1 Introduction 1.1 Overview of the Book 1.2 Bibliography 2 Communicating with Points 2.1 Coherent Detectors for Two-Dimensional Constellations 2.2 Coherent Detectors for Multidimensional Orthogonal Constellations 2.3 Bi-Orthogonal Constellations 2.4 Simplex Constellations 2.5 Noncoherent Detectors for Multidimensional Orthogonal Constellations 2.6 Noncoherent Detectors for M-ary PSK 2.7 Coherent Detectors in Coloured Noise 2.8 Coherent Detectors for Frequency Nonselective (Flat) Fading Channels 2.9 Differential Detectors with Diversity for Flat Fading Channels 2.10 Summary 3 Channel Coding 3.1 The Convolutional Encoder 3.2 Are the Encoded Symbols Correlated? 3.3 Hard-Decision Decoding of Convolutional Codes 3.4 Soft-Decision Decoding of Convolutional Codes 3.5 Trellis Coded Modulation (TCM) 3.6 Maximization of the Shape Gain 3.7 Constellation Shaping by Shell Mapping 3.8 Turbo Codes 3.9 Summary 4 Transmission of Signals through Distortionless Channels 4.1 Linear Modulation 4.2 Synchronization for Linearly Modulated Signals 4.3 Nonlinear Modulation 4.4 Summary 5 Transmission of Signals Through Distorting Channels 5.1 Receivers Based on Equalization 5.2 Receivers Based on Maximum Likelihood Sequence 5.3 Multicarrier Communication 5.4 Summary Appendix A: Complex Differentiation Appendix B: The Cher off Bound Appendix C: On Groups and Finite Fields Appendix D: Properties of the Autocorrelation Matrix Appendix E: Some Aspects of Discrete-Time Signal Processing Appendix F: Time Domain Response for the Root-Raised Cosine Spectrum Appendix G: Parseval’s Energy Theorem Appendix H: Transmission of a Random Process Through a Filter Appendix I: Lowpass Equivalent Representation of Passband Systems Appendix J: Linear Prediction Appendix K: Eigen decomposition of a Circulant Matrix References Index