A course in digital signal processing:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Wiley
1997
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XXVI, 602 S. graph. Darst. |
| ISBN: | 0471149616 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804126945922777088 |
|---|---|
| adam_text | A Course in Digital
Signal Processing
BOAZ PORAT
Technion, Israel Institute of Technology
Department of Electrical Engineering
JOHN WILEY amp; SONS, INC
NEW YORK CHICHESTER BRISBANE TORONTO SINGAPORE
Contents
Preface vii
Symbols and Abbreviations xxi
1 Introduction 1
1 1 Contents of the Book 5
1 2 Notational Conventions 6
1 3 Summation Rules 8
1 4 Summary and Complements 10
141 Summary 10
142 Complements 10
2 Review of Frequency-Domain Analysis 11
2 1 Continuous-Time Signals and Systems 11
2 2 Specific Signals and Their Transforms 14
221 The Delta Function and the DC Function 14
222 Complex Exponentials and Sinusoids 14
223 The rect and the sine 16
224 The Gaussian Function 16
2 3 Continuous-Time Periodic Signals 17
2 4 The Impulse Train 18
2 5 Real Fourier Series 19
2 6 Continuous-Time Random Signals 21
261 Mean, Variance, and Covariance 21
262 Wide-Sense Stationary Signals 22
263 The Power Spectral Density 23
264 WSS Signals and LTI Systems 26
2 7 Discrete-Time Signals and Systems 27
2 8 Discrete-Time Periodic Signals 29
2 9 Discrete-Time Random Signals 30
2 10 Summary and Complements 32
2 10 1 Summary 32
2 10 2 Complements 33
2 11 Problems 36
3 Sampling and Reconstruction 45
3 1 Two Points of View on Sampling 46
3 2 The Sampling Theorem 48
3 3 The Three Cases of Sampling 50
xiii
Xiv CONTENTS
3 4 Reconstruction 57
3 5 Physical Aspects of Sampling and Reconstruction 62
351 Physical Reconstruction 63
352 Physical Sampling 65
353 Averaging in A/D Converters 70
3 6 Sampling of Band-Pass Signals 71
3 7 Sampling of Random Signals 74
3 8 Sampling in the Frequency Domain 78
3 9 Summary and Complements 79
391 Summary 79
392 Complements 80
3 10 Problems 81
4 The Discrete Fourier Transform 93
4 1 Definition of the DFT and Its Inverse 94
4 2 Matrix Interpretation of the DFT 99
4 3 Properties of the DFT 101
4 4 Zero Padding 104
4 5 Zero Padding in the Frequency Domain 106
4 6 Circular Convolution 107
4 7 Linear Convolution via Circular Convolution HO
4 8 The DFT of Sampled Periodic Signals 112
4 9 The Discrete Cosine Transform 114
491 Type-I Discrete Cosine Transform 115
492 Type-II Discrete Cosine Transform 116
493 Type-Ill Discrete Cosine Transform 118
494 Type-IV Discrete Cosine Transform 119
495 Discussion 120
4 10 The Discrete Sine Transform 120
4 11 Summary and Complement 121
4 11 1 Summary 121
4 11 2 Complement 123
4 12 MATLAB Programs 124
4 13 Problems 125
5 The Fast Fourier Transform 133
5 1 Operation Count 134
5 2 The Cooley-Tukey Decomposition 134
521 Derivation of the CT Decomposition 134
522 Recursive CT Decomposition and Its Operation Count 138
523 Computation of the Twiddle Factors 139
524 Computation of the Inverse DFT 139
525 Time Decimation and Frequency Decimation 140
526 MATLAB Implementation of Cooley-Tukey FFT 140
5 3 Radix-2 FFT 140
531 The 2-Point DFT Butterfly 142
532 Time-Decimated Radix-2 FFT 142
533 Frequency-Decimated Radix-2 FFT 144
534 Signal Scaling in Radix-2 FFT 144
5 4 Radix-4 Algorithms 146
CONTENTS XV
5 5 DFTs of Real Sequences 147
5 6 Linear Convolution by FFT 148
5 7 DFT at a Selected Frequency Range 151
571 The Chirp Fourier Transform 151
572 Zoom FFT 153
5 8 Summary and Complements 154
581 Summary 154
582 Complements 154
5 9 MATLAB Programs 156
5 10 Problems 159
6 Practical Spectral Analysis 163
6 1 The Effect of Rectangular Windowing 164
6 2 Windowing 168
6 3 Common Windows 169
631 Rectangular Window 169
632 Bartlett Window 169
633 Harm Window 170
634 Hamming Window 172
635 Blackman Window 173
636 Kaiser Window 174
637 Dolph Window 175
638 MATLAB Implementation of Common Windows 178
6 4 Frequency Measurement 178
641 Frequency Measurement for a Single Complex Exponential 178
642 Frequency Measurement for Two Complex Exponentials 179
643 Frequency Measurement for Real Sinusoids 182
644 Practice of Frequency Measurement 184
6 5 Frequency Measurement of Signals in Noise 185
651 Signal Detection 186
652 Frequency Estimation 190
653 Detection and Frequency Estimation for Real Sinusoids 191
6 6 Summary and Complements 195
661 Summary 195
662 Complements 195
6 7 MATLAB Programs 197
6 8 Problems 200
7 Review of z-Transforms and Difference Equations 205
7 1 The z-Transform 206
7 2 Properties of the z-Transform 210
7 3 Transfer Functions 213
7 4 Systems Described by Difference Equations 214
741 Difference Equations 214
742 Poles and Zeros 215
743 Partial Fraction Decomposition 216
744 Stability of Rational Transfer Functions 217
745 The Noise Gain of Rational Transfer Functions 219
7 5 Inversion of the z-Transform 221
7 6 Frequency Responses of Rational Transfer Functions 224
XVi CONTENTS
7 7 The Unilateral z-Transform 226
7 8 Summary and Complements 229
781 Summary 229
782 Complements 230
7 9 MATLAB Programs 232
7 10 Problems 236
8 Introduction to Digital Filters 242
8 1 Digital and Analog Filtering 243
8 2 Filter Specifications 245
821 Low-Pass Filter Specifications 246
822 High-Pass Filter Specifications 247
823 Band-Pass Filter Specifications 249
824 Band-Stop Filter Specifications 250
825 Multiband Filters 251
8 3 The Magnitude Response of Digital Filters 253
8 4 The Phase Response of Digital Filters 253
841 Phase Discontinuities 253
842 Continuous-Phase Representation 254
843 Linear Phase 256
844 Generalized Linear Phase 258
845 Restrictions on GLP Filters 260
846 Restrictions on Causal GLP Filters 261
847 Minimum-Phase Filters 261
848 All-Pass Filters 263
8 5 Digital Filter Design Considerations 264
851 OR Filters 265
852 FIR Filters 265
8 6 Summary and Complements 266
861 Summary 266
862 Complements 267
8 7 MATLAB Program 268
8 8 Problems 269
9 Finite Impulse Response Filters 275
9 1 Generalized Linear Phase Revisited 275
911 Type-I Filters 276
912 Type-II Filters 276
913 Type-ffl Filters 278
914 TypeTV Filters 279
915 Summary of Linear-Phase Filter Types 281
916 Zero Locations of Linear-Phase Filters 281
9 2 FIR Filter Design by Impulse Response Truncation 284
921 Definition of the IRT Method 284
922 Low-Pass, High-Pass, and Band-Pass Filters 285
923 Multiband Filters 285
924 Differentiators 286
925; Hilbert Transformers 288
926 Optimality of the IRT Method 290
927 The Gibbs Phenomenon 291
CONTENTS XVii
9 3 FIR Filter Design Using Windows 293
9 4 FIR Filter Design Examples 298
9 5 Least-Squares Design of FIR Filters 303
9 6 Equiripple Design of FIR Filters 306
961 Mathematical Background 306
962 The Remez Exchange Algorithm 307
963 Equiripple FIR Design Examples 309
9 7 Summary and Complements 312
971 Summary 312
972 Complements 313
9 8 MATLAB Programs 314
9 9 Problems 320
10 Infinite Impulse Response Filters 328
10 1 Analog Filter Basics 329
10 2 - Butterworth Filters 330
10 3 4 Chebyshev Filters 333
10 3 1 Chebyshev Filter of the First Kind 335
10 3 2 Chebyshev Filter of the Second Kind 338
10 4 Elliptic Filters 341
10 5 MATLAB Programs for Analog Low-Pass Filters 345
10 6 Frequency Transformations 346
10 6 1 Low-Pass to Low-Pass Transformation 347
10 6 2 Low-Pass to High-Pass Transformation 348
10 6 3 Low-Pass to Band-Pass Transformation 350
10 6 4 Low-Pass to Band-Stop Transformation 354
10 6 5 MATLAB Implementation of Frequency Transformations 356
10 7 Impulse Invariant Transformation 356
10 8 The Backward Difference Method 359
10 9 The Bilinear Transform 361
10 9 1 Definition and Properties of the Bilinear Transform 361
10 9 2 MATLAB Implementation of IIR Filter Design 365
10 9 3 IIR Filter Design Examples 365
10 10 The Phase Response of Digital HR Filters 368
10 11 Sampled-Data Systems 370
10 12 Summary and Complements 373
10 12 1 Summary 373
10 12 2 Complements 374
10 13 MATLAB Programs 375
10 14 Problems 382
11 Digital Filter Realization and Implementation 389
11 1 Realizations of Digital Filters 390
11 1 1 Building Blocks of Digital Filters 390
11 1 2 Direct Realizations 392
11 1 3 Direct Realizations of FIR Filters 395
11 1 4 Parallel Realization 396
11 1 5 Cascade Realization 399
11 1 6 Pairing in Cascade Realization 400
11 17A Coupled Cascade Realization 401
xvül CONTENTS
11 1 8 FFT-Based Realization of FIR Filters 402
11 2 State-Space Representations of Digital Filters 402
11 2 1 The State-Space Concept 402
11 2 2 Similarity Transformations 405
11 2 3 Applications of State Space 405
11 3 General Block-Diagram Manipulation 407
11 4 The Finite Word Length Problem 411
11 5 Coefficient Quantization in Digital Filters 412
11 5 1 Quantization Effects on Poles and Zeros 412
11 5 2 Quantization Effects on the Frequency Response 414
11 6 Scaling in Fixed-Point Arithmetic 419
11 6 1 Time-Domain Scaling 420
11 6 2 Frequency-Domain Scaling 421
11 6 3 MATLAB Implementation of Filter Norms 422
11 6 4 Scaling of toner Signals 423
11 6 5 Scaling in Parallel and Cascade Realization 424
11 7 Quantization Noise 426
11 7 1 Modeling of Quantization Noise 426
11 7 2 Quantization Noise in Direct Realizations 428
11 7 3 Quantization Noise to Parallel and Cascade Realizations 430
11 7 4 Quantization Noise to A/D and D/A Converters 432
11 8 Zero-Input Limit Cycles to Digital Filters 433
11 9 Summary and Complements 437
11 9 1 Summary 437
11 9 2 Complements 438
11 10 MATLAB Programs 440
11 11 Problems 454
12 Multirate Signal Processing 461
12 1 Decimation and Expansion 462
12 2 Transforms of Decimated and Expanded Sequences 465
12 3 Linear Filtering with Decimation and Expansion 469
12 3 1 Decimation 469
12 3 2 Expansion 471
12 3 3 Sampling-Rate Conversion 473
12 4 Polyphase Filters 475
12 4 1 The Multirate Identities 475
12 4 2 Polyphase Representation of Decimation 476
12 4 3 Polyphase Representation of Expansion 477
12 4 4 Polyphase Representation of Sampling-Rate Conversion 481
12 5 Multistage Schemes 482
12 6 Filter Banks 485
12 6 1 Subband Processing 485
12 6 2 Decimated Filter Banks 486
12 7 Two-Channel Filter Banks 488
12 7 1 Properties of Two-Channel Filter Banks 488
12 7 2 Quadrature Mirror Filter Banks 489
12 7 3 Perfect Reconstruction Filter Banks 490
12 7 4 Tree-Structured Filter Banks 492
12 7 5 Octave-Band Filter Banks 495
CONTENTS xix
12 8 Uniform DFT Filter Banks 496
12 8 1 Filter Bank Interpretation of the DFT 496
12 8 2 Windowed DFT Filter Banks 498
12 83A Uniform DFT Filter Bank of Arbitrary Order 499
12 9 Summary and Complements 502
12 9 1 Summary 502
12 9 2 Complements 503
12 10 MATLAB Programs 504
12 11 Problems 508
13 Analysis and Modeling of Random Signals 513
13 1 Spectral Analysis of Random Signals 513
13 2 Spectral Analysis by a Smoothed Periodogram 519
13 3 Rational Parametric Models of Random Signals 522
13 4 Autoregressive Signals 524
13 4 1 The Yule-Walker Equations 524
13 4 2 Linear Prediction with Minimum Mean-Square Error 525
13 4 3 The Levinson-Durbin Algorithm 526
13 4 4 Lattice Filters 529
13 4 5 The Schur Algorithm 532
13 4 6 AR Modeling from Measured Data 533
13 4 7 AR Modeling by Least Squares 535
13 5 Joint Signal Modeling 537
13 6 Summary and Complements 541
13 6 1 Summary 541
13 6 2 Complements 542
13 7 MATLAB Programs 543
13 8 Problems 547
14 Digital Signal Processing Applications 550
14 1 Signal Compression Using the DCT 551
14 2 Speech Signal Processing 554
14 2 1 Speech Modeling 555
14 2 2 Modeling of the Excitation Signal 558
14 2 3 Reconstruction of Modeled Speech 560
14 2 4 Coding and Compression 561
14 3 Musical Signals 563
14 4 An Application of DSP in Digital Communication 566
14 4 1 The Transmitted Signal 567
14 4 2 The Received Signal 568
14 4 3 Choosing the Sampling Rate 569
14 4 4 Quadrature Signal Generation 569
14 4 5 Complex Demodulation 570
14 4 6 Symbol Detection: Preliminary Discussion 571
14 4 7 FM to AM Conversion 572
14 4 8 Timing Recovery 573
14 4 9 Matched Filtering 575
14 4 10 Carrier Recovery and Symbol Detection 576
14 4 11 Improved Carrier Recovery and Symbol Detection 578
14 4 12 Summary 579
XX CONTENTS
14 5 Electrocardiogram Analysis 580
14 6 Microprocessors for DSP Applications 581
14 6 1 General Concepts 582
14 6 2 The Motorola DSP56301 584
14 7 Sigma-Delta A/D Converters 586
14 8 Summary and Complements 589
14 8 1 Summary 589
14 8 2 Complements 590
Bibliography 591
Index 597
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| spelling | Porat, Boaz Verfasser aut A course in digital signal processing Boaz Porat New York [u.a.] Wiley 1997 XXVI, 602 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Processamento de sinais digitais larpcal Signal processing Digital techniques Digitale Signalverarbeitung (DE-588)4113314-6 gnd rswk-swf Digitale Signalverarbeitung (DE-588)4113314-6 s DE-604 HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008353131&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Porat, Boaz A course in digital signal processing Processamento de sinais digitais larpcal Signal processing Digital techniques Digitale Signalverarbeitung (DE-588)4113314-6 gnd |
| subject_GND | (DE-588)4113314-6 |
| title | A course in digital signal processing |
| title_auth | A course in digital signal processing |
| title_exact_search | A course in digital signal processing |
| title_full | A course in digital signal processing Boaz Porat |
| title_fullStr | A course in digital signal processing Boaz Porat |
| title_full_unstemmed | A course in digital signal processing Boaz Porat |
| title_short | A course in digital signal processing |
| title_sort | a course in digital signal processing |
| topic | Processamento de sinais digitais larpcal Signal processing Digital techniques Digitale Signalverarbeitung (DE-588)4113314-6 gnd |
| topic_facet | Processamento de sinais digitais Signal processing Digital techniques Digitale Signalverarbeitung |
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