9781420070460

Signal Processing for Communications

by ;
  • ISBN13:

    9781420070460

  • ISBN10:

    1420070460

  • Edition: 1st
  • Format: Hardcover
  • Copyright: 2008-08-19
  • Publisher: EFPL Press

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Summary

Taking a novel, less 'śclassical'ť approach, the authors have written a book with the conviction that signal processing should be fun. Their treatment is less focused on the mathematics and more on the conceptual aspects, allowing readers to think about the subject at a higher conceptual level, thus building the foundations for more advanced topics and helping students solve real-world problems. The last chapter pulls together the individual topics into an in-depth look at the development of an end-to-end communication system. Richly illustrated with examples and exercises in each chapter, the book offers a fresh approach to the teaching of signal processing to upper-level undergraduates.

Table of Contents

Prefacep. vii
What Is Digital Signal Processing?p. 1
Some History and Philosophyp. 2
Digital Signal Processing under the Pyramidsp. 2
The Hellenic Shift to Analog Processingp. 4
"Gentlemen: calculemus!"p. 5
Discrete Timep. 7
Discrete Amplitudep. 10
Communication Systemsp. 12
How to Read this Bookp. 17
Further Readingp. 18
Discrete-Time Signalsp. 19
Basic Definitionsp. 19
The Discrete-Time Abstractionp. 21
Basic Signalsp. 23
Digital Frequencyp. 25
Elementary Operatorsp. 26
The Reproducing Formulap. 27
Energy and Powerp. 27
Classes of Discrete-Time Signalsp. 28
Finite-Length Signalsp. 29
Infinite-Length Signalsp. 30
Examplesp. 33
Further Readingp. 36
Exercisesp. 36
Signals and Hilbert Spacesp. 37
Euclidean Geometry: a Reviewp. 38
From Vector Spaces to Hilbert Spacesp. 41
The Recipe for Hilbert Spacep. 42
Examples of Hilbert Spacesp. 45
Inner Products and Distancesp. 46
Subspaces, Bases, Projectionsp. 47
Definitionsp. 48
Properties of Orthonormal Basesp. 49
Examples of Basesp. 51
Signal Spaces Revisitedp. 53
Finite-Length Signalsp. 53
Periodic Signalsp. 53
Infinite Sequencesp. 54
Further Readingp. 55
Exercisesp. 55
Fourier Analysisp. 59
Preliminariesp. 60
Complex Exponentialsp. 61
Complex Oscillations? Negative Frequencies?p. 61
The DFT (Discrete Fourier Transform)p. 63
Matrix Formp. 64
Explicit Formp. 64
Physical Interpretationp. 67
The DFS (Discrete Fourier Series)p. 71
The DTFT (Discrete-Time Fourier Transform)p. 72
The DTFT as the Limit of a DFSp. 75
The DTFT as a Formal Change of Basisp. 77
Relationships between Transformsp. 81
Fourier Transform Propertiesp. 83
DTFT Propertiesp. 83
DFS Propertiesp. 85
DFT Propertiesp. 86
Fourier Analysis in Practicep. 90
Plotting Spectral Datap. 91
Computing the Transform: the FFTp. 93
Cosmetics: Zero-Paddingp. 94
Spectral Analysisp. 95
Time-Frequency Analysisp. 98
The Spectrogramp. 98
The Uncertainty Principlep. 100
Digital Frequency vs. Real Frequencyp. 101
Examplesp. 102
Further Readingp. 105
Exercisesp. 106
Discrete-Time Filtersp. 109
Linear Time-Invariant Systemsp. 109
Filtering in the Time Domainp. 111
The Convolution Operatorp. 111
Properties of the Impulse Responsep. 113
Filtering by Example - Time Domainp. 115
FIR Filteringp. 115
IIR Filteringp. 117
Filtering in the Frequency Domainp. 121
LTI "Eigenfunctions"p. 121
The Convolution and Modulation Theoremsp. 122
Properties of the Frequency Responsep. 123
Filtering by Example - Frequency Domainp. 126
Ideal Filtersp. 129
Realizable Filtersp. 133
Constant-Coefficient Difference Equationsp. 134
The Algorithmic Nature of CCDEsp. 135
Filter Analysis and Designp. 136
Examplesp. 136
Further Readingp. 143
Exercisesp. 143
The Z-Transformp. 147
Filter Analysisp. 148
Solving CCDEsp. 148
Causalityp. 149
Region of Convergencep. 150
ROC and System Stabilityp. 152
ROC of Rational Transfer Functions and Filter Stabilityp. 152
The Pole-Zero Plotp. 152
Pole-Zero Patternsp. 153
Pole-Zero Cancellationp. 154
Sketching the Transfer Function from the Pole-Zero Plotp. 155
Filtering by Example - Z-Transformp. 156
Examplesp. 157
Further Readingp. 159
Exercisesp. 159
Filter Designp. 165
Design Fundamentalsp. 165
FIR versus IIRp. 166
Filter Specifications and Tradeoffsp. 168
FIR Filter Designp. 171
FIR Filter Design by Windowingp. 171
Minimax FIR Filter Designp. 179
IIR Filter Designp. 190
All-Time Classicsp. 191
Filter Structuresp. 195
FIR Filter Structuresp. 196
IIR Filter Structuresp. 197
Some Remarks on Numerical Stabilityp. 200
Filtering and Signal Classesp. 200
Filtering of Finite-Length Signalsp. 200
Filtering of Periodic Sequencesp. 201
Examplesp. 204
Further Readingp. 208
Exercisesp. 208
Stochastic Signal Processingp. 217
Random Variablesp. 217
Random Vectorsp. 219
Random Processesp. 221
Spectral Representation of Stationary Random Processesp. 223
Power Spectral Densityp. 224
PSD of a Stationary Processp. 225
White Noisep. 227
Stochastic Signal Processingp. 227
Examplesp. 229
Further Readingp. 232
Exercisesp. 233
Interpolation and Samplingp. 235
Preliminaries and Notationp. 236
Continuous-Time Signalsp. 237
Bandlimited Signalsp. 239
Interpolationp. 240
Local Interpolationp. 241
Polynomial Interpolationp. 243
Sinc Interpolationp. 245
The Sampling Theoremp. 247
Aliasingp. 250
Non-Bandlimited Signalsp. 250
Aliasing: Intuitionp. 251
Aliasing: Proofp. 253
Aliasing: Examplesp. 255
Discrete-Time Processing of Analog Signalsp. 260
A Digital Differentiatorp. 260
Fractional Delaysp. 261
Examplesp. 262
Appendixp. 266
Further Readingp. 268
Exercisesp. 269
A/D and D/A Conversionsp. 275
Quantizationp. 275
Uniform Scalar Quantizationp. 278
Advanced Quantizersp. 282
A/D Conversionp. 283
D/A Conversionp. 286
Examplesp. 287
Further Readingp. 290
Exercisesp. 290
Multirate Signal Processingp. 293
Downsamplingp. 294
Properties of the Downsampling Operatorp. 294
Frequency-Domain Representationp. 295
Examplesp. 297
Downsampling and Filteringp. 302
Upsamplingp. 304
Upsampling and Interpolationp. 306
Rational Sampling Rate Changesp. 310
Oversamplingp. 311
Oversampled A/D Conversionp. 311
Oversampled D/A Conversionp. 314
Examplesp. 319
Further Readingp. 322
Exercisesp. 322
Design of a Digital Communication Systemp. 327
The Communication Channelp. 328
The AM Radio Channelp. 329
The Telephone Channelp. 330
Modem Design: The Transmitterp. 331
Digital Modulation and the Bandwidth Constraintp. 331
Signaling Alphabets and the Power Constraintp. 339
Modem Design: the Receiverp. 347
Hilbert Demodulationp. 348
The Effects of the Channelp. 350
Adaptive Synchronizationp. 353
Carrier Recoveryp. 353
Timing Recoveryp. 356
Further Readingp. 365
Exercisesp. 365
Indexp. 367
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