Non-Gaussian Statistical Communication Theory

David Middleton, PhD, graduated from Harvard University where he began his career at the institution's Radio Research Laboratory—working on radar countermeasures as well as passive and active jamming during World War II—before teaching there. A recipient of numerous prizes and awards related to his work on communication theory, Dr. Middleton was a fellow of the IEEE, the American Physical Society, the Acoustical Society of America, and the American Association for the Advancement of Science.

• Foreword xvVisualizing the Invisible xviiAcknowledgments xxiAbout the Author xxiiiEditor's Note xxvIntroduction 11 Reception as a Statistical Decision Problem 151.1 Signal Detection and Estimation, 151.2 Signal Detection and Estimation, 171.3 The Reception Situation in General Terms, 221.4 System Evaluation, 271.5 A Summary of Basic Definitions and Principal Theorems, 351.6 Preliminaries: Binary Bayes Detection, 401.7 Optimum Detection: On–Off Optimum Processing Algorithms, 461.8 Special On–Off Optimum Binary Systems, 501.9 Optimum Detection: On–Off Performance Measures and System Comparisons, 571.10 Binary Two-Signal Detection: Disjoint and Overlapping Hypothesis Classes, 692 Space-Time Covariances and Wave Number Frequency Spectra: I. Noise and Signals with Continuous and Discrete Sampling 772.1 Inhomogeneous and Nonstationary Signal and Noise Fields I: Waveforms, Beam Theory, Covariances, and Intensity Spectra, 782.2 Continuous Space-Time Wiener-Khintchine Relations, 912.3 The W–Kh Relations for Discrete Samples in the Non-Hom-Stat Situation, 1022.4 The Wiener–Khintchine Relations for Discretely Sampled Random Fields, 1082.5 Aperture and Arrays-I: An Introduction, 1152.6 Concluding Remarks, 1383 Optimum Detection, Space-Time Matched Filters, and Beam Forming in Gaussian Noise Fields 1413.1 Optimum Detection I: Selected Gaussian Prototypes-Coherent Reception, 1423.2 Optimum Detection II: Selected Gaussian Prototypes-Incoherent Reception, 1543.3 Optimal Detection III: Slowly Fluctuating Noise Backgrounds, 1763.4 Bayes Matched Filters and Their Associated Bilinear and Quadratic Forms, I, 1883.5 Bayes Matched Filters in the Wave Number–Frequency Domain, 2193.6 Concluding Remarks, 2354 Multiple Alternative Detection 2394.1 Multiple-Alternative Detection: The Disjoint Cases, 2394.2 Overlapping Hypothesis Classes, 2544.3 Detection with Decisions Rejection: Nonoverlapping Signal Classes, 2625 Bayes Extraction Systems: Signal Estimation and Analysis, p(H1) = 1 2715.1 Decision Theory Formulation, 2725.2 Coherent Estimation of Amplitude (Deterministic Signals and Normal Noise, p(H1) = 1), 2875.3 Incoherent Estimation of Signal Amplitude (Deterministic Signals and Normal Noise, p(H1) = 1), 2945.4 Waveform Estimation (Random Fields), 3005.5 Summary Remarks, 3046 Joint Detection and Estimation, p(H1) ≤ 1: I. Foundations 3076.1 Joint Detection and Estimation under Prior Uncertainty [p(H1)≤ 1]: Formulation, 3096.2 Optimal Estimation [ p(H1) ≤ 1]: No Coupling, 3156.3 Simultaneous Joint Detection and Estimation: General Theory, 3266.4 Joint D and E: Examples–Estimation of Signal Amplitudes [p(H1) ≤ 1], 3506.5 Summary Remarks, p(H)1 ≤ 1: I-Foundations, 3787 Joint Detection and Estimation under Uncertainty, pk(H1) < 1.II. Multiple Hypotheses and Sequential Observations 3817.1 Jointly Optimum Detection and Estimation under Multiple Hypotheses, p(H1) ≤ 1, 3827.2 Uncoupled Optimum Detection and Estimation, Multiple Hypotheses, and Overlapping Parameter Spaces, 4007.3 Simultaneous Detection and Estimation: Sequences of Observations and Decisions, 4077.4 Concluding Remarks, 4288 The Canonical Channel I: Scalar Field Propagation in a Deterministic Medium 4358.1 The Generic Deterministic Channel: Homogeneous Unbounded Media, 4378.2 The Engineering Approach: I-The Medium and Channel as Time-Varying Linear Filters (Deterministic Media), 4658.3 Inhomogeneous Media and Channels-Deterministic Scatter and Operational Solutions, 4738.4 The Deterministic Scattered Field in Wave Number-Frequency Space: Innovations, 4948.5 Extensions and Innovations, Multimedia Interactions, 4998.6 Energy Considerations, 5098.7 Summary: Results and Conclusions, 5359 The Canonical Channel II: Scattering in Random Media; "Classical" Operator Solutions 5399.1 Random Media: Operational Solutions-First- and Second-Order Moments, 5419.2 Higher Order Moments Operational Solutions for The Langevin Equation, 5659.3 Equivalent Representations: Elementary Feynman Diagrams, 5809.4 Summary Remarks, 598References, 599Appendix A1 601Index 617