Precoding and signal shaping for digital transmission

Başlık:

Yazar:

Fischer, Robert F. H., 1966-

ISBN:

9780471224105

Ek Yazar:

Fischer, Robert F. H., 1966-

Yayım Bilgisi:

New York : J. Wiley-Interscience, c2002.

Fiziksel Tanım:

xii, 492 p. : ill. ; 25 cm.

Contents:

Digital communications via linear, distorting channels -- Precoding schemes -- Signal shaping -- Combined precoding and signal shaping -- Appendix A: Wirtinger calculus -- Appendix B: Parameters of the numerical examples -- Appendix C: Introduction to lattices -- Appendix D: Calculation of shell frequency distribution -- Appendix E: Precoding for MIMO channels -- Appendix F: List of symbols, variables, and acronyms.

Konu Terimleri:

Signal processing -- Digital techniques.

Sinyal işleme -- Dijital teknikler

Added Corporate Author:

Institute of Electrical and Electronics Engineers

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Library	Materyal Türü	Barkod	Yer Numarası	Durum
Searching... Pamukkale Merkez Kütüphanesi	Kitap	0133203	TK5102.9 .F54 2002	Searching... Unknown

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Provides a step-by-step description of the basics of precoding and signal shaping.
* Illustrates theory with examples from wireline and wireless communications.
* Discusses the role of precoding and signal shaping algorithms in communications standards.

Author Notes

Robert F. H. Fischer received his PhD in electrical engineering from the University of Erlangen-Nurnberg, where he is now a member of the Telecommunications Institute, teaching graduate courses in digital communications and supervising various research projects

Preface	p. xi
1 Introduction	p. 1
1.1 The Structure of the Book	p. 3
1.2 Notation and Definitions	p. 5
1.2.1 Signals and Systems	p. 5
1.2.2 Stochastic Processes	p. 5
1.2.3 Equivalent Complex Baseband Signals	p. 6
1.2.4 Miscellaneous	p. 7
References	p. 8
2 Digital Communications via Linear, Distorting Channels	p. 9
2.1 Fundamentals and Problem Description	p. 10
2.2 Linear Equalization	p. 14
2.2.1 Zero-Forcing Linear Equalization	p. 15
2.2.2 A General Property of the Receive Filter	p. 28
2.2.3 MMSE Filtering and the Orthogonality Principle	p. 32
2.2.4 MMSE Linear Equalization	p. 35
2.2.5 Joint Transmitter and Receiver Optimization	p. 43
2.3 Noise Prediction and Decision-Feedback Equalization	p. 49
2.3.1 Noise Prediction	p. 49
2.3.2 Zero-Forcing Decision-Feedback Equalization	p. 59
2.3.3 Finite-Length MMSE Decision-Feedback Equalization	p. 77
2.3.4 Infinite-Length MMSE Decision-Feedback Equalization	p. 85
2.4 Summary of Equalization Strategies and Discrete-Time Models	p. 96
2.4.1 Summary of Equalization Strategies	p. 96
2.4.2 IIR Channel Models	p. 96
2.4.3 Channels with Spectral Nulls	p. 103
2.5 Maximum-Likelihood Sequence Estimation	p. 108
2.5.1 Whitened-Matched-Filter Front-End	p. 108
2.5.2 Alternative Derivation	p. 112
References	p. 116
3 Precoding Schemes	p. 123
3.1 Preliminaries	p. 124
3.2 Tomlinson-Harashima Precoding	p. 127
3.2.1 Precoder	p. 127
3.2.2 Statistical Characteristics of the Transmit Signal	p. 129
3.2.3 Tomlinson-Harashima Precoding for Complex Channels	p. 135
3.2.4 Precoding for Arbitrary Signal Constellations	p. 140
3.2.5 Multidimensional Generalization of Tomlinson-Harashima Precoding	p. 141
3.2.6 Signal-to-Noise Ratio	p. 142
3.2.7 Combination with Coded Modulation	p. 144
3.2.8 Tomlinson-Harashima Precoding and Feedback Trellis Encoding	p. 148
3.2.9 Combination with Signal Shaping	p. 150
3.3 Flexible Precoding	p. 152
3.3.1 Precoder and Inverse Precoder	p. 152
3.3.2 Transmit Power and Signal-to-Noise Ratio	p. 155
3.3.3 Combination with Signal Shaping	p. 157
3.3.4 Straightforward Combination with Coded Modulation	p. 157
3.3.5 Combined Coding and Precoding	p. 161
3.3.6 Spectral Zeros	p. 169
3.4 Summary and Comparison of Precoding Schemes	p. 171
3.5 Finite-Word-Length Implementation of Precoding Schemes	p. 181
3.5.1 Two's Complement Representation	p. 181
3.5.2 Fixed-Point Realization of Tomlinson-Harashima Precoding	p. 185
3.6 Nonrecursive Structure for Tomlinson-Harashima Precoding	p. 195
3.6.1 Precoding for IIR Channels	p. 195
3.6.2 Extension to DC-free Channels	p. 197
3.7 Information-Theoretical Aspects of Precoding	p. 199
3.7.1 Precoding Designed According to MMSE Criterion	p. 199
3.7.2 MMSE Precoding and Channel Capacity	p. 203
References	p. 211
4 Signal Shaping	p. 219
4.1 Introduction to Shaping	p. 220
4.1.1 Measures of Performance	p. 223
4.1.2 Optimal Distribution for Given Constellation	p. 224
4.1.3 Ultimate Shaping Gain	p. 227
4.2 Bounds on Shaping	p. 229
4.2.1 Lattices, Constellations, and Regions	p. 229
4.2.2 Performance of Shaping and Coding	p. 232
4.2.3 Shaping Properties of Hyperspheres	p. 235
4.2.4 Shaping Under a Peak Constraint	p. 242
4.2.5 Shaping on Regions	p. 247
4.2.6 AWGN Channel and Shaping Gain	p. 253
4.3 Shell Mapping	p. 258
4.3.1 Preliminaries	p. 258
4.3.2 Sorting and Iteration on Dimensions	p. 259
4.3.3 Shell Mapping Encoder and Decoder	p. 266
4.3.4 Arbitrary Frame Sizes	p. 270
4.3.5 General Cost Functions	p. 272
4.3.6 Shell Frequency Distribution	p. 276
4.4 Trellis Shaping	p. 282
4.4.1 Motivation	p. 282
4.4.2 Trellis Shaping on Regions	p. 289
4.4.3 Practical Considerations and Performance	p. 297
4.4.4 Shaping, Channel Coding, and Source Coding	p. 307
4.4.5 Spectral Shaping	p. 309
4.4.6 Further Shaping Properties	p. 316
4.5 Approaching Capacity by Equiprobable Signaling	p. 318
4.5.1 AWGN Channel and Equiprobable Signaling	p. 318
4.5.2 Nonuniform Constellations--Warping	p. 321
4.5.3 Modulus Conversion	p. 328
References	p. 334
5 Combined Precoding and Signal Shaping	p. 341
5.1 Trellis Precoding	p. 344
5.1.1 Operation of Trellis Precoding	p. 345
5.1.2 Branch Metrics Calculation	p. 346
5.2 Shaping Without Scrambling	p. 356
5.2.1 Basic Principle	p. 356
5.2.2 Decoding and Branch Metrics Calculation	p. 357
5.2.3 Performance of Shaping Without Scrambling	p. 361
5.3 Precoding and Shaping under Additional Constraints	p. 369
5.3.1 Preliminaries on Receiver-Side Dynamics Restriction	p. 369
5.3.2 Dynamics Limited Precoding	p. 370
5.3.3 Dynamics Shaping	p. 377
5.3.4 Reduction of the Peak-to-Average Power Ratio	p. 384
5.4 Geometrical Interpretation of Precoding and Shaping	p. 392
5.4.1 Combined Precoding and Signal Shaping	p. 392
5.4.2 Limitation of the Dynamic Range	p. 394
5.5 Connection to Quantization and Prediction	p. 397
References	p. 400
Appendix A Wirtinger Calculus	p. 405
A.1 Real and Complex Derivatives	p. 406
A.2 Wirtinger Calculus	p. 407
A.2.1 Examples	p. 408
A.2.2 Discussion	p. 410
A.3 Gradients	p. 411
A.3.1 Examples	p. 411
A.3.2 Discussion	p. 412
References	p. 413
Appendix B Parameters of the Numerical Examples	p. 415
B.1 Fundamentals of Digital Subscriber Lines	p. 415
B.2 Single-Pair Digital Subscriber Lines	p. 417
B.3 Asymmetric Digital Subscriber Lines	p. 418
References	p. 420
Appendix C Introduction to Lattices	p. 421
C.1 Definition of Lattices	p. 421
C.2 Some Important Parameters of Lattices	p. 425
C.3 Modifications of Lattices	p. 428
C.4 Sublattices, Cosets, and Partitions	p. 430
C.5 Some Important Lattices and Their Parameters	p. 434
References	p. 437
Appendix D Calculation of Shell Frequency Distribution	p. 439
D.1 Partial Histograms	p. 440
D.2 Partial Histograms for General Cost Functions	p. 444
D.3 Frequencies of Shells	p. 445
References	p. 453
Appendix E Precoding for MIMO Channels	p. 455
E.1 Centralized Receiver	p. 456
E.1.1 Multiple-Input/Multiple-Output Channel	p. 456
E.1.2 Equalization Strategies for MIMO Channels	p. 457
E.1.3 Matrix DFE	p. 459
E.1.4 Tomlinson-Harashima Precoding	p. 460
E.2 Decentralized Receivers	p. 465
E.2.1 Channel Model	p. 465
E.2.2 Centralized Receiver and Decision-Feedback Equalization	p. 466
E.2.3 Decentralized Receivers and Precoding	p. 466
E.3 Discussion	p. 468
E.3.1 ISI Channels	p. 468
E.3.2 Application of Channel Coding	p. 469
E.3.3 Application of Signal Shaping	p. 470
E.3.4 Rate and Power Distribution	p. 470
References	p. 471
Appendix F List of Symbols, Variables, and Acronyms	p. 475
F.1 Important Sets of Numbers and Constants	p. 475
F.2 Transforms, Operators, and Special Functions	p. 476
F.3 Important Variables	p. 478
F.4 Acronyms	p. 479
Index	p. 483

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