数字信号处理入门经典:科学家与工程师指南

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"The Scientist and Engineer's Guide to Digital Signal Processing" 是一本专注于数字信号处理的教材,第二版,作者是 Steven W. Smith,由 California Technical Publishing 出版。该书的官方网站为 www.DSPguide.com。 本书旨在提供数字信号处理的基础知识,通过科学和工程领域的实例帮助读者直观地理解各种变换和运算。作者强调,虽然书中概念和数据被认为是准确无误的,但不应在未经适当验证的情况下直接用于任何应用。在可能造成人身伤害或财产损失的场合,必须进行充分且详尽的测试。书中的内容仅用作教学辅助工具,并不保证或声明适合解决特定问题,因此,作者、出版商和分销商不提供任何明示或暗示的保证。 数字信号处理(DSP)是一门涉及数字信号的获取、分析、修改和利用的技术。它在通信、音频处理、图像处理、生物医学工程等领域有广泛应用。本书可能涵盖以下关键知识点: 1. **信号的基本概念**:包括模拟信号与数字信号的区别,以及信号的分类(如连续时间信号与离散时间信号,周期信号与非周期信号)。 2. **采样理论**:奈奎斯特定理阐述了无损地将模拟信号转换为数字信号所需的最小采样率,以及防止混叠的重要性。 3. **数字滤波器设计**:介绍IIR(无限 impulse response)和FIR(有限 impulse response)滤波器的设计方法,如巴特沃兹滤波器、切比雪夫滤波器等。 4. **傅立叶变换**:讲解离散傅立叶变换(DFT)及其快速算法FFT(快速傅立叶变换),以及傅立叶变换在频域分析中的作用。 5. **数字信号的运算**:包括加法、乘法、卷积、相关等基本运算,以及它们在信号处理中的应用。 6. **信号恢复与重建**:探讨如何从采样数据恢复原始信号,以及插值和量化对信号质量的影响。 7. **数字调制与解调技术**:介绍ASK、FSK、PSK等数字调制方式,以及相应的解调方法。 8. **谱分析**:讲解功率谱密度、自相关函数等,以及如何分析信号的频谱特性。 9. **数字信号处理系统**:讨论硬件和软件实现,如DSP芯片、FPGA、嵌入式系统在数字信号处理中的应用。 10. **实用案例**:书中可能包含实际工程问题的案例研究,如语音识别、图像压缩、噪声消除等。 通过阅读本书,读者不仅可以学习到数字信号处理的基本原理,还能掌握将这些原理应用于实际问题的方法。书中直观的解释和实例有助于增强读者对这一复杂领域的理解和应用能力。
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http://www.dspguide.com/pdfbook.htm FOUNDATIONS Chapter 1 - The Breadth and Depth of DSP The Roots of DSP Telecommunications Audio Processing Echo Location Image Processing Chapter 2 - Statistics, Probability and Noise Signal and Graph Terminology Mean and Standard Deviation Signal vs. Underlying Process The Histogram, Pmf and Pdf The Normal Distribution Digital Noise Generation Precision and Accuracy Chapter 3 - ADC and DAC Quantization The Sampling Theorem Digital-to-Analog Conversion Analog Filters for Data Conversion Selecting The Antialias Filter Multirate Data Conversion Single Bit Data Conversion Chapter 4 - DSP Software Computer Numbers Fixed Point (Integers) Floating Point (Real Numbers) Number Precision Execution Speed: Program Language Execution Speed: Hardware Execution Speed: Programming Tips FUNDAMENTALS Chapter 5 - Linear Systems Signals and Systems Requirements for Linearity Static Linearity and Sinusoidal Fidelity Examples of Linear and Nonlinear Systems Special Properties of Linearity Superposition: the Foundation of DSP Common Decompositions Alternatives to Linearity Chapter 6 - Convolution The Delta Function and Impulse Response Convolution The Input Side Algorithm The Output Side Algorithm The Sum of Weighted Inputs Chapter 7 - Properties of Convolution Common Impulse Responses Mathematical Properties Correlation Speed Chapter 8 - The Discrete Fourier Transform The Family of Fourier Transform Notation and Format of the Real DFT The Frequency Domain's Independent Variable DFT Basis Functions Synthesis, Calculating the Inverse DFT Analysis, Calculating the DFT Duality Polar Notation Polar Nuisances Chapter 9 - Applications of the DFT Spectral Analysis of Signals Frequency Response of Systems Convolution via the Frequency Domain Chapter 10 - Fourier Transform Properties Linearity of the Fourier Transform Characteristics of the Phase Periodic Nature of the DFT Compression and Expansion, Multirate methods Multiplying Signals (Amplitude Modulation) The Discrete Time Fourier Transform Parseval's Relation Chapter 11 - Fourier Transform Pairs Delta Function Pairs The Sinc Function Other Transform Pairs Gibbs Effect Harmonics Chirp Signals Chapter 12 - The Fast Fourier Transform Real DFT Using the Complex DFT How the FFT works FFT Programs Speed and Precision Comparisons Further Speed Increases Chapter 13 - Continuous Signal Processing The Delta Function Convolution The Fourier Transform The Fourier Series DIGITAL FILTERS Chapter 14 - Introduction to Digital Filters Filter Basics How Information is Represented in Signals Time Domain Parameters Frequency Domain Parameters High-Pass, Band-Pass and Band-Reject Filters Filter Classification Chapter 15 - Moving Average Filters Implementation by Convolution Noise Reduction vs. Step Response Frequency Response Relatives of the Moving Average Filter Recursive Implementation Chapter 16 - Windowed-Sinc Filters Strategy of the Windowed-Sinc Designing the Filter Examples of Windowed-Sinc Filters Pushing it to the Limit Chapter 17 - Custom Filters Arbitrary Frequency Response Deconvolution Optimal Filters Chapter 18 - FFT Convolution The Overlap-Add Method FFT Convolution Speed Improvements Chapter 19 - Recursive Filters The Recursive Method Single Pole Recursive Filters Narrow-band Filters Phase Response Using Integers Chapter 20 - Chebyshev Filters The Chebyshev and Butterworth Responses Designing the Filter Step Response Overshoot Stability Chapter 21 - Filter Comparison Match #1: Analog vs. Digital Filters Match #2: Windowed-Sinc vs. Chebyshev Match #3: Moving Average vs. Single Pole APPLICATIONS Chapter 22 - Audio Processing Human Hearing Timbre Sound Quality vs. Data Rate High Fidelity Audio Companding Speech Synthesis and Recognition Nonlinear Audio Processing Chapter 23 - Image Formation & Display Digital Image Structure Cameras and Eyes Television Video Signals Other Image Acquisition and Display Brightness and Contrast Adjustments Grayscale Transforms Warping Chapter 24 - Linear Image Processing Convolution 3x3 Edge Modification Convolution by Separability Example of a Large PSF: Illumination Flattening Fourier Image Analysis FFT Convolution A Closer Look at Image Convolution Chapter 25 - Special Imaging Techniques Spatial Resolution Sample Spacing and Sampling Aperture Signal-to-Noise Ratio Morphological Image Processing Computed Tomography Chapter 26 - Neural Networks (and more!) Target Detection Neural Network Architecture Why Does it Work? Training the Neural Network Evaluating the Results Recursive Filter Design Chapter 27 - Data Compression Data Compression Strategies Run-Length Encoding Huffman Encoding Delta Encoding LZW Compression JPEG (Transform Compression) MPEG Chapter 28 - Digital Signal Processors How DSPs are Different from Other Microprocessors Circular Buffering Architecture of the Digital Signal Processor Fixed versus Floating Point C versus Assembly How Fast are DSPs? The Digital Signal Processor Market Chapter 29 - Getting Started with DSPs The ADSP-2106x family The SHARC EZ-KIT Lite Design Example: An FIR Audio Filter Analog Measurements on a DSP System Another Look at Fixed versus Floating Point Advanced Software Tools COMPLEX TECHNIQUES Chapter 30 - Complex Numbers The Complex Number System Polar Notation Using Complex Numbers by Substitution Complex Representation of Sinusoids Complex Representation of Systems Electrical Circuit Analysis Chapter 31 - The Complex Fourier Transform The Real DFT Mathematical Equivalence The Complex DFT The Family of Fourier Transforms Why the Complex Fourier Transform is Used Chapter 32 - The Laplace Transform The Nature of the s-Domain Strategy of the Laplace Transform Analysis of Electric Circuits The Importance of Poles and Zeros Filter Design in the s-Domain Chapter 33 - The z-Transform The Nature of the z-Domain Analysis of Recursive Systems Cascade and Parallel Stages Spectral Inversion Gain Changes Chebyshev-Butterworth Filter Design The Best and Worst of DSP Chapter 34 - Explaining Benford's Law Frank Benford's Discovery Homomorphic Processing The Ones Scaling Test Writing Benford's Law as a Convolution Solving in the Frequency Domain Solving Mystery #1 Solving Mystery #2 More on Following Benford's law Analysis of the Log-Normal Distribution The Power of Signal Processing copyright � 1997-2007 by California Technical Pub