Digital signal processing an introduction with MATLAB and applications

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Hauptverfasser: Hussain, Zahir M. (VerfasserIn), Sadik, Amin Z. (VerfasserIn), O'Shea, Peter (VerfasserIn)
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Sprache:English
Veröffentlicht: Heidelberg [u.a.] Springer 2011
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Datensatz im Suchindex

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adam_text IMAGE 1 CONTENTS PART I THEORY AND SELECTED APPLICATIONS 1 ANALOG SIGNALS AND SYSTEMS 1 . 1 DEFINITIONS, CLASSIFICATIONS, AND OVERVIEW . 1 DEFINITIONS .2 REPRESENTATION OF SIGNALS AND SYSTEMS .3 EXAMPLES OF SIGNALS .4 CLASSIFICATION OF SIGNALS .5 ANALOG AND DIGITAL SIGNAL PROCESSING .6 DIGITAL SIGNAL PROCESSING VERSUS ANALOG SIGNAL PROCESSING 7 .7 SYSTEM MODELING 7 .8 CLASSIFICATION OF SYSTEMS 8 .9 LINEAR TIME-INVARIANT SYSTEMS 9 1.2 TIME-DOMAIN / FREQUENCY-DOMAIN REPRESENTATIONS 10 1.2.1 BASIC FUNCTIONS AND RELATIONS 10 1.2.1.1 THE CONVOLUTION INTEGRAL 10 1.2.1.2 THE DIRAC DELTA FUNCTION 11 1.2.1.3 THE UNIT STEP FUNCTION 12 1.2.2 TIME-DOMAIN REPRESENTATION 13 1.2.2.1 MATHEMATICAL TIME-DOMAIN REPRESENTATION 13 1.2.2.2 STABILITY OF ANALOG LTI SYSTEMS IN THE TIME DOMAIN 14 1.2.3 FREQUENCY-DOMAIN REPRESENTATION 14 1.2.3.1 FOURIER SERIES REPRESENTATION OF PERIODIC SIGNALS 15 1.2.3.2 THE FOURIER TRANSFORM 18 1.2.3.3 THE LAPLACE TRANSFORM 25 1.2.3.4 MATHEMATICAL FREQUENCY-DOMAIN REPRESENTATION 28 BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1005454566 DIGITALISIERT DURCH IMAGE 2 CONTENTS 1.2.3.5 STABILITY OF ANALOG LTI SYSTEMS-FREQUENCY DOMAIN 29 1.2.4 SIGNAL CORRELATION AND ITS APPLICATIONS 29 1.2.5 SIGNAL POWER AND ENERGY 31 1.2.5.1 POWER IN PERIODIC SIGNALS 32 1.2.5.2 PARSEVAL S THEOREM 32 1.2.5.3 THE WIENER-KINCHIN THEOREM 33 1.2.5.4 EXAMPLES 33 1.3 RANDOM SIGNALS 35 1.3.1 DEFINITION 35 1.3.2 OVERVIEW OF PROBABILITY AND STATISTICS 35 1.3.2.1 PROBABILITY AND SAMPLE SPACE 35 1.3.2.2 RANDOM VARIABLES 36 1.3.2.3 JOINT PROBABILITY 36 1.3.2.4 CONDITIONAL PROBABILITY 36 1.3.2.5 INDEPENDENT EVENTS 37 1.3.2.6 PROBABILITY DENSITY FUNCTION 37 1.3.2.7 STATISTICAL MEAN 37 1.3.2.8 THE SECOND MOMENT 38 1.3.2.9 THE VARIANCE 38 1.3.2.10 THE GAUSSIAN PDF 38 1.3.3 SIGNALS IN NOISE 39 1.3.3.1 GAUSSIAN NOISE 39 1.3.3.2 SIGNALS IN GAUSSIAN NOISE 39 1.3.3.3 POWER SPECTRAL DENSITY OF RANDOM SIGNALS... 40 1.3.3.4 STATIONARY RANDOM SIGNALS 40 1.3.3.5 THE AUTOCORRELATION FUNCTION OF RANDOM SIGNALS 40 1.3.3.6 WIDE-SENSE STATIONARY SIGNALS 40 1.3.3.7 WIENER-KINCHIN THEOREM FOR RANDOM SIGNALS 41 1.3.3.8 WHITE NOISE 41 1.3.3.9 EFFECT OF IDEAL LOW-PASS FILTER ON WHITE NOISE 42 1.4 APPLICATIONS OF ANALOG SIGNAL ANALYSIS 43 1.4.1 SIGNAL DETECTION IN NOISE 43 1.4.2 THE MATCHED FILTER 44 1.4.2.1 CONCLUSION 47 1.4.2.2 THE OUTPUT OF THE MATCHED FILTER AT THE TIME OF OPTIMAL SNR 47 1.4.2.3 THE MATCHED FILTER IS A CORRELATOR 48 1.4.2.4 THE OPTIMAL RECEIVER 48 IMAGE 3 CONTENTS 1.5 ANALOG FILTERS 48 1.5.1 THE IDEAL LOW-PASS FILTER 49 1.5.2 BUTTERWORTH LPF 50 1.5.3 CHEBYCHEV-I LPF 50 1.5.4 DESIGN OF BUTTERWORTH AND CHEBYCHEV-I LPF S 51 1.5.4.1 EXAMPLE OF A LOW-PASS FILTER DESIGN 52 1.5.4.2 CIRCUIT DESIGN 53 1.5.5 DESIGN OF BUTTERWORTH AND CHEBYCHEV-I HIGH-PASS, BAND-PASS AND BAND-STOP FILTERS 53 1.5.5.1 CIRCUIT DESIGN 54 1.5.5.2 IMPEDANCE MATCHING 54 1.5.5.3 HARDWARE FILTER DESIGN RULES USING NORMALIZED LPF STANDARD CIRCUITS 55 1.5.5.4 EXAMPLE OF A HIGH-PASS FILTER DESIGN 55 1.5.6 CHEBYCHEV-II FILTERS 56 1.5.7 ELLIPTIC FILTERS 57 1.5.8 MATLAB ANALOG FILTER DESIGN 57 1.5.9 ACTIVE FILTERS 58 1.5.9.1 OVERVIEW OF ACTIVE AMPLIFIERS 58 1.5.9.2 THE ACTIVE BUFFER 59 1.5.9.3 THE ACTIVE INDUCTANCE 60 1.5.9.4 BUTTERWORTH ACTIVE FILTERS 60 REFERENCES 62 DISCRETE AND DIGITAL SIGNALS AND SYSTEMS 63 2.1 INTRODUCTION 63 2.1.1 DIGITAL SYSTEMS 64 2.2 IDEAL SAMPLING AND RECONSTRUCTION 64 2.2.1 IDEAL UNIFORM SAMPLING 64 2.2.1.1 DEFINITIONS FOR SOME IMPORTANT DISCRETE-TIME SIGNALS 65 2.2.2 IDEAL RECONSTRUCTION 68 2.2.2.1 STAGE 1 68 2.2.2.2 STAGE 2 69 2.2.2.3 FREQUENCY ALIASING 70 2.3 TIME-DOMAIN / FREQUENCY-DOMAIN REPRESENTATIONS 71 2.3.1 TIME-DOMAIN REPRESENTATION OF DIGITAL SIGNALS AND SYSTEMS 71 2.3.1.1 DISCRETE LINEAR CONVOLUTION 71 2.3.1.2 MATHEMATICAL REPRESENTATION OF DIGITAL SIGNALS AND SYSTEMS IN THE TIME DOMAIN . .. 73 IMAGE 4 I CONTENTS 2.3.2 FREQUENCY-DOMAIN REPRESENTATION OF DIGITAL SIGNALS AND SYSTEMS 75 2.3.2.1 DISCRETE-TIME FOURIER SERIES FOR PERIODIC DIGITAL SIGNALS 75 2.3.2.2 THE DISCRETE-TIME FOURIER TRANSFORM FOR NON-PERIODIC DIGITAL SIGNALS 75 2.3.3 THE Z-TRANSFORM 76 2.3.3.1 THE SINGLE-SIDED ZT 77 2.3.3.2 THE TIME-SHIFT PROPERTY OF THE ZT 78 2.3.3.3 RELATIONSHIP BETWEEN THE FT AND ZT OF A DISCRETE-TIME SIGNAL 78 2.3.3.4 RELATIONSHIP BETWEEN THE LT AND THE ZT FOR DISCRETE-TIME SIGNALS 78 2.3.4 MATHEMATICAL REPRESENTATION OF SIGNALS AND SYSTEMS IN THE FREQUENCY DOMAIN 79 2.3.4.1 RELATIONSHIP BETWEEN THE ZT TRANSFER FUNCTION AND THE FREQUENCY RESPONSE 80 2.3.4.2 STABILITY OF DIGITAL SYSTEMS IN THE Z-DOMAIN 80 2.4 A DISCRETE-TIME AND DISCRETE-FREQUENCY REPRESENTATION 82 2.4.1 THE DISCRETE FOURIER TRANSFORM 82 2.4.1.1 APPROXIMATION OF THE FT USING DFT 84 2.4.1.2 RELATIONSHIP BETWEEN THE DFT AND THE DFS COEFFICIENTS 84 2.4.1.3 THE FAST FOURIER TRANSFORM 84 2.4.1.4 CIRCULAR CONVOLUTION AND ITS RELATION TO THE LINEAR CONVOLUTION 85 2.4.1.5 I/O RELATIONS USING CIRCULAR CONVOLUTION AND THE DFT 85 2.5 SIGNAL CORRELATION, POWER, AND ENERGY 86 2.5.1 DEFINITIONS 86 2.5.1.1 AUTOCORRELATION OF NON-PERIODIC DISCRETE-TIME ENERGY SIGNALS 86 2.5.1.2 AUTOCORRELATION FOR PERIODIC DISCRETE-TIME POWER SIGNALS 87 2.5.1.3 ENERGY IN NON-PERIODIC DISCRETE-TIME ENERGY SIGNALS 87 2.5.1.4 POWER IN PERIODIC DISCRETE-TIME POWER SIGNALS 87 2.5.1.5 PARSEVAL S THEOREM 87 2.5.1.6 THE WIENER-KINCHIN THEOREM 88 2.6 DIGITAL FILTERS AND THEIR APPLICATIONS 88 2.6.1 IDEAL DIGITAL FILTERS 88 2.6.1.1 MATHEMATICAL FORMULATION 88 IMAGE 5 CONTENTS 2.6.2 LINEAR-PHASE SYSTEMS 90 2.6.3 CLASSIFICATION OF DIGITAL FILTERS 91 2.6.4 FIR DIGITAL FILTERS 91 2.6.4.1 STRUCTURE AND IMPLEMENTATION OF FIR FILTERS 91 2.6.4.2 SOFTWARE IMPLEMENTATION OF FIR FILTERS 91 2.6.4.3 FIR FILTERING OF LONG DATA SEQUENCES 92 2.6.4.4 POLE-ZERO DIAGRAM AND STABILITY OF FIR FILTERS 92 2.6.4.5 LINEAR-PHASE FIR FILTERS 93 2.6.4.6 EFFICIENT HARDWARE IMPLEMENTATION OF LINEAR PHASE FIR FILTERS 94 2.6.5 DESIGN OF FIR DIGITAL FILTERS 95 2.6.5.1 TIME-DOMAIN DESIGN 95 2.6.5.2 FREQUENCY-DOMAIN DESIGN 99 2.6.6 APPLICATIONS OF FIR DIGITAL FILTERS 102 2.6.6.1 COMMUNICATION CHANNEL EQUALIZATION 102 2.6.6.2 THE MOVING AVERAGE FILTER 102 2.6.6.3 THE DIGITAL DIFFERENTIATOR 103 2.6.6.4 THE DIGITAL MATCHED FILTER 106 2.6.7 IIR DIGITAL FILTERS 108 2.6.7.1 STRUCTURE AND IMPLEMENTATION OF IIR DIGITAL FILTERS 108 2.6.7.2 IIR VERSUS FIR FILTERS 108 2.6.7.3 DIRECT FORM IMPLEMENTATION OF IIR DIGITAL FILTERS 109 2.6.7.4 PRACTICAL IMPLEMENTATION OF IIR DIGITAL FILTERS 110 2.6.8 DESIGN OF IIR DIGITAL FILTERS I LL 2.6.8.1 TIME-DOMAIN DESIGN: IMPULSE RESPONSE MATCHING I LL 2.6.8.2 FREQUENCY-DOMAIN DESIGN: FREQUENCY RESPONSE MATCHING 114 2.6.8.3 MATLAB IIR FILTER DESIGN USING THE BILINEAR TRANSFORMATION 117 2.6.8.4 MATLAB FIR/ IIR FILTER DESIGN AND ANALYSIS TOOLBOX 118 2.6.9 APPLICATIONS OF IIR DIGITAL FILTERS 119 2.6.9.1 THE DIGITAL INTEGRATOR 119 2.6.9.2 THE ALPHA FILTER 120 2.6.9.3 THE SINUSOIDAL DIGITAL OSCILLATOR 120 2.6.9.4 THE DIGITAL RESONATOR 122 2.6.9.5 A DIGITAL DC BLOCKER 124 IMAGE 6 CONTENTS 2.6.9.6 AN APPLICATION OF FIR / IIR DIGITAL FILTERS: SIMULATION OF ACOUSTIC EFFECTS 126 REFERENCES 127 PART II APPLIED SIGNAL PROCESSING 3 SELECTED TOPICS IN APPLIED SIGNAL PROCESSING 131 3.1 INTRODUCTION 131 3.2 BINARY SIGNAL TRANSMISSION 131 3.2.1 BINARY TRANSMISSION USING ORTHOGONAL SIGNALS 132 3.2.1.1 PROBABILITY OF ERROR 134 3.2.2 BINARY TRANSMISSION USING ANTIPODAL SIGNALS 135 3.3 THE HUBERT TRANSFORM AND THE ANALYTIC SIGNAL 137 3.3.1 THE ANALOG AND DIGITAL HUBERT TRANSFORM 137 3.3.1.1 THE ANALOG HUBERT TRANSFORM 137 3.3.1.2 THE DIGITAL HUBERT TRANSFORM 138 3.3.2 THE ANALYTIC SIGNAL 139 3.3.3 APPLICATIONS OF THE HUBERT TRANSFORM AND THE ANALYTIC SIGNAL 140 3.3.3.1 SPECTRAL ECONOMY AND COMPUTATION OF THE INSTANTANEOUS FREQUENCY 140 3.3.3.2 SINGLE SIDE-BAND AMPLITUDE MODULATION 140 3.3.3.3 SPECTRUM OF THE SSBSC AM SIGNAL 141 3.3.3.4 DEMODULATION OF SSBSC AM SIGNALS 141 3.4 PHASE-LOCKED LOOPS 142 3.4.1 ANALOG PHASE-LOCKED LOOPS 143 3.4.2 DIGITAL PHASE-LOCKED LOOPS 145 3.4.2.1 THE SINUSOIDAL DPLL (SDPLL) 146 3.4.2.2 OPERATION OF THE SDPLL 147 3.4.2.3 THE FIRST-ORDER NOISE-FREE SDPLL 149 3.4.2.4 THE SECOND-ORDER NOISE-FREE SDPLL 152 3.4.2.5 PM DEMODULATION USING THE SDPLL 154 3.5 LINEAR ESTIMATION AND ADAPTIVE FILTERING 156 3.5.1 NON-ADAPTIVE FIR LMS FILTER 157 3.5.2 ADAPTIVE FILTERS 159 3.5.3 CHOICE OF THE DESIRED SIGNAL 159 3.5.4 THE ADAPTIVE LMS ALGORITHM 160 3.5.5 CHOICE OF ADAPTATION (CONVERGENCE) COEFFICIENT AND FILTER LENGTH 160 3.5.6 HARDWARE IMPLEMENTATION OF ADAPTIVE FIR FILTERS 161 3.5.7 AN EXAMPLE OF LMS FILTERING 161 3.5.8 APPLICATION OF ADAPTIVE FILTERING TO NOISE REDUCTION IN NARROW-BAND SIGNALS 162 IMAGE 7 CONTENTS 3.5.9 APPLICATION OF ADAPTIVE FILTERING TO CHANNEL EQUALIZATION 163 3.5.9.1 REDUCING INTERSYMBOL INTERFERENCE 163 3.5.9.2 THE ADAPTIVE CHANNEL EQUALIZER 165 3.6 SIGMA-DELTA MODULATION & NOISE SHAPING 165 3.6.1 QUANTIZATION 166 3.6.1.1 UNIFORM QUANTIZATION 166 3.6.1.2 NONUNIFORM QUANTIZATION 168 3.6.2 OVERSAMPLING AND ITS APPLICATIONS 168 3.6.2.1 QUANTIZATION SNR IMPROVEMENT 168 3.6.2.2 RELAXING CONDITIONS ON THE ANTI-ALIASING FILTER 168 3.6.3 DELTA MODULATION 169 3.6.3.1 DIGITAL DM SYSTEM 172 3.6.3.2 SIGMA-DELTA MODULATION 172 3.7 NON-STATIONARY SIGNAL ANALYSIS 174 3.7.1 THE NEED FOR TIME-FREQUENCY ANALYSIS 174 3.7.2 SOME IMPORTANT TFRS 176 3.7.2.1 THE SHORT-TIME FOURIER TRANSFORM 177 3.7.2.2 COHEN S CLASS OF TFRS 177 3.7.3 THE DISCRETE COSINE TRANSFORM 179 3.7.3.1 AN APPLICATION OF THE DCT: DATA COMPRESSION 181 REFERENCES 182 PART HI ADVANCED TOPICS 4 THE IMPACT OF FINITE WORDLENGTH IMPLEMENTAION 185 4.1 INTRODUCTION 185 4.2 OVERVIEW OF NUMBER FORMATS 185 4.2.1 FIXED-POINT FORMAT 186 4.2.2 FLOATING-POINT FORMAT 187 4.3 THE QUANTIZATION PROCESS 187 4.3.1 QUANTIZATION OF FIXED-POINT NUMBERS 188 4.3.1.1 THE ROUNDING METHOD 188 4.3.1.2 TRUNCATION METHOD 189 4.3.2 QUANTIZATION OF FLOATING-POINT NUMBERS 190 4.3.3 IMPACT OF QUANTIZATION ON DSP SYSTEM IMPLEMENTATION 191 4.4 COEFFICIENT QUANTIZATION ERROR IN DIGITAL FILTERS 193 4.4.1 COEFFICIENT QUANTIZATION ERROR IN IIR FILTERS 193 4.4.2 COEFFICIENT QUANTIZATION ERROR IN FIR FILTER 197 IMAGE 8 XVIII CONTENTS 4.5 QUANTIZATION ERRORS IN ARITHMETIC OPERATIONS 198 4.5.1 MULTIPLIER AND ACCUMULATOR ERRORS IN FIXED-POINT ARITHMETIC 199 4.5.1.1 MULTIPLIER ERROR 199 4.5.1.2 ACCUMULATOR ERROR 199 4.5.2 SCALING IN FIXED-POINT ARITHMETIC 199 4.5.2.1 SCALING OF DIRECT FORM IIR FILTER 200 4.5.2.2 SCALING OF CASCADE-FORM IIR FILTERS 202 4.5.2.3 SCALING OF DIRECT-FORM FIR FILTERS 203 4.6 LIMIT CYCLE PHENOMENA 205 REFERENCES 208 5 MULTIRATE DIGITAL SIGNAL PROCESSING 209 5.1 INTRODUCTION 209 5.2 BASIC ELEMENTS OF MULTIRATE PROCESSING 209 5.2.1 THE DOWN-SAMPLER AND THE UP-SAMPLER 210 5.2.2 FREQUENCY-DOMAIN REPRESENTATION 212 5.3 SAMPLING RATE CONVERSION USING MULTIRATE STRUCTURES 215 5.3.1 DECIMATION 215 5.3.2 INTERPOLATION 216 5.3.3 RATIONAL NUMBER SAMPLING RATE CONVERSION 218 5.4 EFFICIENT IMPLEMENTATION OF MULTIRATE SYSTEMS 220 5.4.1 NOBLE IDENTITIES 220 5.4.2 POLYPHASE DECOMPOSITION 220 5.4.3 MULTISTAGE IMPLEMENTATION 224 5.4.3.1 INTERPOLATED FIR FILTER DESIGN 225 REFERENCE 227 APPENDIX A: TUTORIALS 229 APPENDIX B: MISCELLANEOUS EXERCISES 291 APPENDIX C: TABLES AND FORMULAS 303 APPENDIX D: DSP LAB EXPERIMENTS 319 AUTHORS BIOGRAPHIES 349
any_adam_object 1
author Hussain, Zahir M.
Sadik, Amin Z.
O'Shea, Peter
author_facet Hussain, Zahir M.
Sadik, Amin Z.
O'Shea, Peter
author_role aut
aut
aut
author_sort Hussain, Zahir M.
author_variant z m h zm zmh
a z s az azs
p o po
building Verbundindex
bvnumber BV037277655
classification_rvk ZN 6040
ctrlnum (OCoLC)711860281
(DE-599)DNB1005454566
dewey-full 621.3822
dewey-hundreds 600 - Technology (Applied sciences)
dewey-ones 621 - Applied physics
dewey-raw 621.3822
dewey-search 621.3822
dewey-sort 3621.3822
dewey-tens 620 - Engineering and allied operations
discipline Maschinenbau / Maschinenwesen
Elektrotechnik / Elektronik / Nachrichtentechnik
format Book
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language English
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physical XXI, 350 S. Ill., graph. Darst.
publishDate 2011
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publisher Springer
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spellingShingle Hussain, Zahir M.
Sadik, Amin Z.
O'Shea, Peter
Digital signal processing an introduction with MATLAB and applications
Digitale Signalverarbeitung (DE-588)4113314-6 gnd
subject_GND (DE-588)4113314-6
title Digital signal processing an introduction with MATLAB and applications
title_auth Digital signal processing an introduction with MATLAB and applications
title_exact_search Digital signal processing an introduction with MATLAB and applications
title_full Digital signal processing an introduction with MATLAB and applications Zahir M. Hussain ; Amin Z. Sadik ; Peter O'Shea
title_fullStr Digital signal processing an introduction with MATLAB and applications Zahir M. Hussain ; Amin Z. Sadik ; Peter O'Shea
title_full_unstemmed Digital signal processing an introduction with MATLAB and applications Zahir M. Hussain ; Amin Z. Sadik ; Peter O'Shea
title_short Digital signal processing
title_sort digital signal processing an introduction with matlab and applications
title_sub an introduction with MATLAB and applications
topic Digitale Signalverarbeitung (DE-588)4113314-6 gnd
topic_facet Digitale Signalverarbeitung
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