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 LTI Systems
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
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
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