1 INTRODUCTION 1
Overview of Digital Signal Processing 2
A Few Words about MATLAB 5
2 DISCRETE-TIME SIGNALS AND SYSTEMS
Discrete-time Signals 7
Discrete Systems 20
Convolution 22
Difference Equations 29
Problems 35
3 THE DISCRETE-TIME FOURIER ANALYSIS 40
The Discrete-time Fourier Transform (DTFT) 40
The Properties of the DTFT 47
The Frequency Domain Representation of LTl
systems 53
Sampling and Reconstruction of Analog Signals 60
Problems 74
4 THE z-TRANSFORM 80
The Bilateral z-Transform 80
Important Properties of the z-Transform 84
Inversion of the z-Transform 8g
System Representation in the z-Domain 95
Solutions of the Difference Equations 105
Problems 111
5 THE DISCRETE FOURIER TRANSFORM 116
The Discrete Fourier Series 117
Sampling and Reconstruction in the z-Domain 124
The Discrete Fourier Transform 12g
Properties of the Discrete Fourier Transform 13g
Linear Convolution using the DFT 154
The Fast Fourier Transform 160
Problems 172
6 DIGITAL FILTER STRUCTURES 182
Basic Elements 183
IIR Filter Structures 183
FIR Filter Structures 197
Lattice Filter Structures 208
Problems 219
7 FIR FILTER DESIGN 224
Preliminaries 224
Properties of Linear-phase FIR Filters 228
Window Design Techniques 243
Frequency Sampling Design Techniques 264
Optimal Equiripple Design Technique 277
Problems 294
8 IIR FILTER DESIGN 301
Some Preliminaries 302
Characteristics of Prototype Analog Filters 305
Analog-to-Digital Filter Transformations 327
Lowpass Filter Design Using MATLAB 345
Frequency-band Transformations 350
Comparison of FIR vs. IIR Filters 363
Problems 364
9 APPLICATIONS IN ADAPTIVE FILTERING 371
LMS Algorithm for Coefficient Adjustment 373
System Identification or System Modeling 376
Suppression of Narrowband Interference in a
Wideband Signal 377
Adaptive Lin Adaptive Channel Equalization 380
Summary 383
10 APPLICATIONS IN COMMUNICATIONS 384
Pulse-Code Modulation 384
Differential PCM (DPCM) 388
Adaptive PCM and DPCM (ADPCM) 392
Delta Modulation (DM) 396
Linear Predictive Coding (LPC) of Speech 399
Dual-tone Multifrequency (DTMF) Signals 403
Binary Digital Communications 408
Spread-Spectrum Communications 409
Summary 411
BIBLIOGRAPHY 412
INDEX 413
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