DETECTION OF RANDOM SIGNALS IN DEPENDENT GAUSSIAN NOISE
Antonio F. Gualtierotti
Oprawa:
TWARDA
Wydawca:
Springer International Publishing
ISBN:
9783319223148
Opis produktu
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 CramęrHida representations and stochastic calculus for which a somewhat different approach was used than in their usual standalone context./One main applicable result of the book involves arriving at a general solution to the canonical detection problem for active sonar in a reverberationlimited 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 statiProlog. Part I: Reproducing Kernel Hilbert Spaces. Part II: CramęrHida Representations. Part III: Likelihoods. Credits and Comments. Notation and Terminology. RefThe book rigorously develops the mathematical foundations to assess the possible likelihoods for detection problems with Gaussian noise. The text would be very useful for graduate students and researchers alike in the fields of mathematics engineering and statistics.Ł (John Schmeelk zbMATH 1364.60004 2017)<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 CramęrHida representations and stochastic calculus for which a somewhat different approach was used than in their usual standalone context./brbrOne main applicable result of the book involves arriving at a general solution to the canonical detection problem for active sonar in a reverberationlimited 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./brbrThe 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 statiDerives a new likelihood function for solving basic problems in the theory of signal detection/Completes the CramęrHida representation theory/Investigates the scope of the signalplusnoise model/Includes the necessary deWymiary: 2347 gr 155 mm 235 mm
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Ostatnia aktualizacja:
28-03-2024