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Detection of random signals in dependent Gaussian noise

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Detection of random signals in dependent Gaussian noise/ by Antonio F. Gualtierotti.
Author:	Gualtierotti, Antonio F.
Published:	Cham :Springer International Publishing : : 2015.,
Description:	xxxiv, 1176 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Random noise theory. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-22315-5
ISBN:	9783319223155

Detection of random signals in dependent Gaussian noise
Gualtierotti, Antonio F.

Detection of random signals in dependent Gaussian noise[electronic resource] /by Antonio F. Gualtierotti. - Cham :Springer International Publishing :2015. - xxxiv, 1176 p. :ill., digital ;24 cm.

Prolog -- Part I: Reproducing Kernel Hilbert Spaces -- Part II: Cramer-Hida Representations -- Part III: Likelihoods -- Credits and Comments -- Notation and Terminology -- References -- Index.

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, Cramer-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.

ISBN: 9783319223155

Standard No.: 10.1007/978-3-319-22315-5doiSubjects--Topical Terms:

771675
Random noise theory.

LC Class. No.: TK5102.5

Dewey Class. No.: 003.54

Detection of random signals in dependent Gaussian noise
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245 1 0 $a Detection of random signals in dependent Gaussian noise $h [electronic resource] / $c by Antonio F. Gualtierotti.
260 $a Cham : $c 2015. $b Springer International Publishing : $b Imprint: Springer,
300 $a xxxiv, 1176 p. : $b ill., digital ; $c 24 cm.
505 0 $a Prolog -- Part I: Reproducing Kernel Hilbert Spaces -- Part II: Cramer-Hida Representations -- Part III: Likelihoods -- Credits and Comments -- Notation and Terminology -- References -- Index.
520 $a 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, Cramer-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.
650 0 $a Random noise theory. $3 771675
650 1 4 $a Mathematics. $3 527692
650 2 4 $a Probability Theory and Stochastic Processes. $3 593945
650 2 4 $a Functional Analysis. $3 672166
650 2 4 $a Information and Communication, Circuits. $3 671312
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950 $a Mathematics and Statistics (Springer-11649)