Frontmatter......Page 1
Contents......Page 9
Preface......Page 17
Acknowledgements......Page 18
1 - Introduction......Page 19
2 - Review of basic ideas from digital communication......Page 30
3 - Digital communication systems and filter banks......Page 88
4 - Discrete-time representations......Page 131
5 - Classical transceiver techniques......Page 185
6 - Channel capacity......Page 234
7 - Channel equalization with transmitter redundancy......Page 262
8 - The lazy precoder with a zero-forcing equalizer......Page 313
9 - History and outline......Page 335
10 - Single-input single-output transceiver optimization......Page 350
11 - Optimal transceivers for diagonal channels......Page 388
12 - MMSE transceivers with zero-forcing equalizers......Page 415
13 - MMSE transceivers without zero forcing......Page 448
14 - Bit allocation and power minimization......Page 470
15 - Transceivers with orthonormal precoders......Page 495
16 - Minimization of error probability in transceivers......Page 512
17 - Optimization of cyclic-prefix transceivers......Page 546
18 - Optimization of zero-padded systems......Page 595
19 - Transceivers with decision feedback equalizers......Page 610
20 - Matrix differentiation......Page 678
21 - Convexity, Schur convexity and majorization theory......Page 712
22 - Optimization with equality and inequality constraints......Page 748
Appendix A - Inner products, norms, and inequalities......Page 768
Appendix B - Matrices: a brief overview......Page 771
Appendix C - Singular value decomposition......Page 784
Appendix D - Properties of pseudocirculant matrices......Page 789
Appendix E - Random processes......Page 797
Appendix F - Wiener filtering......Page 810
Appendix G - Review of concepts from sampling theory......Page 820
Appendix H - Euclid's algorithm......Page 826
Appendix I - Transceiver optimization: summary and tables......Page 830
Glossary......Page 843
Acronyms......Page 844
References......Page 845
Index......Page 863