Detection Of Random Signals In Dependent Gaussian Noise

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Detection Of Random Signals In Dependent Gaussian Noise

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Author : Antonio F. Gualtierotti
language : en
Publisher: Springer
Release Date : 2015-12-15

Detection Of Random Signals In Dependent Gaussian Noise written by Antonio F. Gualtierotti and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-15 with Mathematics categories.

The book presents the necessary mathematical basis to obtain and rigorously use likelihoods for detection problems with Gaussian noise. To facilitate comprehension the text is divided into three broad areas – reproducing kernel Hilbert spaces, Cramér-Hida representations and stochastic calculus – for which a somewhat different approach was used than in their usual stand-alone context. One main applicable result of the book involves arriving at a general solution to the canonical detection problem for active sonar in a reverberation-limited environment. Nonetheless, the general problems dealt with in the text also provide a useful framework for discussing other current research areas, such as wavelet decompositions, neural networks, and higher order spectral analysis. The structure of the book, with the exposition presenting as many details as necessary, was chosen to serve both those readers who are chiefly interested in the results and those who want to learn the material from scratch. Hence, the text will be useful for graduate students and researchers alike in the fields of engineering, mathematics and statistics.

Signal Detection In Non Gaussian Noise

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Author : Saleem A. Kassam
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Signal Detection In Non Gaussian Noise written by Saleem A. Kassam and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.

This book contains a unified treatment of a class of problems of signal detection theory. This is the detection of signals in addi tive noise which is not required to have Gaussian probability den sity functions in its statistical description. For the most part the material developed here can be classified as belonging to the gen eral body of results of parametric theory. Thus the probability density functions of the observations are assumed to be known, at least to within a finite number of unknown parameters in a known functional form. Of course the focus is on noise which is not Gaussian; results for Gaussian noise in the problems treated here become special cases. The contents also form a bridge between the classical results of signal detection in Gaussian noise and those of nonparametric and robust signal detection, which are not con sidered in this book. Three canonical problems of signal detection in additive noise are covered here. These allow between them formulation of a range of specific detection problems arising in applications such as radar and sonar, binary signaling, and pattern recognition and classification. The simplest to state and perhaps the most widely studied of all is the problem of detecting a completely known deterministic signal in noise. Also considered here is the detection random non-deterministic signal in noise. Both of these situa of a tions may arise for observation processes of the low-pass type and also for processes of the band-pass type.

Advanced Theory Of Signal Detection

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Author : Iickho Song
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Advanced Theory Of Signal Detection written by Iickho Song and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Technology & Engineering categories.

We have some time ago noticed that finding a book dealing with topics in the ad vanced theory and applications of signal detection is not quite an easy matter. This is contrasted with that there are numerous books on the more general subject of de tection and estimation.Frankly, ourexperience and expertise is only on some partial portions of the theory and recent topics of signal detection. This book is therefore meant to include not all the advanced and interesting topics in the theory and appli cations ofsignal detection, butjust onlysome subsets of them: some such important and interesting topics and issues as distributed signal detection and sequential de tection are not considered only due to our limited knowledge and capacity. The goal we have in mind for this book is to present several advanced topics in signal detection theory and thereby help readers gain novel ideas and insights. In this book, we have tried to completely present in a unified way the theme oflocally optimum detection ofsignals in generalized observations. Among our hope is thus that the readers would be able to understand the concepts and fundamentals of a generalized observation model as applied to signal detection problems. This book will also allow the readers, whether they are students, academics, practitioners, or researchers, to have an expanded view on signal detection.

Signal Detection Theory

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Author : Vyacheslav P. Tuzlukov
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14

Signal Detection Theory written by Vyacheslav P. Tuzlukov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Technology & Engineering categories.

Increasing the noise immunity of complex signal processing systems is the main problem in various areas of signal processing. At the present time there are many books and periodical articles devoted to signal detection, but many important problems remain to be solved. New approaches to complex problems allow us not only to summarize investigations, but also to improve the quality of signal detection in noise. This book is devoted to fundamental problems in the generalized approach to signal processing in noise based on a seemingly abstract idea: the introduction of an additional noise source that does not carry any information about the signal in order to improve the qualitative performance of complex signal processing systems. Theoretical and experimental studies carried out by the author lead to the conclusion that the proposed generalized approach to signal processing in noise allows us to formulate a decision-making rule based on the determi nation of the jointly sufficient statistics of the mean and variance of the likelihood function (or functional). Classical and modern signal detection theories allow us to define only the sufficient statistic of the mean of the likelihood function (or functional). The presence of additional information about the statistical characteristics of the like lihood function (or functional) leads to better-quality signal detection in comparison with the optimal signal detection algorithms of classical and modern theories.

Mathematics In Signal Processing V

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Author : J. G. McWhirter
language : en
Publisher: Oxford University Press
Release Date : 2002

Mathematics In Signal Processing V written by J. G. McWhirter and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Computers categories.

This is a collection of papers from the IMA conference on Mathematics in Signal Processing. Signal processing is an important industrial area for the application of mathematical concepts - it has recently been fuelled by developments in mobile communications, multimedia systems and digital TV. This collection of papers presents a good coverage of current activity on this subject worldwide and is of interest to those in industry carrying out research into signal processing for communications, sonar, radar, navigation and biomedical applications, and to academic mathematicians identifying new mathematical problems.

Signal Detection

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Author : H. Vincent Poor
language : en
Publisher: JAI Press(NY)
Release Date : 1993

Signal Detection written by H. Vincent Poor and has been published by JAI Press(NY) this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.

An Introduction To Signal Detection And Estimation

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Author : H. Vincent Poor
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14

An Introduction To Signal Detection And Estimation written by H. Vincent Poor and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Technology & Engineering categories.

The purpose of this book is to introduce the reader to the basic theory of signal detection and estimation. It is assumed that the reader has a working knowledge of applied probability and random processes such as that taught in a typical first-semester graduate engineering course on these subjects. This material is covered, for example, in the book by Wong (1983) in this series. More advanced concepts in these areas are introduced where needed, primarily in Chapters VI and VII, where continuous-time problems are treated. This book is adapted from a one-semester, second-tier graduate course taught at the University of Illinois and at Princeton University. However, this material can also be used for a shorter or first-tier course by restricting coverage to Chapters I through V, which for the most part can be read with a background of only the basics of applied probability, including random vectors and conditional expectations. Sufficient background for the latter option is given for example in the book by Thomas (1986), also in this series. This treatment is also suitable for use as a text in other modes. For example, two smaller courses, one in signal detection (Chapters II, III, and VI) and one in estimation (Chapters IV, V, and VII), can be taught from the materials as organized here. Similarly, an introductory-level course (Chapters I through IV) followed by a more advanced course (Chapters V through VII) is another possibility.

Mathematical Foundations For Signal Processing Communications And Networking

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Author : Erchin Serpedin
language : en
Publisher: CRC Press
Release Date : 2017-12-04

Mathematical Foundations For Signal Processing Communications And Networking written by Erchin Serpedin and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-04 with Computers categories.

Mathematical Foundations for Signal Processing, Communications, and Networking describes mathematical concepts and results important in the design, analysis, and optimization of signal processing algorithms, modern communication systems, and networks. Helping readers master key techniques and comprehend the current research literature, the book offers a comprehensive overview of methods and applications from linear algebra, numerical analysis, statistics, probability, stochastic processes, and optimization. From basic transforms to Monte Carlo simulation to linear programming, the text covers a broad range of mathematical techniques essential to understanding the concepts and results in signal processing, telecommunications, and networking. Along with discussing mathematical theory, each self-contained chapter presents examples that illustrate the use of various mathematical concepts to solve different applications. Each chapter also includes a set of homework exercises and readings for additional study. This text helps readers understand fundamental and advanced results as well as recent research trends in the interrelated fields of signal processing, telecommunications, and networking. It provides all the necessary mathematical background to prepare students for more advanced courses and train specialists working in these areas.

Oar Quarterly Index Of Current Research Results

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Author : United States. Air Force. Office of Aerospace Research
language : en
Publisher:
Release Date : 1967

Oar Quarterly Index Of Current Research Results written by United States. Air Force. Office of Aerospace Research and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Aeronautics, Military categories.

Integrated Tracking Classification And Sensor Management

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Author : Mahendra Mallick
language : en
Publisher: John Wiley & Sons
Release Date : 2012-11-05

Integrated Tracking Classification And Sensor Management written by Mahendra Mallick and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-05 with Technology & Engineering categories.

A unique guide to the state of the art of tracking, classification, and sensor management This book addresses the tremendous progress made over the last few decades in algorithm development and mathematical analysis for filtering, multi-target multi-sensor tracking, sensor management and control, and target classification. It provides for the first time an integrated treatment of these advanced topics, complete with careful mathematical formulation, clear description of the theory, and real-world applications. Written by experts in the field, Integrated Tracking, Classification, and Sensor Management provides readers with easy access to key Bayesian modeling and filtering methods, multi-target tracking approaches, target classification procedures, and large scale sensor management problem-solving techniques. Features include: An accessible coverage of random finite set based multi-target filtering algorithms such as the Probability Hypothesis Density filters and multi-Bernoulli filters with focus on problem solving A succinct overview of the track-oriented MHT that comprehensively collates all significant developments in filtering and tracking A state-of-the-art algorithm for hybrid Bayesian network (BN) inference that is efficient and scalable for complex classification models New structural results in stochastic sensor scheduling and algorithms for dynamic sensor scheduling and management Coverage of the posterior Cramer-Rao lower bound (PCRLB) for target tracking and sensor management Insight into cutting-edge military and civilian applications, including intelligence, surveillance, and reconnaissance (ISR) With its emphasis on the latest research results, Integrated Tracking, Classification, and Sensor Management is an invaluable guide for researchers and practitioners in statistical signal processing, radar systems, operations research, and control theory.