Non-Gaussian Statistical Communication Theory

David Middleton 지음

Wiley-IEEE Press 2012년 05월 11일 출간

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The book is based on the observation that communication is the central operation of discovery in all the sciences. In its quot;active modequot; we use it to quot;interrogatequot; the physical world, sending appropriate quot;signalsquot; and receiving nature's quot;replyquot;. In the quot;passive modequot; we receive nature's signals directly. Since we never know a prioriwhat particular return signal will be forthcoming, we must necessarily adopt a probabilistic model of communication. This has developed over the approximately seventy years since it's beginning, into a Statistical Communication Theory (or SCT). Here it is the set or ensemble of possible results which is meaningful. From this ensemble we attempt to construct in the appropriate model format, based on our understanding of the observed physical data and on the associated statistical mechanism, analytically represented by suitable probability measures.Since its inception in the late '30's of the last century, and in particular subsequent to World War II, SCT has grown into a major field of study. As we have noted above, SCT is applicable to all branches of science. The latter itself is inherently and ultimately probabilistic at all levels. Moreover, in the natural world there is always a random background quot;noisequot; as well as an inherent a priori uncertainty in the presentation of deterministic observations, i.e. those which are specifically obtained, a posteriori.The purpose of the book is to introduce Non-Gaussian statistical communication theory and demonstrate how the theory improves probabilistic model. The book was originally planed to include 24 chapters as seen in the table of preface. Dr. Middleton completed first 10 chapters prior to his passing in 2008. Bibliography which represents remaining chapters are put together by the author's close colleagues; Drs. Vincent Poor, Leon Cohen and John Anderson.email [e-mail] to request Ch

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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&n-Off Optimum Processing Algorithms, 461.8 Special On&n-Off Optimum Binary Systems, 501.9 Optimum Detection: On&n-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&n-Kh Relations for Discrete Samples in the Non-Hom-Stat Situation, 1022.4 The Wiener&n-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&n-Frequency Domain, 2193.6 Concluding Remarks, 2354 Multipl

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저자(글) David Middleton

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David Middleton, PhD, graduated from Harvard University where he began his career at the institution's Radio Research Laboratorym-working on radar countermeasures as well as passive and active jamming during World War IIm-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.