数字信号处理 英文2025|PDF|Epub|mobi|kindle电子书版本百度云盘下载

数字信号处理 英文PDF格式电子书版下载

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1 DISCRETE SEQUENCES AND SYSTEMS1

1.1 Discrete Sequences and Their Notation2

1.2 Signal Amplitude，Magnitude，Power8

1.3 Signal Processing Operational Symbols10

1.4 Introduction to Discrete Linear Time-Invariant Systems12

1.5 Discrete Linear Systems13

1.6 Time-Invariant Systems18

1.7 The Commutative Property of Linear Time-Invariant Systems20

1.8 Analyzing Linear Time-Invariant Systems20

2 PERIODIC SAMPLING23

2.1 Aliasing: Signal Ambiguity in the Frequency Domain23

2.2 Sampling Low-Pass Signals29

2.3 Sampling Bandpass Signals32

2.4 Spectral Inversion in Bandpass Sampling43

3 THE DISCRETE FOURIER TRANSFORM49

3.1 Understanding the DFT Equation50

3.2 DFT Symmetry63

3.3 DFT Linearity65

3.4 DFT Magnitudes66

3.5 DFT Frequency Axis67

3.6 DFT Shifting Theorem68

3.7 Inverse DFT70

3.8 DFT Leakage71

3.9 Windows80

3.10 DFT Scalloping Loss88

3.11 DFT Resolution, Zero Stuffing, and Frequency-Domain Sampling89

3.12 DFT Processing Gain93

3.13 The DFT of Rectangular Functions97

3.14 The DFT Frequency Response to a Complex Input119

3.15 The DFT Frequency Response to a Real Cosine Input123

3.16 The DFT Single-Bin Frequency Response to a Real Cosine Input125

4 THE FAST FOURIER TRANSFORM129

4.1 Relationship of the FFT to the DFT130

4.2 Hints on Using FFTs in Practice131

4.3 FFT Software Programs136

4.4 Derivation of the Radix-2 FFT Algorithm136

4.5 FFT Input/Output Data Index Bit Reversal145

4.6 Radix-2 FFT Butterfly Structures146

5 FINITE IMPULSE RESPONSE FILTERS157

5.1 An Introduction to Finite Impulse Response FIR Filters158

5.2 Convolution in FIR Filters163

5.3 Low-Pass FIR Filter Design174

5.4 Bandpass FIR Filter Design191

5.5 Highpass FIR Filter Design193

5.6 Remez Exchange FIR Filter Design Method194

5.7 Half-Band FIR Filters197

5.8 Phase Response of FIR Filters199

5.9 A Generic Description of Discrete Convolution204

6 INFINITE IMPULSE RESPONSE FILTERS219

6.1 An Introduction to Infinite Impulse Response Filters220

6.2 The Laplace Transform223

6.3 The z-Transform238

6.4 Impulse Invariance IIR Filter Design Method254

6.5 Bilinear Transform IIR Filter Design Method272

6.6 Optimized IIR Filter Design Method284

6.7 Pitfalls in Building IIR Digital Filters286

6.8 Cascade and Parallel Combinations of Digital Filters290

6.9 A Brief Comparison of IIR and FIR Filters292

7 ADVANCED SAMPLING TECHNIQUES297

7.1 Quadrature Sampling297

7.2 Quadrature Sampling with Digital Mixing301

7.3 Digital Resampling303

8 SIGNAL AVERAGING319

8.1 Coherent Averaging320

8.2 Incoherent Averaging327

8.3 Averaging Multiple Fast Fourier Transforms330

8.4 Filtering Aspects of Time-Domain Averaging340

8.5 Exponential Averaging341

9 DIGITAL DATA FORMATS AND THEIR EFFECTS349

9.1 Fixed-Point Binary Formats349

9.2 Binary Number Precision and Dynamic Range356

9.3 Effects of Finite Fixed-Point Binary Word Length357

9.4 Floating-Point Binary Formats375

9.5 Block Floating-Point Binary Format381

10 DIGITAL SIGNAL PROCESSING TRICKS385

10.1 Frequency Translation without Multiplication385

10.2 High-Speed Vector-Magnitude Approximation400

10.3 Data Windowing Tricks406

10.4 Fast Multiplication of Complex Numbers411

10.5 Efficiently Performing the FFT of Real Sequences412

10.6 Calculating the Inverse FFT Using the Forward FFT425

10.7 Fast FFT Averaging429

10.8 Simplified FIR Filter Structure430

10.9 Accurate A/D Converter Testing Technique432

10.10 Fast FIR Filtering Using the FFT435

10.11 Calculation of Sines and Cosines of Consecutive Angles436

10.12 Generating Normally Distributed Random Data438

APPENDIX A. THE ARITHMETIC OF COMPLEX NUMBERS443

A.1 Graphical Representation of Real and Complex Numbers443

A.2 Arithmetic Representation of Complex Numbers444

A.3 Arithmetic Operations of Complex Numbers446

A.4 Some Practical Implications of Using Complex Numbers453

APPENDIX B. CLOSED FORM OF A GEOMETRIC SERIES455

APPENDIX C. COMPLEX SIGNALS AND NEGATIVE FREQUENCY458

C.1 Development of Imaginary Numbers460

C.2 Representing Real Signals Using Complex Phasors462

C.3 Representing Real Signals Using Negative Frequencies467

C.4 Complex Signals and Quadrature Mixing471

APPENDIX D. MEAN, VARIANCE, AND STANDARD DEVIATION476

D.1 Statistical Measures476

D.2 Standard Deviation, or RMS, of a Continuous Sinewave480

D.3 The Mean and Variance of Random Functions481

D.4 The Normal Probability Density Function484

APPENDIX E. DECIBELS (dB AND dBm)486

E.1 Using Logarithms to Determine Relative Signal Power486

E.2 Some Useful Decibel Numbers492

E.3 Absolute Power Using Decibels493

APPENDIX F. DIGITAL FILTER TERMINOLOGY494

Index507