Signal Processing for Communications

by Prandoni; Paolo

• ISBN13: 9781420070460
• ISBN10: 1420070460
• Format: Hardcover
• Copyright: 2008-08-19
• Publisher: EFPL Press

Summary

Taking a novel, less 'œclassical' 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

Preface	p. vii
What Is Digital Signal Processing?	p. 1
Some History and Philosophy	p. 2
Digital Signal Processing under the Pyramids	p. 2
The Hellenic Shift to Analog Processing	p. 4
"Gentlemen: calculemus!"	p. 5
Discrete Time	p. 7
Discrete Amplitude	p. 10
Communication Systems	p. 12
How to Read this Book	p. 17
Further Reading	p. 18
Discrete-Time Signals	p. 19
Basic Definitions	p. 19
The Discrete-Time Abstraction	p. 21
Basic Signals	p. 23
Digital Frequency	p. 25
Elementary Operators	p. 26
The Reproducing Formula	p. 27
Energy and Power	p. 27
Classes of Discrete-Time Signals	p. 28
Finite-Length Signals	p. 29
Infinite-Length Signals	p. 30
Examples	p. 33
Further Reading	p. 36
Exercises	p. 36
Signals and Hilbert Spaces	p. 37
Euclidean Geometry: a Review	p. 38
From Vector Spaces to Hilbert Spaces	p. 41
The Recipe for Hilbert Space	p. 42
Examples of Hilbert Spaces	p. 45
Inner Products and Distances	p. 46
Subspaces, Bases, Projections	p. 47
Definitions	p. 48
Properties of Orthonormal Bases	p. 49
Examples of Bases	p. 51
Signal Spaces Revisited	p. 53
Finite-Length Signals	p. 53
Periodic Signals	p. 53
Infinite Sequences	p. 54
Further Reading	p. 55
Exercises	p. 55
Fourier Analysis	p. 59
Preliminaries	p. 60
Complex Exponentials	p. 61
Complex Oscillations? Negative Frequencies?	p. 61
The DFT (Discrete Fourier Transform)	p. 63
Matrix Form	p. 64
Explicit Form	p. 64
Physical Interpretation	p. 67
The DFS (Discrete Fourier Series)	p. 71
The DTFT (Discrete-Time Fourier Transform)	p. 72
The DTFT as the Limit of a DFS	p. 75
The DTFT as a Formal Change of Basis	p. 77
Relationships between Transforms	p. 81
Fourier Transform Properties	p. 83
DTFT Properties	p. 83
DFS Properties	p. 85
DFT Properties	p. 86
Fourier Analysis in Practice	p. 90
Plotting Spectral Data	p. 91
Computing the Transform: the FFT	p. 93
Cosmetics: Zero-Padding	p. 94
Spectral Analysis	p. 95
Time-Frequency Analysis	p. 98
The Spectrogram	p. 98
The Uncertainty Principle	p. 100
Digital Frequency vs. Real Frequency	p. 101
Examples	p. 102
Further Reading	p. 105
Exercises	p. 106
Discrete-Time Filters	p. 109
Linear Time-Invariant Systems	p. 109
Filtering in the Time Domain	p. 111
The Convolution Operator	p. 111
Properties of the Impulse Response	p. 113
Filtering by Example - Time Domain	p. 115
FIR Filtering	p. 115
IIR Filtering	p. 117
Filtering in the Frequency Domain	p. 121
LTI "Eigenfunctions"	p. 121
The Convolution and Modulation Theorems	p. 122
Properties of the Frequency Response	p. 123
Filtering by Example - Frequency Domain	p. 126
Ideal Filters	p. 129
Realizable Filters	p. 133
Constant-Coefficient Difference Equations	p. 134
The Algorithmic Nature of CCDEs	p. 135
Filter Analysis and Design	p. 136
Examples	p. 136
Further Reading	p. 143
Exercises	p. 143
The Z-Transform	p. 147
Filter Analysis	p. 148
Solving CCDEs	p. 148
Causality	p. 149
Region of Convergence	p. 150
ROC and System Stability	p. 152
ROC of Rational Transfer Functions and Filter Stability	p. 152
The Pole-Zero Plot	p. 152
Pole-Zero Patterns	p. 153
Pole-Zero Cancellation	p. 154
Sketching the Transfer Function from the Pole-Zero Plot	p. 155
Filtering by Example - Z-Transform	p. 156
Examples	p. 157
Further Reading	p. 159
Exercises	p. 159
Filter Design	p. 165
Design Fundamentals	p. 165
FIR versus IIR	p. 166
Filter Specifications and Tradeoffs	p. 168
FIR Filter Design	p. 171
FIR Filter Design by Windowing	p. 171
Minimax FIR Filter Design	p. 179
IIR Filter Design	p. 190
All-Time Classics	p. 191
Filter Structures	p. 195
FIR Filter Structures	p. 196
IIR Filter Structures	p. 197
Some Remarks on Numerical Stability	p. 200
Filtering and Signal Classes	p. 200
Filtering of Finite-Length Signals	p. 200
Filtering of Periodic Sequences	p. 201
Examples	p. 204
Further Reading	p. 208
Exercises	p. 208
Stochastic Signal Processing	p. 217
Random Variables	p. 217
Random Vectors	p. 219
Random Processes	p. 221
Spectral Representation of Stationary Random Processes	p. 223
Power Spectral Density	p. 224
PSD of a Stationary Process	p. 225
White Noise	p. 227
Stochastic Signal Processing	p. 227
Examples	p. 229
Further Reading	p. 232
Exercises	p. 233
Interpolation and Sampling	p. 235
Preliminaries and Notation	p. 236
Continuous-Time Signals	p. 237
Bandlimited Signals	p. 239
Interpolation	p. 240
Local Interpolation	p. 241
Polynomial Interpolation	p. 243
Sinc Interpolation	p. 245
The Sampling Theorem	p. 247
Aliasing	p. 250
Non-Bandlimited Signals	p. 250
Aliasing: Intuition	p. 251
Aliasing: Proof	p. 253
Aliasing: Examples	p. 255
Discrete-Time Processing of Analog Signals	p. 260
A Digital Differentiator	p. 260
Fractional Delays	p. 261
Examples	p. 262
Appendix	p. 266
Further Reading	p. 268
Exercises	p. 269
A/D and D/A Conversions	p. 275
Quantization	p. 275
Uniform Scalar Quantization	p. 278
Advanced Quantizers	p. 282
A/D Conversion	p. 283
D/A Conversion	p. 286
Examples	p. 287
Further Reading	p. 290
Exercises	p. 290
Multirate Signal Processing	p. 293
Downsampling	p. 294
Properties of the Downsampling Operator	p. 294
Frequency-Domain Representation	p. 295
Examples	p. 297
Downsampling and Filtering	p. 302
Upsampling	p. 304
Upsampling and Interpolation	p. 306
Rational Sampling Rate Changes	p. 310
Oversampling	p. 311
Oversampled A/D Conversion	p. 311
Oversampled D/A Conversion	p. 314
Examples	p. 319
Further Reading	p. 322
Exercises	p. 322
Design of a Digital Communication System	p. 327
The Communication Channel	p. 328
The AM Radio Channel	p. 329
The Telephone Channel	p. 330
Modem Design: The Transmitter	p. 331
Digital Modulation and the Bandwidth Constraint	p. 331
Signaling Alphabets and the Power Constraint	p. 339
Modem Design: the Receiver	p. 347
Hilbert Demodulation	p. 348
The Effects of the Channel	p. 350
Adaptive Synchronization	p. 353
Carrier Recovery	p. 353
Timing Recovery	p. 356
Further Reading	p. 365
Exercises	p. 365
Index	p. 367
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