Pulse amplitude modula.on Baseband to passband and back

Size: px
Start display at page:

Download "Pulse amplitude modula.on Baseband to passband and back"

Transcription

1 Pulse ampliude modula.on Baseband o and back message inpu ) Today s opics concern wih he modulaor and demodulaor ransminer acharapan Suwansan.suk Sampler Quan.zer Source Channel Modulaor analog sequence symbol sequence inerface Channel #7 EIE 7 Digial Communica.ons King Mongku s Universiy of Technology Thonburi Chaper : Channels, modula.on, and demodula.on Inerpolaor message oupu ) Table lookup Source Channel receiver Demodulaor Topics Pulse ampliude modula.on PAM;.) Modula.on: o and back.) AXer his lecure, you will be able o Conver a sequence of bis ino a, and vice versa, using he pulse ampliude modula.on Iden.fy pulses ha are bandlimied and do no creae he inersymbol inerference i.e., he shix-orhonormal pulses) Describe a mehod o conver a o a, and vice versa Plo he and s in.me- and frequency-domains for he noiseless channel

2 Recall ha a modulaor urns a sequence of bis ino a analog) Also recall ha a demodulaor urns a ino a sequence of bis value value... Modulaor value... Demodulaor value 5 7 ime sec) 5 7 ime sec).me sec).me sec) 5 This lecure ignores emporarily he effec of noise ha comes from he channel In our design, he modulaor and demodulaor are divided ino blocks inpu Modulaor x) inpu modulaor Modulaor o oupu Demodulaor sequence of real numbers channel The modulaor is conneced direcly o he demodulaor as if he channel were noiseless In nex lecure, we sudy random processes and add back he noise oupu demodulaor o Demodulaor Each pair of he opposing block performs a reversed role 7

3 Modulaor Overview: PAM works as follows inpu oupu sequence of real numbers modulaor demodulaor o o channel Amplifies he ) b,b,b,... inpu u k = Builds a vecor sum) u,u,u,... modulaor a, if b k = a, if b k = u) = X u k p k= kt) Demodulaor OVERVIE AND BASEBAND MODULATION Reads coefficiens on axes) Projecs a vecor ono each axis) c,c,c,... v,v,v,... demodulaor v) oupu c k =, if v k, if v k < Z v k = v)p kt)d 9 Baseband modula.on and demodula.on involve hree design parameers. Symbol inerval T>. ShiX-orhonormal pulse. Amplifica.on facor a> p) For simpliciy of drawing, we will use he square wave o demonsrae he concep of modula.on and demodula.on p) PAM uses he ampliude of a pulse o convey bi or Bi maps o ap) Bi maps o ap) a ap) ap) a ap)

4 To covey many bis, shix he scaled pulses by mul.ples of T and add hem ap) The u) can be inerpreed as a vecor sum a ) ap T ) a ) a ap T ) u) =ap) ap T ) a T ) u) =a ) a ) Binary inpu a u = a a Binary inpu Here is a for he inpu a u) Example a: Use he square roo raised cosine filer o modulae he inpu Suppose he uni of.me is second Suppose T =sec, he rolloff facor is =., and a = Plo u) for he inpu is 5 Answer: u) =ap) ap T ) ap T ) =p) p ) p ) a where p) is he square roo raised cosine filer wih =. Binary inpu 5

5 Solu.on: plo of. u) con.nued) Solu.on: Malab code u) Baseband u) ime sec) clear all; % clear variables! T = ; % symbol inerval! alp =.; % rolloff facor! a = ; % amplificaion! = -:.:5; % range of ime o plo!! %, modulaed of bis! u = a*src,t,alp) - a*src-t,t,alp) - a*src-*t,t,alp);!! % plo! figure);! clf; % clear figure! plo, u, 'Linewidh', );! grid on;! xlabel'ime sec)');! ylabel'u)');! ile'baseband u)');! 7 Fourier ransform ûf) of he is easy o obain u,u,u,...,u N modulaor In his elemenary course, we will only have a finie number of symbols, says u,u,u,...,u N, o ransmi Then, he is a finie sum: u) = NX u k p k= And he Fourier ransform is kt) u) = NX u k p k= kt) " N # X ûf) = u k e ifkt ˆpf) k= con.nued) From he Fourier ransform, we ge ûf) = In oher words, bandwidh of NX u k e ifkt ˆpf) k= ûf) = bandwidh of ˆpf) For a square roo of raised cosine filer, his will be + T 9

6 To derive he expression of ûf), apply hese proper.es of he Fourier ransform All func.ons in hese proper.es are ransform may no even exis) Oherwise, he Fourier. Lineariy: Suppose func.on x) is a linear combina.on of func.ons g) and h), i.e., x) =ag)+bh) where a and b are complex numbers. Then, he Fourier ransform ˆxf) is a linear combina.on of he Fourier ransforms and, i.e., ĝf) ˆxf) =aĝf)+bĥf) L ĥf) con.nued). Time shif: Suppose func.on x) is a #me shi) of func.on g), i.e., where x) =g ) is a real number eiher nega.ve, zero, or posi.ve). Then, he Fourier ransform Fourier ransform ĝf), i.e., ˆxf) ˆxf) =ĝf)e if Example: The Fourier ransform of ˆxf) =ˆpf)e ift is a phase shi) of he x) =p T ) is Ex b: Plo he magniude and phase of he Fourier ransform. ûf) Solu.on: plos of ûf) and. Magniude uhaf) of he Fourier ransform uhaf) \ûf) Recall from example a ha he is u) =ap) ap T ) ap T ) In his example, a= and T = Magniude Answer: ûf) =aˆpf) aˆpf)e ift aˆpf)e ift ) h = a e ift e ift iˆpf) angle radian) Angle of he Fourier ransform uhaf)

7 Solu.on: Malab code clear all; % clear variables! T = ; % symbol inerval! alp =.; % rolloff facor! a = ; % amplificaion! = +alp)/*t); % bandwidh! f = -.5:.:.5; % range of frequency o plo! uha = a*f_srcf,t,alp)...!!!.* - exp-*pi*i*f*t) - exp-*pi*i*f*t) );! % plo magniude of uha! subplo,,);! plo f, absuha), 'Linewidh', );! xlabel'');! ylabel'magniude');! ile['magniude uhaf) of he ',...!!! 'Fourier ransform uhaf) ]);! se gca, 'xick', [ ] ); % mark he x-axis! grid on;! con.nued) % plo phase of uha! subplo,,);! plo f, angleuha), 'Linewidh', );! xlabel'');! ylabel'angle radian)');! ile'angle of he Fourier ransform uhaf)');! se gca, 'xick', [ ] ); % mark he x-axis! grid on;! 5 Example c: ha is he bandwidh of u)? Solu.on: The bandwidh of u) equals he bandwidh of he pulse he square roo raised cosine filer): = + T = +. =.5 Hz The answer is consisen wih he drawing of ûf) inpu oupu sequence of real numbers modulaor demodulaor Modulaor o o Demodulaor BASEBAND DEMODULATION channel 7

8 Le s move on o he demodula.on Amplifies he ) Builds a vecor sum) X b,b,b,... u,u,u,... u) = u k p k= inpu modulaor a, if b k = u k = a, if b k = kt) Example : Demodula.on using he square wave v) noiseless inpu o he demodulaor Reads coefficiens on axes) Projecs a vecor ono each axis) c,c,c,... v,v,v,... demodulaor v) oupu c k =, if v k, if v k < Z v k = v)p kt)d PAM parameers:, square wave p) =s), T = Ques.on: ha is he oupu? Answer: The oupu is a = 9 con ) Solu.on: he firs bi is v) con ) Solu.on: he second bi is v) ) ) v) ) Z v) )d = Guess ha bi was sen - v) ) Z v) )d = < Guess ha bi was sen

9 d d con ) Geomerically in a vecor space, we projec vecor v ono each axis s axis Example 5: Demodula.on using square roo raised cosine pulse inpu a a u) = ap)+ap T ) modulaor h axis oupu v v demodulaor The coefficiens from he projec.on and ) are ranslaed ino bis and ) v Suppose T =, A =, and he pulse is he square roo of raised cosine filer wih =. The inpu is Verify in Malab ha he demodulaor gives Approxima.ons because Malab compues he inegrals numerically v a, v a Solu.on: Plo of s needed o compue. v = R u)p)d Solu.on: Plo of s needed o compue. v = R u)p T )d ) =p) u) u) ) =p T ) u)p T ) v is he area under his graph u)p) v is he area under his graph 5

10 Answer: Yes, he approxima.ons hold clear all;! T = ; % sampling inerval! a = ; % amplificaion! alp =.; % rolloff facor! = linspace-*t, 5*T ); % range of imes: -T o 5T!! % inpu =! %! u = -a*src, T,. ) + a*src -T, T, alp); Z 5T! Numerically inegrae u)p)d T % demodulaion:! v = rapz, u.* src, T, alp) ) % oupu: v = -.997! v = rapz, u.* src-t, T, alp) ) % oupu: v =.997! inpu oupu sequence of real numbers modulaor demodulaor Modulaor o o Demodulaor BASEBAND TO PASSBAND channel Trapezoidal numerical inegra.on Numerically inegrae Z 5T T u)p T )d 7 Passband conversion needs a bandlimied and a large enough carrier freq This propery of Fourier ransform is cenral o modula.on All func.ons in his propery are L Symbol Meaning AssumpIon for o- conversion Bandwidh of u) Also equals he bandwidh of he shix-orhonormal pulse p) Carrier frequency < The pulse is bandlimied) ModulaIon propery: if frequency, hen g) =h) cos f ) f ĝf) = ĥf + f )+ ĥf f ), for any consan Inerprea#on: if we mul.ple a func.on by a cosine erm of frequency f, hen is Fourier ransform shix o he lex and o he righ by f 9

11 To cover a o a one, mul.ply by. cos ) ˆxf) consiss of wo hills cenered a. ûf) ± b,b,b,... u,u,u,... inpu modulaor u) o x) \ûf) frequency f The is x) =u) cos ) carrier frequency frequency f In he frequency-domain, ˆxf) =ûf + )+ûf ) For example, suppose he magniude and phase for he are above con ). ˆxf) =ûf + ) + ûf fc) The bandwidh is wice he bandwidh ˆxf) Baseband: ûf) bandwidh + + frequency f \ˆxf) frequency f Passband: ˆxf) bandwidh + + frequency f ˆxf) is a sum of wo iden.cal copies of ûf), lex- and righshixed by he amoun frequency f

12 u) Baseband u) ime sec) Magniude uhaf) of he Fourier ransform uhaf) Angle of he Fourier ransform uhaf) Example a: o Solu.on: Time-domain plo. u) Passband x) x) =? angle radian) Magniude ûf) \ûf) o ˆxf) =? x) Suppose u) is he in example, and he carrier frequency is = Plo he in.me domain frequency domain ˆxf) x) and in ime sec) 5 con ) frequency-domain plo Magniude Magniude xhaf) of he Fourier ransform xhaf) Example b: Bandwidh of he Ques.on: ha is he bandwidh of x)? Answer: Twice bandwidh of he : angle radian) Angle of he Fourier ransform xhaf) =.5 Hz.5 Hz from example b)

13 inpu sequence of real numbers modulaor Modulaor o channel To cover from o, mul.ply by cos ) and low-pass filer c,c,c,... oupu v,v,v,... demodulaor v) o y) oupu demodulaor o Demodulaor PASSBAND TO BASEBAND The is In he frequency-domain, v) =g h LP )) g) =y) cos ) convolu.on = bandwidh of he pulse h LP ) = sinc ) Ideal low-pass filer of bandwidh ) ˆvf) = ŷf )+ ŷf + ), f apple, oherwise 9 5 The y) is frequency-shixed and low-pass filered In frequency domain, he a each sage is below v) ideal low-pass filer: impulse response. h LP ) g) y) ĝf) = ŷf + )+ ŷf ) ŷf) Magniude ghaf) of he Fourier ransform ghaf) Magniude yhaf) of he Fourier ransform yhaf) v) Baseband before LPF g) g) cos ) Passband x) y) Magniude.5.5 Magniude Angle of he Fourier ransform ghaf) Angle of he Fourier ransform yhaf) angle radian) angle radian) ime sec) ime sec)

14 con.nued) ĥ LP f) Ideal low-pass filer Here is a summary of PAM Amplifies he ) Builds a vecor sum) ShiX he cener frequency from o ) angle radian) Magniude ˆvf) Magniude vhaf) of he Fourier ransform vhaf).5.5 Angle of he Fourier ransform vhaf).5.5 angle radian) Magniude ĝf) Magniude ghaf) of he Fourier ransform ghaf).5.5 Angle of he Fourier ransform ghaf).5.5 b,b,b,... u,u,u,... inpu u k = a, if b k = a, if b k = Reads coefficiens on axes) Projecs a vecor ono each axis) c,c,c,... v,v,v,... oupu c k =, if v k, if v k < modulaor u) = demodulaor o X u k p kt) k= v) x) =u) cos ) o Channel ShiX he cener frequency from o ) y) 5 5 For he noiseless channel, PAM achieve reliabiliy and frequency consrains inpu b,b,b,... u,u,u,... = modulaor u) o x) = = = Laer we sudy channel and learn ha indeed v) is a noisy version of u). u) v) oupu c,c,c,... demodulaor v,v,v,... v) o The inpu a each sage = he corresponding oupu y) The mehods for PAM mod. and demod. are unchanged ih noise, he oupu may no equal he inpu 55 5

15 Here are acronym and symbols Acro/Symbol Meaning PAM pulse ampliude modula.on T symbol inerval, T> sec) p) shix-orhogonal pulse,,,... orhonormal func.ons basis elemens): k) =p kt) bandwidh of p), i.e., < < Hz) A u) amplifica.on facor of PAM, A> a he modulaor v) a he demodulaor Here are Fourier-ransform proper.es Lineariy: Time shix: Modula.on: x) =ag)+bh) $ ˆxf) =aĝf)+bĥf) x) =g ) $ ˆxf) =ĝf)e if g) =h) cos f ) $ ĝf) = ĥf + f )+ ĥf f ) h LP ) carrier frequency, Hz) ideal low-pass filer of bandwidh : h LP ) = sinc ) and ĥ LP f) =, f apple, oherwise 57 5 Srucure of he PAM / Summary modulaor / demodulaor -> / -> Mehods of he PAM Amplifica.on facor Baseband modula.on forming a sum of vecors) Bandwidh of he Baseband demodula.on projec.on) Baseband o Passband o Examples plos, Malab) in.me- and frequency-domains 59

Quadrature amplitude modula.on

Quadrature amplitude modula.on Quadrature amplitude modula.on message ( waveform) Today s topics concern with the and de transminer Watcharapan Suwansan.suk Sampler Quan.zer Source Modulator analog sequence symbol sequence interface

More information

Modulation exercises. Chapter 3

Modulation exercises. Chapter 3 Chaper 3 Modulaion exercises Each problem is annoaed wih he leer E, T, C which sands for exercise, requires some hough, requires some concepualizaion. Problems labeled E are usually mechanical, hose labeled

More information

EECE 301 Signals & Systems Prof. Mark Fowler

EECE 301 Signals & Systems Prof. Mark Fowler EECE 3 Signals & Sysems Prof. Mark Fowler Noe Se #8 C-T Sysems: Frequency-Domain Analysis of Sysems Reading Assignmen: Secion 5.2 of Kamen and Heck /2 Course Flow Diagram The arrows here show concepual

More information

Chapter 2 Introduction: From Phase-Locked Loop to Costas Loop

Chapter 2 Introduction: From Phase-Locked Loop to Costas Loop Chaper 2 Inroducion: From Phase-Locked Loop o Cosas Loop The Cosas loop can be considered an exended version of he phase-locked loop (PLL). The PLL has been invened in 932 by French engineer Henri de Belleszice

More information

UNIT IV DIGITAL MODULATION SCHEME

UNIT IV DIGITAL MODULATION SCHEME UNI IV DIGIAL MODULAION SCHEME Geomeric Represenaion of Signals Ojecive: o represen any se of M energy signals {s i (} as linear cominaions of N orhogonal asis funcions, where N M Real value energy signals

More information

Passband Data Transmission I References Phase-shift keying Chapter , S. Haykin, Communication Systems, Wiley. G.1

Passband Data Transmission I References Phase-shift keying Chapter , S. Haykin, Communication Systems, Wiley. G.1 Passand Daa ransmission I References Phase-shif keying Chaper 4.-4.3, S. Haykin, Communicaion Sysems, Wiley. G. Inroducion Inroducion In aseand pulse ransmission, a daa sream represened in he form of a

More information

Communications II Lecture 7: Performance of digital modulation

Communications II Lecture 7: Performance of digital modulation Communicaions II Lecure 7: Performance of digial modulaion Professor Kin K. Leung EEE and Compuing Deparmens Imperial College London Copyrigh reserved Ouline Digial modulaion and demodulaion Error probabiliy

More information

Communication Systems. Communication Systems

Communication Systems. Communication Systems Communicaion Sysems Analog communicaion Transmi and receive analog waveforms Ampliude Modulaion (AM Phase Modulaion (PM Freq. Modulaion (FM Quadraure Ampliude Modulaion (QAM Pulse Ampliude Modulaion (PAM

More information

x(at) 1 x(t) h(t) H( jω )X( jω ) x(t)p(t) 1 X( jω ) P( jω) x(t t d ) e jωt d x(t)e jω 0t X( j(ω ω 0 )) LECTURE OBJECTIVES Signal Processing First

x(at) 1 x(t) h(t) H( jω )X( jω ) x(t)p(t) 1 X( jω ) P( jω) x(t t d ) e jωt d x(t)e jω 0t X( j(ω ω 0 )) LECTURE OBJECTIVES Signal Processing First Signal Proessing Firs Leure 4 Ampliude Modulaion AM LECURE OBJECIVES Review of F properies Convoluion mulipliaion Frequen shifing Sinewave Ampliude Modulaion AM radio Frequen-division mulipleing FDM

More information

MATLAB/SIMULINK TECHNOLOGY OF THE SYGNAL MODULATION

MATLAB/SIMULINK TECHNOLOGY OF THE SYGNAL MODULATION J Modern Technology & Engineering Vol2, No1, 217, pp76-81 MATLAB/SIMULINK TECHNOLOGY OF THE SYGNAL MODULATION GA Rusamov 1*, RJ Gasimov 1, VG Farhadov 1 1 Azerbaijan Technical Universiy, Baku, Azerbaijan

More information

Introduction: Analog Communication: Goal: Transmit a message from one location to another.

Introduction: Analog Communication: Goal: Transmit a message from one location to another. ECE-5 Phil Schnier January 6, 8 Inroducion: Goal: Transmi a rom one locaion o anoher When is coninuous waveorm analog comm (eg, FM radio), sequence o numbers digial comm (eg, mp ile), hough he sequence

More information

Test 1 Review. Test 1 Review. Communication Systems: Foundational Theories. Communication System. Reference: Sections and

Test 1 Review. Test 1 Review. Communication Systems: Foundational Theories. Communication System. Reference: Sections and Tes 1 Review Tes 1 Review Proessor Deepa Kundur Universiy o Torono Reerence: Secions 2.2-2.7 and 3.1-3.6 o S. Haykin and M. Moher, Inroducion o Analog & Digial Communicaions, 2nd ed., John iley & Sons,

More information

Principles of Communications

Principles of Communications Sae Key Lab. on ISN, Xidian Universiy Principles of Communicaions Chaper VI: Elemenary Digial Modulaion Sysem Email: ychwang@mail.xidian.edu.cn Xidian Universiy Sae Key Lab. on ISN December 13, 2013 Sae

More information

ECE ANALOG COMMUNICATIONS - INVESTIGATION 7 INTRODUCTION TO AMPLITUDE MODULATION - PART II

ECE ANALOG COMMUNICATIONS - INVESTIGATION 7 INTRODUCTION TO AMPLITUDE MODULATION - PART II ECE 405 - ANALOG COMMUNICATIONS - INVESTIGATION 7 INTRODUCTION TO AMPLITUDE MODULATION - PART II FALL 2005 A.P. FELZER To do "well" on his invesigaion you mus no only ge he righ answers bu mus also do

More information

Signal Characteristics

Signal Characteristics Signal Characerisics Analog Signals Analog signals are always coninuous (here are no ime gaps). The signal is of infinie resoluion. Discree Time Signals SignalCharacerisics.docx 8/28/08 10:41 AM Page 1

More information

ELEG 3124 SYSTEMS AND SIGNALS Ch. 1 Continuous-Time Signals

ELEG 3124 SYSTEMS AND SIGNALS Ch. 1 Continuous-Time Signals Deparmen of Elecrical Engineering Universiy of Arkansas ELEG 3124 SYSTEMS AND SIGNALS Ch. 1 Coninuous-Time Signals Dr. Jingxian Wu wuj@uark.edu OUTLINE 2 Inroducion: wha are signals and sysems? Signals

More information

Chapter 4: Angle Modulation

Chapter 4: Angle Modulation Tes 2 Review Tes 2 Review Professor Deepa Kundur Universiy of Torono Reference: Secions: 4.1, 4.2, 4.3, 4.4, 4.6, 4.7, 4.8 of 5.1, 5.2, 5.3, 5.4, 5.5 6.1, 6.2, 6.3, 6.4, 6.5, 6.6 S. Haykin and M. Moher,

More information

Chapter 4: Angle Modulation

Chapter 4: Angle Modulation Tes 2 Review Tes 2 Review Professor Deepa Kundur Universiy of Torono Reference: Secions: 4.1, 4.2, 4.3, 4.4, 4.6, 4.7, 4.8 of 5.1, 5.2, 5.3, 5.4, 5.5 6.1, 6.2, 6.3, 6.4, 6.5, 6.6 S. Haykin and M. Moher,

More information

Analog/Digital Communications Primer

Analog/Digital Communications Primer for Amaeur Radio Virginia Polyechnic Insiue & Sae Universiy March 19, 2013 # include //... in main() { floa kf = 0.1f; // modulaion facor liquid_freqdem_ype ype = LIQUID_FREQDEM_DELAYCONJ;

More information

Wrap Up. Fourier Transform Sampling, Modulation, Filtering Noise and the Digital Abstraction Binary signaling model and Shannon Capacity

Wrap Up. Fourier Transform Sampling, Modulation, Filtering Noise and the Digital Abstraction Binary signaling model and Shannon Capacity Wrap Up Fourier ransorm Sampling, Modulaion, Filering Noise and he Digial Absracion Binary signaling model and Shannon Capaciy Copyrigh 27 by M.H. Perro All righs reserved. M.H. Perro 27 Wrap Up, Slide

More information

Lecture 4. EITN Chapter 12, 13 Modulation and diversity. Antenna noise is usually given as a noise temperature!

Lecture 4. EITN Chapter 12, 13 Modulation and diversity. Antenna noise is usually given as a noise temperature! Lecure 4 EITN75 2018 Chaper 12, 13 Modulaion and diversiy Receiver noise: repeiion Anenna noise is usually given as a noise emperaure! Noise facors or noise figures of differen sysem componens are deermined

More information

EXPERIMENT #4 AM MODULATOR AND POWER AMPLIFIER

EXPERIMENT #4 AM MODULATOR AND POWER AMPLIFIER EXPERIMENT #4 AM MODULATOR AND POWER AMPLIFIER INTRODUCTION: Being able o ransmi a radio frequency carrier across space is of no use unless we can place informaion or inelligence upon i. This las ransmier

More information

Lecture 11. Digital Transmission Fundamentals

Lecture 11. Digital Transmission Fundamentals CS4/MSc Compuer Neworking Lecure 11 Digial Transmission Fundamenals Compuer Neworking, Copyrigh Universiy of Edinburgh 2005 Digial Transmission Fundamenals Neworks consruced ou of Links or ransmission

More information

Solution of ECE 342 Test 2 S12

Solution of ECE 342 Test 2 S12 Soluion of ECE 342 Tes 2 S2. All quesions regarding superheerodyne receivers refer o his diagram. x c () Anenna B T < B RF < 2 f B = B T Oher Signals f c Mixer f Baseband x RFi RF () x RFo () () () x i

More information

Chapter 2 Summary: Continuous-Wave Modulation. Belkacem Derras

Chapter 2 Summary: Continuous-Wave Modulation. Belkacem Derras ECEN 44 Communicaion Theory Chaper Summary: Coninuous-Wave Modulaion.1 Modulaion Modulaion is a process in which a parameer of a carrier waveform is varied in accordance wih a given message (baseband)

More information

Revision: June 11, E Main Suite D Pullman, WA (509) Voice and Fax

Revision: June 11, E Main Suite D Pullman, WA (509) Voice and Fax 2.5.3: Sinusoidal Signals and Complex Exponenials Revision: June 11, 2010 215 E Main Suie D Pullman, W 99163 (509) 334 6306 Voice and Fax Overview Sinusoidal signals and complex exponenials are exremely

More information

FROM ANALOG TO DIGITAL

FROM ANALOG TO DIGITAL FROM ANALOG TO DIGITAL OBJECTIVES The objecives of his lecure are o: Inroduce sampling, he Nyquis Limi (Shannon s Sampling Theorem) and represenaion of signals in he frequency domain Inroduce basic conceps

More information

Example Message bandwidth and the transmitted signal bandwidth

Example Message bandwidth and the transmitted signal bandwidth 4.6 Bandwidh-Eiien Modulaions 4.74. We are now going o deine a quaniy alled he bandwidh o a signal. Unorunaely, in praie, here isn jus one deiniion o bandwidh. Deiniion 4.75. The bandwidh (BW) o a signal

More information

READING ASSIGNMENTS LECTURE OBJECTIVES. Problem Solving Skills. x(t) = cos(αt 2 ) ELEG-212 Signal Processing and Communications

READING ASSIGNMENTS LECTURE OBJECTIVES. Problem Solving Skills. x(t) = cos(αt 2 ) ELEG-212 Signal Processing and Communications ELEG- Signal Processing and Communicaions Lecure 5 Periodic Signals, Harmonics & ime-varying Sinusoids READING ASSIGNMENS his Lecure: Chaper 3, Secions 3- and 3-3 Chaper 3, Secions 3-7 and 3-8 Lab sars

More information

dm t t A cos 2 10 t 10

dm t t A cos 2 10 t 10 T.C. OKAN ÜNİVERSİTESİ Fauly o Engineering and Arhieure Elerial and Eleroni Engineering Program EEE 3 Analog Communiaions Fall 23 In Class Work Par 4 Soluions:. Skeh he FM and PM modulaed waveorms or he

More information

Optical Short Pulse Generation and Measurement Based on Fiber Polarization Effects

Optical Short Pulse Generation and Measurement Based on Fiber Polarization Effects Opical Shor Pulse Generaion and Measuremen Based on Fiber Polarizaion Effecs Changyuan Yu Deparmen of Elecrical & Compuer Engineering, Naional Universiy of Singapore, Singapore, 117576 A*STAR Insiue for

More information

Laboratory #2. Spectral Analysis of Digital Baseband Signals. SYSC 4600 Digital Communications

Laboratory #2. Spectral Analysis of Digital Baseband Signals. SYSC 4600 Digital Communications Laboraory #2 Speral Analysis of Digial Baseband Signals SYSC 4600 Digial Communiaions Deparmen of Sysems and Compuer Engineering Fauly of Engineering Carleon Universiy Oober 206 Deparmen of Sysems & Compuer

More information

Digital Communications - Overview

Digital Communications - Overview EE573 : Advanced Digial Communicaions Digial Communicaions - Overview Lecurer: Assoc. Prof. Dr Noor M Khan Deparmen of Elecronic Engineering, Muhammad Ali Jinnah Universiy, Islamabad Campus, Islamabad,

More information

EE 330 Lecture 24. Amplification with Transistor Circuits Small Signal Modelling

EE 330 Lecture 24. Amplification with Transistor Circuits Small Signal Modelling EE 330 Lecure 24 Amplificaion wih Transisor Circuis Small Signal Modelling Review from las ime Area Comparison beween BJT and MOSFET BJT Area = 3600 l 2 n-channel MOSFET Area = 168 l 2 Area Raio = 21:1

More information

EXPERIMENT #9 FIBER OPTIC COMMUNICATIONS LINK

EXPERIMENT #9 FIBER OPTIC COMMUNICATIONS LINK EXPERIMENT #9 FIBER OPTIC COMMUNICATIONS LINK INTRODUCTION: Much of daa communicaions is concerned wih sending digial informaion hrough sysems ha normally only pass analog signals. A elephone line is such

More information

An Open-Loop Class-D Audio Amplifier with Increased Low-Distortion Output Power and PVT-Insensitive EMI Reduction

An Open-Loop Class-D Audio Amplifier with Increased Low-Distortion Output Power and PVT-Insensitive EMI Reduction Paper 8-6 An Open-Loop Class-D Audio Amplifier wih Increased Low-Disorion Oupu Power and PVT-Insensiive EMI Reducion Shih-Hsiung Chien 1, Li-Te Wu 2, Ssu-Ying Chen 2, Ren-Dau Jan 2, Min-Yung Shih 2, Ching-Tzung

More information

LECTURE 1 CMOS PHASE LOCKED LOOPS

LECTURE 1 CMOS PHASE LOCKED LOOPS Lecure 01 (8/9/18) Page 1-1 Objecive LECTURE 1 CMOS PHASE LOCKED LOOPS OVERVIEW Undersand he principles and applicaions of phase locked loops using inegraed circui echnology wih emphasis on CMOS echnology.

More information

Passband Data Transmission II References Frequency-shift keying Chapter 6.5, S. Haykin, Communication Systems, Wiley. H.1

Passband Data Transmission II References Frequency-shift keying Chapter 6.5, S. Haykin, Communication Systems, Wiley. H.1 Passand Daa ransmission II Reerences Frequency-shi keying Chaper 6.5, S. Haykin, Communicaion Sysems, Wiley. H. Inroducion Inroducion PSK and QAM are linear modulaion FSK is a nonlinear modulaion Similar

More information

Chapter 2: Fourier Representation of Signals and Systems

Chapter 2: Fourier Representation of Signals and Systems Tes 1 Review Tes 1 Review Proessor Deepa Kundur Universiy o Torono Reerence: Secions: 2.1, 2.2, 2.3, 2.4, 2.5, 2.6, 2.7 3.1, 3.2, 3.3, 3.4, 3.5, 3.6 o S. Haykin and M. Moher, Inroducion o Analog & Digial

More information

A WIDEBAND RADIO CHANNEL MODEL FOR SIMULATION OF CHAOTIC COMMUNICATION SYSTEMS

A WIDEBAND RADIO CHANNEL MODEL FOR SIMULATION OF CHAOTIC COMMUNICATION SYSTEMS A WIDEBAND RADIO CHANNEL MODEL FOR SIMULATION OF CHAOTIC COMMUNICATION SYSTEMS Kalle Rui, Mauri Honanen, Michael Hall, Timo Korhonen, Veio Porra Insiue of Radio Communicaions, Helsini Universiy of Technology

More information

weight: amplitude of sine curve

weight: amplitude of sine curve Joseph Fourier s claim: all signals are sums of sinusoids of differen frequencies. weighed sine curves weigh: ampliude of sine curve all : no exacly bu doesn maer for us in pracice Example: 3 sin() + sin(*)

More information

OpenStax-CNX module: m Elemental Signals. Don Johnson. Perhaps the most common real-valued signal is the sinusoid.

OpenStax-CNX module: m Elemental Signals. Don Johnson. Perhaps the most common real-valued signal is the sinusoid. OpenSax-CNX module: m0004 Elemenal Signals Don Johnson This work is produced by OpenSax-CNX and licensed under he Creaive Commons Aribuion License.0 Absrac Complex signals can be buil from elemenal signals,

More information

Lecture 19: Lowpass, bandpass and highpass filters

Lecture 19: Lowpass, bandpass and highpass filters Leure 9: Lowpass, bandpass and higass filers UHTXHQF\6HOHFLYH LOHUV Ideal frequeny-seleive filers are filers ha le frequeny omponens over a given frequeny band (he passband pass hrough undisored, while

More information

Signal detection, Fouriertransformation, phase correction and quadrature detection

Signal detection, Fouriertransformation, phase correction and quadrature detection 2/35 Signal deecion, Fourierransformaion, phase correcion and quadraure deecion Peer Schmieder Schmilka 2004 Wha is his seminar abou? Signaldeecion Wha kind of signal do we deec in NMR Fourierransformaion

More information

ANALOG AND DIGITAL SIGNAL PROCESSING LABORATORY EXPERIMENTS : CHAPTER 3

ANALOG AND DIGITAL SIGNAL PROCESSING LABORATORY EXPERIMENTS : CHAPTER 3 Laboraory # Chap 3 Objecives Linear Sysem Response: general case Undersand he difference and he relaionship beween a sep and impulse response. Deermine he limis of validiy of an approximaed impulse response.

More information

ECMA st Edition / June Near Field Communication Wired Interface (NFC-WI)

ECMA st Edition / June Near Field Communication Wired Interface (NFC-WI) ECMA-373 1 s Ediion / June 2006 Near Field Communicaion Wired Inerface (NFC-WI) Sandard ECMA-373 1 s Ediion / June 2006 Near Field Communicaion Wired Inerface (NFC-WI) Ecma Inernaional Rue du Rhône 114

More information

Communication Systems. Department of Electronics and Electrical Engineering

Communication Systems. Department of Electronics and Electrical Engineering COMM 704: Communicaion Lecure : Analog Mulipliers Dr Mohamed Abd El Ghany Dr. Mohamed Abd El Ghany, Mohamed.abdel-ghany@guc.edu.eg nroducion Nonlinear operaions on coninuous-valued analog signals are ofen

More information

f t 2cos 2 Modulator Figure 21: DSB-SC modulation.

f t 2cos 2 Modulator Figure 21: DSB-SC modulation. 4.5 Ampliude modulaion: AM 4.55. DSB-SC ampliude modulaion (which is summarized in Figure 21) is easy o undersand and analyze in boh ime and frequency domains. However, analyical simpliciy is no always

More information

Industrial, High Repetition Rate Picosecond Laser

Industrial, High Repetition Rate Picosecond Laser RAPID Indusrial, High Repeiion Rae Picosecond Laser High Power: RAPID is a very cos efficien, compac, diode pumped Nd:YVO4 picosecond laser wih 2 W average power a 1064 nm. Is 10 ps-pulses have high pulse

More information

ECE3204 Microelectronics II Bitar / McNeill. ECE 3204 / Term D-2017 Problem Set 7

ECE3204 Microelectronics II Bitar / McNeill. ECE 3204 / Term D-2017 Problem Set 7 EE3204 Microelecronics II Biar / McNeill Due: Monday, May 1, 2017 EE 3204 / Term D-2017 Problem Se 7 All ex problems from Sedra and Smih, Microelecronic ircuis, 7h ediion. NOTES: Be sure your NAME and

More information

13.1 Analog/Digital Lowpass Butterworth Filter

13.1 Analog/Digital Lowpass Butterworth Filter CHAPTER 3 IIR FILTER DESIGN 3. Analog/Digial Lowpass Buerworh Filer This docuen designs a lowpass digial IIR filer of he Buerworh ype. A bilinear ransforaion is perfored o creae a digial filer fro he analog

More information

L A-B-C dei Segnali Spread-Spectrum

L A-B-C dei Segnali Spread-Spectrum L A-B-C dei Segnali Spread-Specrum Marco Luise Universiy of Pisa, Ialy Diparimeno Ingegneria dell Informazione hp://www.ie.unipi.i/m.luise PAM Signal +A -A s() a 0 a 1 a 2 a 3 a 4 {a k }=+1 Binary Symbols

More information

Chapter 14: Bandpass Digital Transmission. A. Bruce Carlson Paul B. Crilly 2010 The McGraw-Hill Companies

Chapter 14: Bandpass Digital Transmission. A. Bruce Carlson Paul B. Crilly 2010 The McGraw-Hill Companies Communicaion Sysems, 5e Chaper 4: Bandpass Digial Transmission A. Bruce Carlson Paul B. Crilly The McGraw-Hill Companies Chaper 4: Bandpass Digial Transmission Digial CW modulaion Coheren binary sysems

More information

unmodulated carrier phase refference /2 /2 3π/2 APSK /2 3/2 DPSK t/t s

unmodulated carrier phase refference /2 /2 3π/2 APSK /2 3/2 DPSK t/t s The PSK Modulaion - PSK is a modulaion ha modifies he phase of a carrier signal, a he beginning of he symbol period, wih a value ha depends on he mulibi ha has o be modulaed - i exhibis a good resilience

More information

SystemC-AMS Hands-On Lab Part 2

SystemC-AMS Hands-On Lab Part 2 SysemC-AMS Hands-On Lab Par 2 Markus Damm, Chrisoph Grimm Compuer Technology Vienna Universiy of Technology, Ausria François Pecheux Laboraoire d Informaique de Paris 6 Universié Pierre & Marie Curie Compuer

More information

Lecture 5: DC-DC Conversion

Lecture 5: DC-DC Conversion 1 / 31 Lecure 5: DC-DC Conversion ELEC-E845 Elecric Drives (5 ECTS) Mikko Rouimo (lecurer), Marko Hinkkanen (slides) Auumn 217 2 / 31 Learning Oucomes Afer his lecure and exercises you will be able o:

More information

Receiver Architectures

Receiver Architectures 27/Dec/26 1 Receiver Archiecures Image-Rejec Receivers Shif-by-9 o For narrowband signal: sin cos +j /2 +j (a) T / 4 X = j j /2 G( ) = j sgn( ) 1/2 (b) Figure 5.23 Shif by 9 o in (a) ime and (b) frequency

More information

A1 K. 12V rms. 230V rms. 2 Full Wave Rectifier. Fig. 2.1: FWR with Transformer. Fig. 2.2: Transformer. Aim: To Design and setup a full wave rectifier.

A1 K. 12V rms. 230V rms. 2 Full Wave Rectifier. Fig. 2.1: FWR with Transformer. Fig. 2.2: Transformer. Aim: To Design and setup a full wave rectifier. 2 Full Wave Recifier Aim: To Design and seup a full wave recifier. Componens Required: Diode(1N4001)(4),Resisor 10k,Capacior 56uF,Breadboard,Power Supplies and CRO and ransformer 230V-12V RMS. + A1 K B1

More information

Digital Encoding And Decoding

Digital Encoding And Decoding Digial Encoding And Decoding Dr. George W Benhien Augus 13, 2007 Revised March 30, 2010 E-mail: george@gbenhien.ne 1 Inroducion Many elecronic communicaion devices oday process and ransfer informaion digially.

More information

Signals and communications fundamentals

Signals and communications fundamentals Signals and communicaions undamenals Luca Reggiani luca.reggiani@polimi.i hp://home.dei.polimi.i/reggiani/ Diparimeno di Eleronica, Inormazione e Bioingegneria Poliecnico di Milano Signals and communicaions

More information

6.003: Signals and Systems

6.003: Signals and Systems 6.3: Signals and Sysems Lecure 4 March 3, 6.3: Signals and Sysems Fourier Represenaions Mid-erm Examinaion # Wednesday, April 7, 7:3-9:3pm. No reciaions on he day of he exam. Coverage: Lecures 5 Reciaions

More information

TELE4652 Mobile and Satellite Communications

TELE4652 Mobile and Satellite Communications TELE465 Mobile and Saellie Communicaions Assignmen (Due: 4pm, Monday 7 h Ocober) To be submied o he lecurer before he beginning of he final lecure o be held a his ime.. This quesion considers Minimum Shif

More information

6.003: Signals and Systems Lecture 24 May 6, 2010

6.003: Signals and Systems Lecture 24 May 6, 2010 6.3: Signals and Sysems Lecure 24 May 6, 2 6.3: Signals and Sysems Course VI Underground Guide Modulaion Please give us and fuure sudens feedbac on 6.3 by paricipaing in he Course VI Underground Guide

More information

Phase-Shifting Control of Double Pulse in Harmonic Elimination Wei Peng1, a*, Junhong Zhang1, Jianxin gao1, b, Guangyi Li1, c

Phase-Shifting Control of Double Pulse in Harmonic Elimination Wei Peng1, a*, Junhong Zhang1, Jianxin gao1, b, Guangyi Li1, c Inernaional Symposium on Mechanical Engineering and Maerial Science (ISMEMS 016 Phase-Shifing Conrol of Double Pulse in Harmonic Eliminaion Wei Peng1, a*, Junhong Zhang1, Jianxin gao1, b, Guangyi i1, c

More information

Lecture 12: Modulation Techniques for Mobile Radio. Amplitude Modulation (Full AM or Double Sideband with Carrier)

Lecture 12: Modulation Techniques for Mobile Radio. Amplitude Modulation (Full AM or Double Sideband with Carrier) EE 499: Wireless & Mobile Communiaions (08) Leure : Modulaion Tehniques or Mobile Radio Dr. Wajih. bu-l-saud mpliude Modulaion Tehniques mpliude Modulaion (Full M or Double Sideband wih Carrier) The general

More information

Experiment 6: Transmission Line Pulse Response

Experiment 6: Transmission Line Pulse Response Eperimen 6: Transmission Line Pulse Response Lossless Disribued Neworks When he ime required for a pulse signal o raverse a circui is on he order of he rise or fall ime of he pulse, i is no longer possible

More information

Negative frequency communication

Negative frequency communication Negaive frequency communicaion Fanping DU Email: dufanping@homail.com Qing Huo Liu arxiv:2.43v5 [cs.it] 26 Sep 2 Deparmen of Elecrical and Compuer Engineering Duke Universiy Email: Qing.Liu@duke.edu Absrac

More information

Anti-Image Postfilter (7B) Young Won Lim 7/27/12

Anti-Image Postfilter (7B) Young Won Lim 7/27/12 Ani-Image Posfiler (7B) Copyrigh (c) 2012 Young W. Lim. Permission is graned o copy, disribue and/or modify his documen under he erms of he GNU Free Documenaion License, Version 1.2 or any laer version

More information

Communications II LABORATORY : Lab1- Signal Statistics, an Introduction to Simulink and FM

Communications II LABORATORY : Lab1- Signal Statistics, an Introduction to Simulink and FM Communicaions II LABORATORY : Lab1- Signal Saisics, an Inroducion o Simulink and FM Inroducion: In oday's lab we have hree pars. Throughou he firs par we will develop ools for analyzing, modifying, processing

More information

The design of an improved matched filter in DSSS-GMSK system

The design of an improved matched filter in DSSS-GMSK system Journal of Physics: Conference Series PAPER OPEN ACCESS The design of an improved mached filer in DSSS-GMSK sysem To cie his aricle: Mao Wei-ong e al 16 J. Phys.: Conf. Ser. 679 1 View he aricle online

More information

ECMA-373. Near Field Communication Wired Interface (NFC-WI) 2 nd Edition / June Reference number ECMA-123:2009

ECMA-373. Near Field Communication Wired Interface (NFC-WI) 2 nd Edition / June Reference number ECMA-123:2009 ECMA-373 2 nd Ediion / June 2012 Near Field Communicaion Wired Inerface (NFC-WI) Reference number ECMA-123:2009 Ecma Inernaional 2009 COPYRIGHT PROTECTED DOCUMENT Ecma Inernaional 2012 Conens Page 1 Scope...

More information

10. The Series Resistor and Inductor Circuit

10. The Series Resistor and Inductor Circuit Elecronicsab.nb 1. he Series esisor and Inducor Circui Inroducion he las laboraory involved a resisor, and capacior, C in series wih a baery swich on or off. I was simpler, as a pracical maer, o replace

More information

COMM702: Modulation II

COMM702: Modulation II COMM70: Modulaion II Leure 4 - Coheren and non-oheren inary pass-and daa ransmission Binary Digial Modulaion Sinusoidal Carrier Digial Message ASK FSK PSK Parameers o Digial Pass-and ransmission Proailiy

More information

Digital Communications: An Overview of Fundamentals

Digital Communications: An Overview of Fundamentals IMPERIAL COLLEGE LONDON DEPARTMENT of ELECTRICAL and ELECTRONIC ENGINEERING. COMPACT LECTURE NOTES on COMMUNICATION THEORY. Prof. Ahanassios Manikas, version Auumn 2008 Digial Communicaions: An Overview

More information

Design of High-linearity Delay Detection Circuit for 10-Gb/s Communication System in 65-nm CMOS

Design of High-linearity Delay Detection Circuit for 10-Gb/s Communication System in 65-nm CMOS JOURNAL OF SEMICONDUCTOR TECHNOLOGY AND SCIENCE, VOL.17, NO.6, DECEMBER, 2017 ISSN(Prin) 1598-1657 hps://doi.org/10.5573/jsts.2017.17.6.742 ISSN(Online) 2233-4866 Design of High-lineariy Delay Deecion

More information

Technology Trends & Issues in High-Speed Digital Systems

Technology Trends & Issues in High-Speed Digital Systems Deailed comparison of dynamic range beween a vecor nework analyzer and sampling oscilloscope based ime domain reflecomeer by normalizing measuremen ime Sho Okuyama Technology Trends & Issues in High-Speed

More information

Communications II Lecture 5: Effects of Noise on FM. Professor Kin K. Leung EEE and Computing Departments Imperial College London Copyright reserved

Communications II Lecture 5: Effects of Noise on FM. Professor Kin K. Leung EEE and Computing Departments Imperial College London Copyright reserved Communicaions II Lecure 5: Eecs o Noise on FM Proessor Kin K. Leung EEE and Compuing Deparmens Imperial College London Copyrigh reserved Ouline Recap o FM FM sysem model in noise Derivaion o oupu SNR Pre/de-emphasis

More information

Table of Contents. 3.0 SMPS Topologies. For Further Research. 3.1 Basic Components. 3.2 Buck (Step Down) 3.3 Boost (Step Up) 3.4 Inverter (Buck/Boost)

Table of Contents. 3.0 SMPS Topologies. For Further Research. 3.1 Basic Components. 3.2 Buck (Step Down) 3.3 Boost (Step Up) 3.4 Inverter (Buck/Boost) Table of Conens 3.0 SMPS Topologies 3.1 Basic Componens 3.2 Buck (Sep Down) 3.3 Boos (Sep Up) 3.4 nverer (Buck/Boos) 3.5 Flyback Converer 3.6 Curren Boosed Boos 3.7 Curren Boosed Buck 3.8 Forward Converer

More information

Channel Estimation for Wired MIMO Communication Systems

Channel Estimation for Wired MIMO Communication Systems Channel Esimaion for Wired MIMO Communicaion Sysems Final Repor Mulidimensional DSP Projec, Spring 2005 Daifeng Wang Absrac This repor addresses raining-based channel modeling and esimaion for a wired

More information

Problem Sheet: Communication Channels Communication Systems

Problem Sheet: Communication Channels Communication Systems Problem Shee: Communicaion Channels Communicaion Sysems Professor A. Manikas Chair of Communicaions and Array Processing Deparmen of Elecrical & Elecronic Engineering Imperial College London v.11 Communicaion

More information

EE123 Digital Signal Processing

EE123 Digital Signal Processing Announcemens EE23 Digial Signal Processing Lecure Miderms: 2/28, 3/2, 4/2 HAM: Obain FRN number from FCC Fill form applicaion for amaeur radio operaor and bring o class on Friday or before (o Frank) Ink

More information

ICT 5305 Mobile Communications

ICT 5305 Mobile Communications ICT 5305 Mobile Communicaions Lecure - 2 April 2016 Dr. Hossen Asiful Musafa 2.1 Frequencies for communicaion VLF = Very Low Frequency LF = Low Frequency MF = Medium Frequency HF = High Frequency VHF =

More information

Timing Skew Compensation Technique Using Digital Filter with Novel Linear Phase Condition

Timing Skew Compensation Technique Using Digital Filter with Novel Linear Phase Condition Timing Skew Compensaion Technique Using Digial Filer wih Novel Linear Phase Condiion Koji Asami Advanes Corporaion Hiroyuki Miyajima, uyoshi Kurosawa, Takenori Taeiwa, Haruo Kobayashi Gunma Universiy 1

More information

Principles of Communications Lecture 4: Analog Modulation Techniques (2) Chih-Wei Liu 劉志尉 National Chiao Tung University

Principles of Communications Lecture 4: Analog Modulation Techniques (2) Chih-Wei Liu 劉志尉 National Chiao Tung University Principles o Communicaions Lecure 4: Analog Modulaion Techniques Chih-Wei Liu 劉志尉 Naional Chiao Tung Universiy cwliu@wins.ee.ncu.edu.w Oulines Linear Modulaion Angle Modulaion Inererence Feedback Demodulaors

More information

A Novel Concept for Transformer Volt Second Balancing of a VIENNA Rectifier III Based on Direct Magnetizing Current Measurement

A Novel Concept for Transformer Volt Second Balancing of a VIENNA Rectifier III Based on Direct Magnetizing Current Measurement A Novel Concep for ransformer Vol Second Balancing of a VIENNA Recifier III Based on Direc Magneizing Curren Measuremen Franz Sögerer Johann W. Kolar Uwe Drofenik echnical Universiy Vienna Dep. of Elecrical

More information

Signals and the frequency domain ENGR 40M lecture notes July 31, 2017 Chuan-Zheng Lee, Stanford University

Signals and the frequency domain ENGR 40M lecture notes July 31, 2017 Chuan-Zheng Lee, Stanford University Signals and he requency domain ENGR 40M lecure noes July 3, 07 Chuan-Zheng Lee, Sanord Universiy signal is a uncion, in he mahemaical sense, normally a uncion o ime. We oen reer o uncions as signals o

More information

Diodes. Diodes, Page 1

Diodes. Diodes, Page 1 Diodes, Page 1 Diodes V-I Characerisics signal diode Measure he volage-curren characerisic of a sandard signal diode, he 1N914, using he circui shown below. The purpose of he back-o-back power supplies

More information

6.003: Signals and Systems Lecture 24 December 6, 2011

6.003: Signals and Systems Lecture 24 December 6, 2011 6.3: Signals and Sysems Lecure 24 December 6, 2 6.3: Signals and Sysems Modulaion Subjec Evaluaions Your feedbac is imporan o us! Please give feedbac o he saff and fuure 6.3 sudens: hp://web.mi.edu/subjecevaluaion

More information

7 th International Conference on DEVELOPMENT AND APPLICATION SYSTEMS S u c e a v a, R o m a n i a, M a y 27 29,

7 th International Conference on DEVELOPMENT AND APPLICATION SYSTEMS S u c e a v a, R o m a n i a, M a y 27 29, 7 h Inernaional Conference on DEVEOPMENT AND APPICATION SYSTEMS S u c e a v a, o m a n i a, M a y 27 29, 2 0 0 4 THEE-PHASE AC CHOPPE WITH IGBT s Ovidiu USAU 1, Mihai UCANU, Crisian AGHION, iviu TIGAEU

More information

Generating Polar Modulation with R&S SMU200A

Generating Polar Modulation with R&S SMU200A Rohde & Schwarz producs: SMU00 Generaing Polar Modulaion wih R&S SMU00 Polar modulaion is a mehod where digial modulaion is realized as a combinaion of phase and ampliude modulaion, raher han using an

More information

EE558 - Digital Communications

EE558 - Digital Communications EE558 - Digial Communicaions Lecure 1: Inroducion & Overview Dr. Duy Nguyen Ouline 1 Course Informaion 2 Inroducion o Digial Communicaions Course Informaion 2 Adminisraion Hours and Locaion Lecures: TTH

More information

P. Bruschi: Project guidelines PSM Project guidelines.

P. Bruschi: Project guidelines PSM Project guidelines. Projec guidelines. 1. Rules for he execuion of he projecs Projecs are opional. Their aim is o improve he sudens knowledge of he basic full-cusom design flow. The final score of he exam is no affeced by

More information

Memorandum on Impulse Winding Tester

Memorandum on Impulse Winding Tester Memorandum on Impulse Winding Teser. Esimaion of Inducance by Impulse Response When he volage response is observed afer connecing an elecric charge sored up in he capaciy C o he coil L (including he inside

More information

MEASUREMENTS OF VARYING VOLTAGES

MEASUREMENTS OF VARYING VOLTAGES MEASUREMENTS OF ARYING OLTAGES Measuremens of varying volages are commonly done wih an oscilloscope. The oscilloscope displays a plo (graph) of volage versus imes. This is done by deflecing a sream of

More information

March 13, 2009 CHAPTER 3: PARTIAL DERIVATIVES AND DIFFERENTIATION

March 13, 2009 CHAPTER 3: PARTIAL DERIVATIVES AND DIFFERENTIATION March 13, 2009 CHAPTER 3: PARTIAL DERIVATIVES AND DIFFERENTIATION 1. Parial Derivaives and Differeniable funcions In all his chaper, D will denoe an open subse of R n. Definiion 1.1. Consider a funcion

More information

Notes on the Fourier Transform

Notes on the Fourier Transform Noes on he Fourier Transform The Fourier ransform is a mahemaical mehod for describing a coninuous funcion as a series of sine and cosine funcions. The Fourier Transform is produced by applying a series

More information

Question 1 TELE4353. Average Delay Spread. RMS Delay Spread = = Channel response (2) Channel response (1)

Question 1 TELE4353. Average Delay Spread. RMS Delay Spread = = Channel response (2) Channel response (1) ELE4353 Mobile and Saellie Communicaion Syem uorial 3 (wee 7-8 S 4 Queion If a paricular modulaion provide uiable ER performance whenever σ /

More information

Noncoherent Equalizer for DECT System. Master of Science Thesis in the Programme Integrated Electronic System Design XIAOYU TENG WEICHAO ZHANG

Noncoherent Equalizer for DECT System. Master of Science Thesis in the Programme Integrated Electronic System Design XIAOYU TENG WEICHAO ZHANG Noncoheren Equalizer for DECT Sysem Maser of Science Thesis in he Programme Inegraed Elecronic Sysem Design XIAOYU TENG WEICHAO ZHANG Chalmers Universiy of Technology Universiy of Gohenburg Deparmen of

More information

Investigation and Simulation Model Results of High Density Wireless Power Harvesting and Transfer Method

Investigation and Simulation Model Results of High Density Wireless Power Harvesting and Transfer Method Invesigaion and Simulaion Model Resuls of High Densiy Wireless Power Harvesing and Transfer Mehod Jaber A. Abu Qahouq, Senior Member, IEEE, and Zhigang Dang The Universiy of Alabama Deparmen of Elecrical

More information

Microwave Wireless Communication System

Microwave Wireless Communication System Technical repor, IDE068, January 006 Microwave Wireless Communicaion Sysem Maser s Thesis in Elecrical Engineering Carl Dagne, Johan Bengsson, Ingemar Lindgren School of Informaion Science, Compuer and

More information