本书在Joyce Van de Vegte所著Fundamentals of Digital Signal Processing的基础上进行了缩减，针对本科教学大纲，删除了教学中一般不涉及的内容，修订了部分印刷错误，并增加了循环卷积的内容，使教材的内容更完整。全书在概述了数字信号的产生、定义和处理实例之后，详细讨论了差分方程、数字卷积、z变换、离散时间傅里叶变换和傅里叶级数、数字滤波器、传输函数、频率响应、频谱、无限和有限脉冲响应数字滤波器的设计以及离散傅里叶变换和快速傅里叶变换、循环卷积等基本概念和基本理论。书中涉及的数学知识以简明形式给出，深入浅出，易于理解。本书示例丰富，并附有大量的例题和习题。

本书在Joyce Van de Vegte所著Fundamentals 0f Distal Signal Processing的基础上进行了缩减，针对本科教学大纲，删除了教学中一般不涉及的内容，修订了部分印刷错误，并增加了循环卷积的内容，使教材的内容更完整。全书在概述了数字信号的产生、定义和处理实例之后，详细讨论了差分方程、数字卷积、z变换、离散时间傅里叶变换和傅里叶级数、数字滤波器、传输函数、频率响应、频谱、无限和有限脉冲响应数字滤波器的设计以及离散傅里叶变换和快速傅里叶变换、循环卷积等基本概念和基本理论。书中涉及的数学知识以简明形式给出，深入浅出，易于理解。本书示例丰富，并附有大量的例题和习题。

本书可作为理工类大专院校电子、计算机、通信等专业的本科生双语教学教材，对于DSP领域的工程技术人员也有很好的参考价值。

Chapter 1 Crash Course in Digital Signal Processing

1.1 Signals and Systems

1.2 Analog-to-Digital and Digital-to-Analog Conversions

1.3 Digital Signals and Their Spectra

1.4 Digital Filtering

1.5 Speech, Music, Images, and More

Chapter Summary

Review Questions

Chapter 2 Analog-to-Digital and Digital-to-Analog Conversion

2.1 A Simple DSP System

2.2 Sampling

2.2.1 Nyquist Sampling Theory

2.2.2 The Frequency View of Sampling

2.3 Quantization

2.4 Analog-to-Digital Conversion

2.5 Digital-to-Analog Conversion

Chapter Summary

Review Questions

Chapter 3 Digital Signals

3.1 Pictures of Digital Signals

3.2 Notation for Digital Signals

3.3 Digital Functions

3.3.1 Impulse Functions

3.3.2 Step Functions

3.3.3 Power and Exponential Functions

3.3.4 Sine and Cosine Functions

3.4 Composite Functions

3.5 Two-Dimensional Digital Signals

Chapter Summary

Review Questions

Chapter 4 Difference Equations and Filtering

4.1 Filtering Basics

4.2 Analog Filters versus Digital Filters

4.3 Linear, Time-Invariant, Causal Systems

4.4 Difference Equation Structure

4.5 Superposition

4.6 Difference Equation Diagrams

4.6.1 Nonrecursive Difference Equations

4.6.2 Recursive Difference Equations

4.7 The Impulse Response

4.8 The Step Response

Chapter Summary

Review Questions

Chapter5 Convolution and Filtering

5.1 Convolution Basics

5.2 Difference Equations and Convolution

5.3 Moving Average Filters

5.4 Filtering Digital Images

Chapter Summary

Review Questions

Chapter 6 zTransforms

6.1 z Transform Basics

6.2 Transfer Functions

6.2.1 Transfer Functions and Difference Equations

6.2.2 Transfer Functions and Impulse Responses

6.2.3 Finding Filter Outputs

6.2.4 Cascade and Parallel Combinations of Transfer Functions

6.3 Back to the Time Domain

6.3.1 Standard Form

6.3.2 Simple Inverse z Transforms

6.3.3 Inverse z Transforms by Long Division

6.3.4 Inverse z Transforms by Partial Fraction Expansion

6.4 Transfer Functions and Stability

6.4.1 Poles and Zeros

6.4.2 Stability

6.4.3 First Order Systems

6.4.4 Second Order Systems

Chapter Summary

Review Questions

Chapter 7 Fourier Transforms and Filter Shape

7.1 Fourier Transform Basics

7.2 Frequency Responses and Other Forms

7.2.1 Frequency Responses and Difference Equations

7.2.2 Frequency Responses and Transfer Functions

7.2.3 Frequency Responses and Impulse Responses

7.3 Frequency Response and Filter Shape

7.3.1 Filter Effects on Sine Wave Inputs

7.3.2 Magnitude Response and Phase Response

7.3.3 Analog Frequency fend Digital Frequency

7.3.4 Filter Shape from Poles and Zeros

7.3.5 First Order Filters

7.3.6 Second Order Filters

Chapter Summary

Review Questions

Chapter 8 Digital Signal Spectra

8.1 The Meaning of the Spectrum

8.2 Nonperiodic Digital Signals

8.3 Periodic Digital Signals

Chapter Summary

Review Questions

Chapter 9 Finite Impulse Response Filters

9.1 Finite Impulse Response Filter Basics

9.2 Moving Average Filters Revisited

9.3 Phase Distortion

9.4 Approximating an Ideal Low Pass Filter

9.5 Windows

9.5.1 Rectangular Window

9.5.2 Hanning Window

9.5.3 Hamming Window

9.5.4 Blackman Window

9.5.5 Kaiser Window

9.6 Low Pass FIR Filter Design

9.6.1 Design Guidelines

9.6.2 Steps for Low Pass FIR Filter Design

9.7 Band Pass and High Pass FIR Filters

9.8 Band Stop FIR Filters

9.9 Equiripple FIR Filter Design

9.10 Hazards of Practical FIR Filters

Chapter Summary

Review Questions

Chapter 10 Infinite Impulse Response Filters

10.1 Infinite Impulse Response Filter Basics

10.2 Low Pass Analog Filters

10.3 Bilinear Transformation

10.4 Butterworth Filter Design

10.5 Chebyshev Type I Filter Design

10.6 Impulse Invariance IIR Filter Design

10.7 "Best Fit" Filter Design

10.8 Band Pass, High Pass, and Band Stop IIR Filters

10.9 Hazards of Practical IIR Filters

Chapter Summary

Review Questions

Chapter 11 DFT and FFT Processing

11.1 DFT Basics

11.2 Relationship to Fourier Transform

11.3 Relationship to Fourier Series

11.4 DFF Window Effects

11.5 Spectrograms

11.6 FFT Basics

11.7 2D DFT/FFT

Chapter Summary

Review Questions

Chapter 12 Signal Processing

12.1 Digital Audio

12.1.1 Digital Audio Basics

12.1.2 Oversampling and Decimation

12.1.3 Zero Insertion and Interpolation

12.1.4 Dithering and Companding

12.1.5 Audio Processing

12.2 Speech Recognition

12.3 Voice and Music Synthesis

Chapter Summary

References

Appendix A The Math You Need

A.I Functions

A.2 Degrees and Radians

A.3 Rational Functions

A.4 Lowest Terms

A.5 Lowest Common Multiple

A.6 Reciprocals

A.7 Logarithms

A.8 Power and Exponential Functions

A.9 Sinusoidal Function

A.10 Decibels

A. 11 Decimal, Binary, and Hexadecimal Number Systems

A.12 Area and Perimeter

A. 13 Complex Numbers

A.14 Absolute Value

A.15 Quadratic Formula

A.16 ∑ Sums

Appendix B Signal-to-Noise Ratio

Appendix C Direct Form 2 Realization of Recursive Filters

Appendix D Convolution in the Time Domain and Multiplication in the Frequency Domain

Appendix E Scaling Factor in Discrete Fourier Series and Discrete Fourier Transform

Appendix F Inverse Discrete Time Fourier Transform

Appendix G Impulse Response of Ideal Low Pass Filter

Appendix H Sampling Property

Appendix I Spectrum of Digital Cosine Signal

Appendix J Spectrum of Impulse Train

Appendix K Spectral Effects of Sampling

Appendix L Butterworth Recursive Filter Order

Appendix M Chebyshev Type I Recursive Filter Order

Appendix N Circular Convolution

N.1 Periodic Signals and Their Representations

N.2 Circular Shift

N.3 Circular Reversal

N.4 Circular Convolution

N.5 Circular Convolution Theorem

N.6 Implementation of the Linear Convolution of Two Finite-Length Sequences Using the FFT