PREFACE
1 INTRODUCTION
1.1 Overview of Digital Signal Processing
1.2 A Brief Introduction to MATLAB
1.3 Applications of Digital Signal Processing
1.4 Brief Overview of the Book
2 DISCRETE—TIME SIGNALS AND SYSTEMS
2.1 Discrete—time Signals
2.2 Discrete Systems
2.3 Convolution
2.4 Difference Equations
2.5 Problems
3 THE DISCRETE—TIME FOURIER ANALYSIS
3.1 The Discrete—time Fourier Transform (DTFT)
3.2 The Properties of the DTFT
3.3 The Frequency Domain Representation of LTISystems
3.4 Sampling and Reconstruction of Analog Signals
3.5 Problems
4 THE z—TRANSFORM
4.1 The Bilateral z—Transform
4.2 Important Properties of the z—Transform
4.3 Inversion of the z—Transform
4.4 System Representation in the z—Domain
4.5 Solutions of the Difference Equations
4.6 Problems
5 THE DISCRETE FOURIER TRANSFORM
5.1 The Discrete Fourier Series
5.2 Sampling and Reconstruction in the z—Domain
5.3 The Discrete Fourier Transform
5.4 Properties of the Discrete Fourier Transform
5.5 Linear Convolution Using the DFT
5.6 The Fast Fourier Transform
5.7 Problems
6 IMPLEMENTATION OF DISCRETE—TIME FILTERS
6.1 Basic Elements
6.2 IIR Filter Structures
6.3 FIR Filter Structures
6.4 Lattice Filter Structures
6.5 Overview of Finite—Precision Numerical Effects
6.6 Representation of Numbers
6.7 The Process of Quantization and Error Characterizations
6.8 Quantization of Filter Coefficients
6.9 Problems
7 FIR FILTER DESIGN
7.1 Preliminaries 304
7.2 Properties of Linear—phase FIR Filters
7.3 Window Design Techniques
7.4 Frequency Sampling Design Techniques
7.5 Optimal Equiripple Design Technique
7.6 Problems
8 IIR FILTER DESIGN
8.1 Some Preliminaries
8.2 Some Special Filter Types
8.3 Characteristics of Prototype Analog Filters
8.4 Analog—to—Digital Filter Transformations
8.5 Lowpass Filter Design Using MATLAB
8.6 Frequency—band Transformations
8.7 Problems
9 SAMPLING RATE CONVERSION
9.1 Introduction
9.2 Decimation by a Factor D
9.3 Interpolation by a Factor I
9.4 Sampling Rate Conversion by a Rational Factor I/D
9.5 FIR Filter Designs for Sampling Rate Conversion
9.6 FIR Filter Structures for Sampling Rate Conversion
9.7 Problems
10 ROUND—OFF EFFECTS IN DIGITAL FILTERS
10.1 Analysis of A/D Quantization Noise
10.2 Round—off Effects in IIR Digital Filters
10.3 Round—off Effects in FIR Digital Filters
10.4 Problems
BIBLIOGRAPHY