrix [LQi] >, it indiates, the deoded bit sequene b ontains merely 124 binary bits(/1). Its first 512 bits are the parity and the rest 512 are the retrieved bits [6, 7] Turbo Coding and Deoding Turbo odes are formed by onatenating in parallel two reursive systemati onvolutional (RSC) odes separated by an interleaver. The onventional onvolutional ode is onstruted in a feed-forward fashion; that is, the enoder onsists of no feedba. In ontrast, its RSC equivalene involves feedba in the enoding proess. Apparently, the turbo ode is a systemati ode. Its oding rate is 1 3, that is, for every input bit, the Turbo enoder produes three ode bits. In maximum a posteriori (MAP) turbo deoding, the transmitted message bits an be retrieved iteratively through omputation of their log lielihood ratio (LLR). Let =, 1, 2, N 1 be a oded sequene produed by the rate 1/2 RSC enoder and r = r, r1, r2, r rn 1 be the noisy reeived (2) sequene where the ode word is = ( ) with the first bit being the message bit and the seond bit being the parity bit. The orresponding reeived word is- (2) ( r r ) r = (5) The oded bit /1 is onverted to a value +1/-1. The maximum a posteriori (MAP) deoding is arried out as: + 1, if P( = 1, if P( ( i =,1,2... N 1) = + 1 = + 1 r ) r ) P( < P( A posteriori log lielihood ratio (LLR) of by = 1 r ) = 1 r ) (6) is given (7) The MAP deoding rule in Equation (6) an be presented alternatively as: = ( r) sign L (8) The magnitude of LLR, L ( r) measures the lielihood of = +1 or (1 ) = 1. The LLR an be expressed as a funtion of the probability P ( = + 1 r) (1 ) ( ) L (1 ) P ( = + 1 r ) = ln (1 ) P ( = 1 r ) (1 ) ln P ( = + 1 r ) = 1 ( (1 ) P 1 r ) = Signal Detetion Shemes In Spatially multiplexed MIMO (SM-MIMO) wireless ommuniation system, the transmitted signal Xs, Reeived signal Y, hannel oeffiient matrix H and addititive white Gaussian noise term N an be written as the following signal model: (9) Y=HXs+N (1) With implementation of Signal Detetion/ hannel equalization tehniques, the transmitted signal is reovered/deteted using the following relation: Xs eted = WY det (11) Where, W is the assigned weight matrix for different hannel equalization shemes. In Minimum mean square error (MMSE) hannel equalization sheme, the MMSE weight matrix in terms of equivalent hannel matrix H and noise variane given by- W 2 σn H 2 1 H MMSE = (H H + σn I) H (12) In Zero-Foring (ZF) sheme, the ZF weight matrix is given by [5]- 3. System Model H 1 H WZF = ( H H) H (13) A simulated single user 2 x 2 spatially multiplexed and FEC enoded Two-Layer Spreading aided COMP MIMO OFDM wireless ommuniation system is depited in Figure 2. This is merely a omprehensive blo diagram where signal is transmitted from a single ell to a mobile user unit although the present study has taen into onsideration of downlin simultaneous data transmission from seven ells. However, in suh a ommuniation system, a single user is reeiving synthetially generated binary bit stream from the Base station. In transmitting setion, we onsider that a is
4 14 Md. Mainul Islam Mamun et al.: Performane Assessment of a Downlin Two-Layer Spreading Enoded COMP MIMO OFDM System binary data sequene D of length K are hannel enoded using 1 -rated Turbo oding / ½-rated LDPC. The hannel 3 enoded binary data D FEC is interleaved and mapped into digitally modulated symbols with its size L depending upon the order of modulation onsidered and opied. The number of digitally modulated symbols is inreased sixty four times in opying setion (as the proessing gain of the Walsh Hadamard odes is sixty four) and multiplied with Walsh Hadamard (W-H) spreading odes. The spreaded data symbol vetor X are spatially demultiplexed/spae time blo enoded with implementation of Alamouti sheme to produe two omplex data streams X 1, and X 2. The data of eah stream are rearranged into M(=32*L/(N )) number of blos. In eah blo, N number of modulated soure symbols, S m,q (n), n=,1,2,3.n -1 are proessed with serial to parallel onverter (S/P). The time domain signal OFDM signal using inverse Fast Fourier Transform (IFFT) an be written as N 1 j ( 2 π fnt ) m, q n = 1 x ( t ) = S ( n ) e m, q N t T s (14) where, m and q are the transmitting antenna and blo identifiers ; m=1,2 and q=1,2,3..m, T s (=N T d ) is the OFDM symbol duration, T d is the soure symbol duration and N is the total number of sub-arriers(=124). In eah of the two data stream, the omplex data symbols are again multiplied with Walsh Hadamard (W-H) spreading odes after OFDM modulation. However, in eah OFDM blo, eah sub-arrier is used for modulating eah soure symbol. The subarrier spaing is assigned to a value of 1/ T s and N sub-arrier frequenies are loated at f n =, T n s n =,1,2, N 1 (15) Figure 2. Blo diagram of a Downlin Two-Laver Spreading Enoded COMP MIMO OFOM wireless ommuniation system The sampled sequene of the omplex envelope m, (q t)of an OFDM symbol presented in Equation (14) with rate 1/ T d an be written as N 1 j2 nv/n q ( S ( ) e, N 1 π x m, v) = n m, q n = v =,1,2,3... N 1 xm (((t)t)t)(16) We assume that the OFDM symbol duration T s is large as ompared to the duration of the impulse response of the hannel τ max and ISI is redued signifiantly. In order to avoid ompletely the effets of ISI and to maintain the orthogonally between the signals on the sub-arriers for avoiding ICI, a guard interval of duration T g τ max is inserted between adjaent OFDM symbols. The guard interval is a yli extension of eah OFDM symbol, whih is obtained by extending the duration of an OFDM symbol to T s = T g + T s (17) The disrete length of the guard interval is-
5 International Journal of Wireless Communiations and Mobile Computing 214; 2: τ N max L g (18) Ts The sampled sequene with yli extended guard interval results in the following expression [9]. N 1 1 j2π nv / N x ( v ) = S ( n ) e m, q N m, q n = v = Lg..N 1 (19) Considering appliability of signal model presented in Equation (19) for all blos of signals transmitted from all antennas, we an write the transmitted signal vetor Xs in terms of its two signal vetor omponents Xs 1 and Xs 2 as: Xs Xs = 1 Xs 2 x ( v) x ( v)... x (v) x ( v) 1,1 1, 2 1, M -1 1, M = x ( v) x ( v)... x (v) x ( v) 2,1 2, 2 2, M -1 2, M (2) If H 1, H 2... H 7 are onsidered to be the 2 2 hannel matries for the base stations to the user unit and n 1,n 2...n 7 are the orresponding zero mean irularly symmetri omplex Gaussian noises, Equation (5) an be written under suh speial ase as Y= (H 1 + H 2 + H 3 +H 4 +H 5 + H 6 +H 7 )Xs + (n 1 + n 2 + n 3 +n 4 +n 5 + n 6 +n 7 ) (21) Equation (21) an be written as in terms of equivalent hannel matrix H and Equivalent noise N as signal model presented in Equation (1). With implementation of hannel equalization tehniques, the transmitted signals are reovered/deteted using signal models presented in Equation (11) through Equation (13) The deteted signals an be represented in matrix form as Xs = 1 x 1,1 ( v) x 1,2 ( v)... x 1, M -1 Xsdeteted = (v) Xs x ) x ) x 2 2,1 ( v 2,2 ( v... 2, M -1 (v) x 1, M ( v) x 2, M ( v) (22) In Equation (22), first L g samples of eah element of the two rows are indued with ISI and these L g samples are removed from eah ylially extended OFDM blo and Walsh Hadamard (W-H) spreading odes prior to multi-arrier demodulation with exploitation of Fast Fourier Transform (FFT). The FFT operated OFDM blos are undergone parallel to serial onversion and fed into spatial multiplexer/stbc deoder. Its output is multiplied with Walsh-Hadamard odes. The de-spreaded omplex symbols are deopied, demodulated, de-interleaved and turbo/ldpc deoded to reover the transmitted data [1,11] 4. Results and Disussion In this setion, we present a series of simulation results to illustrate the signifiant impat of system performane in terms of in Coordinated Multiple Point transmission and reeption. The simulation study has been made using MATLAB 212a based on the parameters given in Table 1. It is assumed that the hannel state information (CSI) is available at the reeiver and the fading proess is approximately onstant during whole transmission time from eah maro base station to user unit. The graphial illustrations presented in Figure 3 through Figure 6. Table 1. Summary of the Simulated Model Parameters No. of synthetially generated binary data used Communiation System Type No. of ells in a group 7 Channel Coding 8192 and 8188 Cooperative based on Coordinated Multiple Point transmission and reeption (CoMP) 1/3-rated Turbo and ½-rated LDPC Digital modulation 16QAM and 16PSK No. of subarriers (FFT Size) 248 CP length Deision method adopted in LDPC deoding Method used in Turbo deoding No of iterations onsidered in LDPC and Turbo deoding Antenna Configuration (User Equipment and Base station) Signal Detetion Sheme Channel 25 symbols Soft deision with log-lielihood ratios (LLR) omputation A-posteriori probability (APP) 1 (2,2) Signal to noise ratio (SNR) -5 to 5 db Minimum Mean square error(mmse) and Zero Foring (ZF), AWGN and Rayleigh fading In Figure 3, it is quite evident that the spatially multiplexed system is inapable of showing its performane aeptability under LDPC hannel oding, 16PSK digital modulation and ZF hannel equalization shemes. At a quite hostile environment (-3dB SNR) where noise power is greater that signal power by 3dB, the system shows a performane enhanement of 9.4 db in ase of MMSE reeiver as ompared to ZF reeiver with both 16PSK digital modulation. In Figure 3, it is also observable that at a typially target 1% (1-2 ), the MMSE linear equalizer and ZF linear equalizer with both 16QAM digital modulation require approximately 1.6 db and 2. db higher SNR respetively as ompared to MMSE linear equalizer with 16PSK. In Figure 4, the results are shown for representing STBC enoded system performane. With MMSE linear equalizer reeiver, it is notieable that the noise enhanement is signifiant and the COMP sheme is inapable of providing satisfatory performane with LDPC and 16PSK shemes. With ZF linear equalizer
6 16 Md. Mainul Islam Mamun et al.: Performane Assessment of a Downlin Two-Layer Spreading Enoded COMP MIMO OFDM System reeiver, the system performane is well defined and quite satisfatory. At a typially assumed SNR value of -3dB, the estimated values are.1377 and.282 in ase of ZF and MMSE linear equalizer reeiver with both 16PSK digital modulations whih is indiative of performane improvement by3.9 db. In Figure 5, Turbo enoded system performanes are well defined. At low SNR regime with 16QAM digital modulation, both MMSE and ZF linear equalizer reeiver shows almost idential system performane. At SNR value of -3dB, the simulated system is found to have performane improvement of 7.51dB in ase of MMSE linear equalizer reeiver with 16QAM as ompared to ZF linear equalizer reeiver with 16PSK. In Figure 5, it is also observable that at a typially target 1%(1-2 ), the MMSE and ZF linear equalizer with both 16PSK digital modulation require approximately.6 db and 2.9 db higher SNR respetively as ompared to MMSE linear equalizer with 16QAM. On ruial examination of the simulation results presented in Figure 3 through Figure 6, it is observable that the COMP aided simulated system shows omparatively better performane in Turbo hannel oding as ompared to LDPC. In Figure 6, the turbo enoded simulated system shows robust performane with MMSE linear equalizer reeiver and 16QAM and omparatively worst performane with ZF linear equalizer reeiver and 16PSK. At -3 db SNR value, the estimated values are.25 and.12 in ase of MMSE with 16QAM and ZF with 16PSK whih implies a system performane improvement of 6.11 db. In Figure 6, it is also remarable that at a typially target 1%, the ZF linear equalizer with 16QAM, MMSE linear equalizer with 16PSK and ZF linear equalizer with 16PSK digital modulation require approximately.5 db, 1.1 db and 1.4 db higher SNR respetively as ompared to MMSE linear equalizer with 16QAM x 2 Spatially multiplexed COMP MIMO OFDM with LDPC+ 16QAM +MMSE 2 x 2 Spatially multiplexed COMP MIMO OFDM with LDPC+ 16QAM +ZF 2 x 2 Spatially multiplexed COMP MIMO OFDM with LDPC+ 16PSK +MMSE 2 x 2 Spatially multiplexed COMP MIMO OFDM with LDPC+ 16PSK +ZF Figure 4. performane of the system under deployment of LDPC hannel oding, Spae-Time Blo Coding, various hannel equalization and digital modulation shemes x 2 STBC Enoded MIMO OFDM with LDPC+ 16QAM +MMSE 2 x 2 STBC Enoded MIMO OFDM with LDPC+ 16QAM +ZF 2 x 2 STBC Enoded MIMO OFDM with LDPC+ 16PSK +MMSE 2 x 2 STBC Enoded MIMO OFDM with LDPC+ 16PSK +ZF Figure 5. performane of the system under deployment of Turbo hannel oding, Spae-Time Blo oding, various hannel equalization and digital modulation shemes X 2 Spatially multiplexed COMP MIMO OFDM with Turbo+16QAM+MMSE 2 X 2 Spatially multiplexed COMP MIMO OFDM with Turbo+16QAM+ZF 2 X 2 Spatially multiplexed COMP MIMO OFDM with Turbo+16PSK+MMSE 2 X 2 Spatially multiplexed COMP MIMO OFDM withturbo +16PSK+ZF 2 x 2 STBC Enoded MIMO OFDM with Turbo+ 16QAM +MMSE 2 x 2 STBC Enoded MIMO OFDM with Turbo+ 16QAM +ZF 2 x 2 STBC Enoded MIMO OFDM with Turbo+ 16PSK +MMSE 2 x 2 STBC Enoded MIMO OFDM with Turbo+ 16PSK +ZF Figure 3. performane of the system under deployment of LDPC hannel oding, Spatial multiplexing various hannel equalization and digital modulation shemes Figure 6. performane of the system under deployment of Turbo hannel oding, Spatial multiplexing, various hannel equalization and digital modulation shemes.
7 International Journal of Wireless Communiations and Mobile Computing 214; 2: Conlusion In this paper, we have presented simulation results onerning the adaptation of various signals detetion and two-layer spreading shemes in a FEC enoded COMP MIMO OFDM wireless ommuniationn system. A range of system performane results under the regime of low SNR highlights the impat of Coordinated Multiple Point transmission and reeption sheme on data transmission. In the ontext of system performane, it an be onluded that the spatially multiplexed and Turbo enoded COMP MIMO OFDM wireless ommuniation system with Minimum Mean Square Error (MMSE) signal detetion and 16QAM digital modulation shemess provides robust system performane. Referenes [1] XiaofengTao,Qimei Cui XiaodongXu and Ping Zhang: Group Cell Arhiteture for Cooperative Communiations, Springer Publisher, New Yor, 212 [2] Xiaofeng Tao, XiaodongXu, and Qimei Cui: An Overview of Cooperative Communiations, IEEE Communiations Magazine, pp.65-71, 212 [3] Guillaume de la Rohe, Andr esalay on Glazunov and Ben Allen: LTE-advaned and next generation wireless networs hannel modelling and propagation, John Wiley and Sons Bibliography Md. Mainul Islam Mamun is woring as an Assistant Professor in the Department of Applied Physis and Eletroni Engineering, Faulty of Engineering, University of Rajshahi, Bangladesh. In year 29 to 21, he wored as a Leturer in the Department of Computer Siene and Teleommuniation Engineering, Noahali Siene and Tehnology University, Noahali, Bangladesh and engaged in teahing Advaned Teleommuniations and Computer Siene. In 28, He wored as a Leturer in the Department of Mehatronis Engineering, World University of Bangladesh, Dhaa, Bangladesh and taught Advaned Satellite Communiation, Communiation Engineering, Mehatronis Engineering (Basi and Applied) at undergraduate levels. His researh interest is oriented towards simulation study of Advaned Wireless Communiation Systems (MIMO-OFDM/OFDMA, LTE-Advaned and Cooperative Relaying). Ltd, United Kingdom, 213. [4] LajosHanzo, Yosef (Jos) Ahtman, Li Wang and Ming Jiang:: MIMO-OFDM for LTE, Wi-Fi and WiMAX, John Wiley and Sons Ltd, United Kingdom, 211. [5] Yong Soo Cho, Jaewon Kim, Won Young Yang, Chung G. Kang: MIMO-OFDM Wireless Communiations with MATLAB, John Wiley and Sons (Asia) Pte Limited, Singapore, 21. [6] Christian B. Shlegel and Lane C. Perez,: Trellis and turbo oding, John Wiley and Sons, In., publiation, Canada, 24. [7] BagawanSewuNugroho, [8] Yuan Jiang: A Pratial Guide to Error-Control Coding Using MATLAB, Jiang Arteh House, Boston, USA, 21. [9] K. Fazel and S. Kaiser: Multi-Carrier and Spread Spetrum Systems From OFDM and MC-CDMA to LTE and WiMAX, John Wiley and Sons, Publiation Ltd, United Kingdom, 28. [1] Goldsmith, Andrea: Wireless Communiations, First Edition, Cambridge University Press, United Kingdom, 25. [11] L. J. Cimini, Jr: Analysis and simulation of a digital mobile hannel using orthogonal frequeny division multiplexing, IEEE Transation on Communiation, vol. COM-33, pp , Joarderr Jafor Sadique reeived his B.S. (Hons.) and M.S. degree both in Applied Physis and Eletroni Engineering department from University of Rajshahi, Bangladesh in 21 and 211 respetively. During his post graduate study, he has ompleted a researh wor on MIMO SC-FDMA Wireless Communiation System. His researh interest inludes Channel Equalization, Radio Interfaee tehnologies (OFDMA and SC-FDMA) and Antenna Diversity. Conurrently, he is woring as a Leturer in the Department of Eletrial and Eletroni Engineering (EEE), University of Information Tehnology and Sienes (UITS), Dhaa, Bangladesh. Shaih Enayet Ullah is woring as Professor and Chairman of the Department of Applied Physis and Eletroni Engineering, Faulty of Engineering, University of Rajshahi, Bangladesh. He also wored as a Professor and Chairman (on deputation) in the Department of Information and Communiation Engineering, University of Rajshahi. He is woring as a member of both Editorial and Reviewer Board of various International Journals. He has published more than 7 papers in multidisiplinary fields. His main researh interests inlude Cooperative Communiations, MIMO-OFDM, WiMAX and LTE-Advaned and Potential Field geophysial data inversion.
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