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. Language: English