Due to a steady flow of requests over several years, Springer-Verlag now provides a corrected reprint of this text. It is designed to serve as a text for a first semester graduate level course for students in digital communication systems. As a pre­ requisite, it is presumed that the reader has an understanding of basic probability and stochastic processes. The treatment of digital communications in this book is intended to serve as an introduction to the subject. Part one is a development of the elements of statistical communication theory and radar detection. The text begins with a general model of a communication system which is extensively developed and the performance analyses of various conventional systems. The first part also serves as introductory material for the second part of the text which is a comprehensive study of the theory of transmitter optimization for coherent and noncoherent digital commu­ nication systems, that is, the theory of signal design.

One Elements of Detection.- 1 Introduction.- 2 A mathematical model.- 3 General decision-theory concepts.- 4 Binary detection systems minimizing the average risk.- 5 Minimax decision-rule concepts.- 6 Radar detection theory.- 7 Binary composite-hypothesis testing.- 8 Detection and communication in colored noise.- 9 Detecting a stochastic signal in noise.- 10 M-ary digital communication systems.- Two Signal Design.- 11 Introduction.- 12 Problem statement for coherent channels.- 13 Signal design when the dimensionality of the signal set is restricted to 2.- 14 General theory.- 15 Optimality for coherent systems when dimensionality is not specified: regular simplex coding.- 16 Optimality for coherent systems when the dimensionality is restricted to D ? M ? 2.- 17 Optimality for Coherent Systems when the Dimensionality is Restricted to D ? M ? K, where K ? M/2.- 18 Additional Solutions for Three-Dimensional Signal Structures.- 19 Signal-Design Concepts for Noncoherent Channels.- APPENDIX A Summary of conditional gaussian probability density functions.- APPENDIX B Karhunen-Loeve expansion.- APPENDIX C Modified Bessel function of the first kind.- APPENDIX E Summary of tetrachoric series.- APPENDIX F Chi-Squared distribution.