Elements of Detection and 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.