Multirate Signal Processing for Communication Systems

✍ Scribed by Harris, Fredric J

• Publisher: Prentice Hall
• Year: 2004
• Tongue: English
• Leaves: 493
• Category: Library

✦ Synopsis

This book offers the first systematic, clear, and intuitive introduction to multirate signal processing for working engineers and system designers. The author uses extensive examples and figures to illuminate a wide range of multirate techniques, from basic resampling to leading-edge cascade and multiple-stage filter structures. Along the way, he draws on extensive research and consulting experience to introduce processing itricksi shown to maximize performance and efficiency.

✦ Table of Contents

Cover......Page 1
Contents......Page 6
Preface......Page 10
Purpose of Book......Page 11
Organization of Book......Page 12
Acknowledgements......Page 13
1 Why Multirate Filters?......Page 16
1.1 Compact Disc 4-to-1 Oversample......Page 17
1.2 Anti-alias Filtering......Page 21
2 The Resampling Process......Page 28
2.1 The Sampling Sequence......Page 30
2.1.1 Modulation Description of Resampled Sequence......Page 34
2.2 What Is a Multirate Filter?......Page 35
2.2.1 Properties of Resamplers......Page 38
2.2.2 Examples of Resampling Filters......Page 41
2.3 Useful Perspectives for Multirate Filters......Page 43
2.4 Nyquist and the Sampling Process......Page 47
3 Digital Filters......Page 54
3.1 Filter Specifications......Page 55
3.2 Windowing......Page 58
3.3 The Remez Algorithm......Page 67
3.3.1 Equiripple vs. 1/f Ripple Designs......Page 75
3.3.2 Acceptable In-band Ripple Levels......Page 81
4 Useful Classes of Filters......Page 96
4.1 Nyquist Filter and Square-root Nyquist Filter......Page 97
4.2 The Communication Path......Page 101
4.3 The Sampled Cosine Taper......Page 104
4.3.1 Root-raised Cosine Side-lobe Levels......Page 106
4.3.2 Improving the Stop band Attenuation......Page 107
4.4 Half-band Filters......Page 112
5 Systems That Use Resampling Filters......Page 122
5.1 Filtering with Large Ratio of Sample Rate to Bandwidth......Page 123
5.1.1 Partial Sum Accumulator: The Dual Form......Page 126
5.1.2 Generate Baseband Narrowband Noise......Page 131
5.1.3 Generate Narrowband Noise at a Carrier Frequency......Page 134
5.2 Workload of Multirate Filter......Page 136
6 Polyphase FIR Filters......Page 142
6.1. Channelizer......Page 143
6.1.1. Transforming the Band-pass Filter......Page 149
6.2 Separating the Aliases......Page 157
7 Resampling Filters......Page 168
7.1.1 Simple 1-to-M Interpolator......Page 169
7.2.1 Polyphase Partition......Page 176
7.3 Band-pass Interpolator......Page 179
7.4 Rational Ratio Resampling......Page 184
7.5 Arbitrary Resampling Ratio......Page 186
7.5.1 Nearest Neighbor Interpolation......Page 187
7.5.2 Two Neighbor Interpolation......Page 196
7.6.1 Classical Interpolator......Page 200
7.6.2 Polynomial Approximation......Page 204
7.6.3 Farrow Filter......Page 207
8 Half-band Filters......Page 216
8.1 Half-band Low Pass Filters......Page 217
8.2 Half-band High pass Filter......Page 219
8.3 Window Design of Half-band Filter......Page 220
8.4 Remez Algorithm Design of Half-band Filters......Page 222
8.4.1 Half-band Remez Algorithm Design Trick......Page 223
8.5 Hilbert Transform Band-pass Filter......Page 225
8.5.1 Applying the Hilbert Transform Filter......Page 227
8.6 Interpolating with Low Pass Half-band Filters......Page 229
8.7 Dyadic Half-band Filters......Page 232
9 Polyphase Channelizers......Page 240
9.1 Demodulator Channel Bank......Page 241
9.2 Arbitrary Output Sample Rates......Page 244
9.2.1 Comparison of Design Options......Page 255
10 Recursive Polyphase Filters......Page 272
10.1 All-pass Recursive Filters......Page 273
10.1.1 Properties of All-pass Filters......Page 275
10.1.2 Implementing First-order All-pass Networks......Page 281
10.2 Two-path All-pass Recursive Filters......Page 285
10.2.1 Two-path Half-band Filters: Nonuniform Phase......Page 286
10.2.2 Two-path Half-band Filters: Linear Phase......Page 296
10.3 Comparison of Nonuniform and Equal-ripple Phase Two-path Filters......Page 298
10.4 Pass band and Stop band Response in Half-band Filters......Page 304
10.5 Transforming Half-band to Arbitrary Bandwidth......Page 305
10.5.1 Low pass to Low-pass Transformation......Page 306
10.5.2 Low pass to Band-pass Transformation......Page 311
10.6 Multirate Considerations of Recursive Half-band Filters......Page 316
10.7 Hilbert-transform Filter Variant of Two-path All-pass Filter......Page 324
10.8 M-path Recursive All-pass Filters......Page 329
10.9 Iterated Half-band Filters......Page 333
10.9.1 Final Comparisons......Page 336
11 Cascade Integrator Comb Filters......Page 340
11.1 A Multiply-free Filter......Page 341
11.2 Binary Integers and Overflow......Page 348
11.3 Multistage CIC......Page 351
11.4 Hogenauer Filter......Page 356
11.4.1 Accumulator Bit Width......Page 357
11.4.2 Pruning Accumulator Width......Page 359
11.5 CIC Interpolator Example......Page 371
11.6 Coherent and Incoherent Gain in CIC Integrators......Page 374
12 Cascade and Multiple Stage Filter Structures......Page 384
12.1 Interpolated FIR (IFIR) Filters......Page 385
12.1.1 Interpolated FIR Example......Page 387
12.2 Spectral Masking Filters Based of Half-band Filters......Page 390
12.3 Spectral Masking Filters Based on Complementary Filters......Page 395
12.4 Proportional Bandwidth Filter Banks......Page 398
12.4.1 Octave Partition......Page 399
12.4.2 Proportional Bandwidth Filters......Page 400
13 Communication Systems Applications......Page 410
13.1 Conventional Digital Down Converters......Page 411
13.2 Aliasing Digital Down Converters......Page 415
13.2.1 IF Subsampling Example......Page 416
13.3 Timing Recovery in a Digital Demodulator......Page 424
13.4 Modem Carrier Recovery......Page 432
13.4.1 Background......Page 433
13.4.2 Modern Carrier Recovery......Page 434
13.5 Digitally Controlled Sampled Data Delay......Page 440
13.5.1 Recursive All-pass Filter Delay Lines......Page 441
13.6 Interpolated Shaping Filter......Page 448
13.7 Sigma-delta Decimating Filter......Page 461
13.7.1 Sigma-delta Filter......Page 465
13.8 FM Receiver and Demodulator......Page 474
13.8.1 FM Band Channelizer......Page 475
13.8.2 FM Demodulator......Page 480
13.8.3 Stereo Decoding......Page 481
C......Page 488
F......Page 489
L......Page 490
P......Page 491
S......Page 492
Z......Page 493