Digital Signal Processing Using Matlab: A Problem Solving Companion

Contents......Page 7
Preface......Page 13
Ch 1: Introduction......Page 21
1.1: Overview of Digital Signal Processing......Page 22
1.2: A Brief Introduction to MATLAB......Page 25
1.3: Applications of Digital Signal Processing......Page 38
1.4: Brief Overview of the Book......Page 40
2.1: Discrete-Time Signals......Page 42
2.2: Discrete Systems......Page 56
2.3: Convolution......Page 60
2.4: Difference Equations......Page 67
2.5: Problems......Page 73
3.1: The Discrete-Time Fourier Transform (DTFT)......Page 79
3.2: The Properties of the DTFT......Page 87
3.3: The Frequency Domain Representation of LTI Systems......Page 94
3.4: Sampling and Reconstruction of Analog Signals......Page 100
3.5: Problems......Page 117
4.1: The Bilateral z-Transform......Page 123
4.2: Important Properties of the z-Transform......Page 127
4.3: Inversion of the z-Transform......Page 132
4.4: System Representation in the z-Domain......Page 138
4.5: Solutions of the Difference Equations......Page 148
4.6: Problems......Page 154
Ch 5: The Discrete Fourier Transform......Page 161
5.1: The Discrete Fourier Series......Page 162
5.2: Sampling and Reconstruction in the z-Domain......Page 169
5.3: The Discrete Fourier Transform......Page 174
5.4: Properties of the Discrete Fourier Transform......Page 185
5.5: Linear Convolution Using the DFT......Page 200
5.6: The Fast Fourier Transform......Page 207
5.7: Problems......Page 220
Ch 6: Implementation of Discrete-Time Filters......Page 232
6.1: Basic Elements......Page 233
6.2: IIR Filter Structures......Page 234
6.3: FIR Filter Structures......Page 248
6.4: Overview of Finite-Precision Numerical Effects......Page 259
6.5: Representation of Numbers......Page 260
6.6: The Process of Quantization and Error Characterizations......Page 275
6.7: Quantization of Filter Coefficients......Page 282
6.8: Problems......Page 297
Ch 7: FIR Filter Design......Page 311
7.1: Preliminaries......Page 312
7.2: Properties of Linear-Phase FIR Filters......Page 315
7.3: Window Design Technique......Page 329
7.4: Frequency-Sampling Design Technique......Page 350
7.5: Optimal Equiripple Design Technique......Page 364
7.6: Problems......Page 380
Ch 8: IIR Filter Design......Page 390
8.1: Some Preliminaries......Page 391
8.2: Some Special Filter Types......Page 394
8.3: Characteristics of Prototype Analog Filters......Page 405
8.4: Analog-to-Digital Filter Transformations......Page 427
8.5: Lowpass Filter Design Using MATLAB......Page 447
8.6: Frequency-Band Transformations......Page 452
8.7: Problems......Page 465
Ch 9: Sampling Rate Conversion......Page 478
9.1: Introduction......Page 479
9.2: Decimation by a Factor D......Page 481
9.3: Interpolation by a Factor I......Page 490
9.4: Sampling Rate Conversion by a Rational Factor I/D......Page 497
9.5: FIR Filter Designs for Sampling Rate Conversion......Page 502
9.6: FIR Filter Structures for Sampling Rate Conversion......Page 520
9.7: Problems......Page 530
10.1: Analysis of A/D Quantization Noise......Page 538
10.2: Round-Off Effects in IIR Digital Filters......Page 550
10.3: Round-Off Effects in FIR Digital Filters......Page 577
10.4: Problems......Page 589
Ch 11: Applications in Adaptive Filtering......Page 593
11.1: LMS Algorithm for Coefficient Adjustment......Page 595
11.2: System Identification or System Modeling......Page 598
11.3: Suppression of Narrowband Interference in a Wideband Signal......Page 599
11.5: Adaptive Channel Equalization......Page 602
12.1: Pulse-Code Modulation......Page 606
12.2: Differential PCM (DPCM)......Page 610
12.3: Adaptive PCM and DPCM (ADPCM)......Page 613
12.4: Delta Modulation (DM)......Page 617
12.5: Linear Predictive Coding (LPC) of Speech......Page 621
12.6: Dual-Tone Multifrequency (DTMF) Signals......Page 625
12.7: Binary Digital Communications......Page 629
12.8: Spread-Spectrum Communications......Page 631
Ch 13: Random Processes......Page 634
13.1: Random Variable......Page 635
13.2: A Pair of Random Variables......Page 648
13.3: Random Signals......Page 662
13.4: Power Spectral Density......Page 670
13.5: Stationary Random Processes through LTI Systems......Page 678
13.6: Useful Random Processes......Page 688
13.7: Summary and References......Page 704
Ch 14: Linear Prediction and Optimum Linear Filters......Page 706
14.1: Innovations Representation of a Stationary Random Process......Page 707
14.2: Forward and Backward Linear Prediction......Page 721
14.3: Solution of the Normal Equations......Page 737
14.4: Properties of the Linear Prediction-Error Filters......Page 750
14.5: AR Lattice and ARMA Lattice-Ladder Filters......Page 754
14.6: Wiener Filters for Filtering and Prediction......Page 763
14.7: Summary and References......Page 786
15.1: Applications of Adaptive Filters......Page 789
15.2: Adaptive Direct-Form FIR Filters......Page 835
15.3: Summary and References......Page 869
Bibliography......Page 870
Index......Page 875