MATLAB/Simulink for Digital Signal Processing

Many MATLAB codes for Digital Signal Processing

Chapter 1: Fourier Analysis 1
1.1 CTFS, CTFT, DTFT, AND DFS/DFT 1
1.2 SAMPLING THEOREM 16
1.3 FAST FOURIER TRANSFORM 19
1.4 INTERPRETATION OF DFT RESULTS 23
1.5 EFFECTS OF SIGNAL OPERATIONS ON DFT SPECTRUM 31
1.6 SHORT-TIME FOURIER TRANSFORM - STFT 32

Chapter 2: System Function, Impulse Response, and Frequency Response 51
2.1 THE INPUT-OUTPUT RELATIONSHIP OF A DISCRETE-TIME LTI SYSTEM
2.2 COMPUTATION OF LINEAR CONVOLUTION USING DFT 55
2.3 PHYSICAL MEANING OF SYSTEM FUNCTION AND FREQUENCY RESPONSE 58

Chapter 3: Correlation and Power Spectrum 73
3.1 CORRELATION SEQUENCE 73
3.2 POWER SPECTRAL DENSITY 83
3.3 POWER SPECTRUM, FREQUENCY RESPONSE, AND COHERENCE 89
3.4 COMPUTATION OF CORRELATION USING DFT 94

Chapter 4: Digital Filter Structure 99
4.1 INTRODUCTION 99
4.2 DIRECT STRUCTURE 101
4.3 LATTICE STRUCTURE 104
4.4 LINEAR-PHASE FIR STRUCTURE 114
4.5 FREQUENCY-SAMPLING STRUCTURE 118
4.6 FILTER STRUCTURES IN MATLAB 126

Chapter 5: Filter Design 135
5.1 ANALOG FILTER DESIGN 135
5.2 DISCRETIZATION OF ANALOG FILTER 143
5.3 DIGITAL FILTER DESIGN 148
5.4 FDATOOL 169
5.5 FINITE WORDLENGTH EFFECT 178
5.6 FILTER DESIGN TOOLBOX 191

Chapter 6: Spectral Estimation 203
6.1 CLASSICAL SPECTRAL ESTIMATION 203
6.2 MODERN SPECTRAL ESTIMATION 206
6.3 SPTOOL 222

Chapter 7: DoA Estimation 239
7.1 BEAMFORMING AND NULL STEERING 242
7.2 CONVENTIONAL METHODS FOR DOA ESTIATION 248
7.3 SUBSPACE METHODS FOR DOA ESTIATION 251
7.4 SPATIAL SMOOTHING TECHNIQUES 256
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Chapter 8: Kalman Filter and Wiener Filter 265
8.1 DISCRETE-TIME KALMAN FILTER 265
8.2 DISCRETE-TIME WIENER FILTER 289

Chapter 9: Adaptive Filter 299
9.1 OPTIMAL FIR FILTER 299
9.2 ADAPTIVE FILTER 304
9.3 MORE EXAMPLES OF ADAPTIVE FILTER 314
9.4 RECURSIVE LEAST-SQUARES ESTIMATION 318

Chapter 10: Multi-Rate Signal Processing and Wavelet Transform 327
10.1 MULTIRATE FILTER 327
10.2 TWO-CHANNEL FILTER BANK 349
10.3 M-CHANNEL FILTER BANK 356
10.4 WAVELET TRANSFORM 367

Chapter 11: Two-Dimensional Filtering 399
11.1 DIGITAL IMAGE TRANSFORM 399
11.2 DIGITAL IMAGE FILTERING 409