內容大鋼
本書在Richard G. Lyons所著Understanding Digital Signal Processing, Second Edition的基礎上進行了改編，針對通信類學校本科教學大綱，刪除了教學中一般不涉及的內容，調整了章節順序，並增加了z反變換、濾波器結構、線性相位FIR濾波器和其結構、模擬濾波器簡介的內容，使教內容材更加完整。全書在概述了離散序列和系統的定義和實例之後，詳細討論了離散系統的特性、信號的離散化和離散卷積、z變換、離散時間傅里葉變換和離散傅里葉變換、快速傅里葉變換、數字濾波器結構、以及有限和無限脈衝響應數字濾波器的設計等基本概念和基本理論。書中涉及的數學知識以簡明形式給出，深入淺出，易於理解。本書每章都增加了例題、習題和MATLAB例題，以便加強對每章內容的理解和掌握。
目錄
Chapter 1 Discrete Sequences and Systems
1.1 Discrete Sequences and Their Notation
1.1.1 Discrete-time Signals
1.1.2 Frequently Used Discrete Sequences
1.2 Signal Amplitude, Magnitude, Power
1.3 Signal Processing Operational Symbols
1.4 Introduction to Discrete Linear Time-Invariant Systems
1.5 Discrete Linear Systems
1.5.1 Example of a Linear System
1.5.2 Example of a Nonlinear System
1.6 Time-Invariant Systems
1.6.1 Example of a Time-Invariant System
1.7 The Commutative Property of Linear Time-Invariant Systems
1.8 The Causality Property of Linear Time-Invariant Systems
1.9 The Stability Property of Linear Time-Invariant Systems
1.10 Analyzing Linear Time-Invariant Systems
1.11 Problems
1.12 MATLAB Applications
1.12.1 Applications
1.12.2 Examples
1.12.3 Exercises
Chapter 2 Periodic Sampling
2.1 Aliasing: Signal Ambiguity in the Frequency Domain
2.2 Sampling Low-Pass Signals
2.3 A Generic Description of Discrete Convolution
2.3.1 Discrete Convolution in the Time Domain
2.3.2 The Convolution Theorem
2.3.3 Applying the Convolution Theorem
2.4 Problems
2.5 MATLAB Applications
2.5.1 Applications
2.5.2 Examples
2.5.3 Exercises
Chapter 3 Z-Transform
3.1 The z-Transform
3.1.1 Poles and Zeros on the z-Plane and Stability
3.1.2 The ROC of z-Transform
3.1.3 The Properties of z-Transform
3.2 The Inverse z-Transform
3.2.1 General Expression of Inverse z-Transform
3.2.2 Inverse z-Transform by Partial-Fraction Expansion
3.3 Problems
3.4 MATLAB Applications
3.4.1 Applications
3.4.2 Examples
3.4.3 Exercises
Chapter 4 The Discrete Fourier Transform
4.1 Interpreting the DFT
4.2 Understanding the DFT Equation
4.2.1 DFT Example 1
4.3 DFT Properties
4.3.1 DFT Symmetry
4.3.2 DFT Linearity
4.3.3 DFT Magnitudes
4.3.4 DFT Frequency Axis
4.3.5 DFT Shifting Theorem
4.4 Inverse DFT
4.5 DFT Leakage
4.6 Windows
4.7 DFT Resolution, Zero Padding, and Frequency-Domain Sampling
4.8 Frequency Response
4.9 Problems
4.10 MATLAB Applications
4.10.1 Applications
4.10.2 Examples
4.10.3 Exercises
Chapter 5 The Fast Fourier Transform
5.1 Relationship of the FFT to the DFT
5.2 FFT Algorithm
5.3 Derivation of the Radix-2 FFT Algorithm
5.4 FFT Input/Output Data Index Bit Reversal
5.5 Radix-2 FFT Butterfly Structures
5.6 Efficiently Performing the FFT of Real Sequences
5.6.1 Performing Two N-Point Real FFTs
5.6.2 Performing a 2N-Point Real FFT
5.7 Discrete Convolution using FFT
5.7.1 Overlap-added
5.7.2 Overlap-saved
5.8 IFFT Algorithm
5.9 Problems
5.10 MATLAB Applications
5.10.1 Applications
5.10.2 Examples
5.10.3 Exercises
Chapter 6 Filter Structure
6.1 Block Structure
6.2 Mason and Transpose Theorem
6.2.1 Mason's Rule
6.2.2 Transpose Theorem
6.3 Example of Filter Structures
6.3.1 IIR Filter Structure
6.3.2 FIR Direct Structure
6.3.3 FIR Cascade Structure
6.4 Problems
6.5 MATLAB Applications
6.5.1 Applications
6.5.2 Examples
6.5.3 Exercises
Chapter 7 Finite Impulse Response Filters
7.1 An Introduction to Finite Impulse Response (FIR) Filters
7.2 Properties of FIR Filters
7.2.1 Convolution in FIR Filters
7.2.2 Linear phase FIR Filter
7.2.3 Linear Phase FIR Filter Structure
7.2.4 FIR Filter Poles and Zeros
7.3 Low-Pass FIR Filter Design
7.3.1 Window Design Method
7.3.2 Windows Used in FIR Filter Design
7.3.3 Examples to Design Linear Phase Low-Pass FIR Filter
7.4 Examples to Design Other Types Linear Phase FIR Filter
7.5 Problems
7.6 MATLAB Exercises
7.6.1 Applications
7.6.2 Examples
7.6.3 Exercises
Chapter 8 Infinite Impulse Response Filters
8.1 An Introduction to Infinite Impulse Response Filters
8.2 The Laplace Transform
8.2.1 Poles and Zeros on the s-Plane and Stability
8.3 Analog Low-Pass Filters
8.3.1 Introduction
8.3.2 Approximation of analog filter characteristics
8.3.3 Butterworth Approximation
8.3.4 Chebyshev Approximation
8.4 Impulse Invariance IIR Filter Design Method
8.4.1 Impulse Invariance Design Method 1 Example
8.4.2 Impulse Invariance Design Method 2 Example
8.5 Bilinear Transform IIR Filter Design Method
8.5.1 Bilinear Transform Design Example
8.6 Low-Pass IIR Filter Design
8.6.1 Example of Low-Pass IIR Digital Filter Design
8.6.2 A Brief Comparison of IIR and FIR Filters
8.7 Other Types IIR Filter Design
8.8 Problems
8.9 MATLAB Exercises
8.9.1 Functions of IIR Design
8.9.2 Examples
8.9.3 Exercises
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