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Detection of Random Signals in Dependent Gaussian Noise

Authors: Gualtierotti, Antonio F.

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  • Derives a new likelihood function for solving basic problems in the theory of signal detection
  • Completes the Cramér-Hida representation theory
  • Investigates the scope of the signal-plus-noise model
  • Includes the necessary details to make the theory ready for application
  • References to statistical communication theory illustrate the power of the mathematics involved
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eBook $149.00
price for Mexico (gross)
  • ISBN 978-3-319-22315-5
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $199.99
price for Mexico
  • ISBN 978-3-319-22314-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $249.99
price for Mexico
  • Customers within the U.S. and Canada please contact Customer Service at +1-800-777-4643, Latin America please contact us at +1-212-460-1500 (24 hours a day, 7 days a week). Pre-ordered printed titles are excluded from promotions.
  • Due: 23 de marzo de 2017
  • ISBN 978-3-319-79392-4
  • Free shipping for individuals worldwide
About this book

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.

Reviews

“The 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.” (John Schmeelk, zbMATH 1364.60004, 2017)


Table of contents (17 chapters)

Table of contents (17 chapters)

Buy this book

eBook $149.00
price for Mexico (gross)
  • ISBN 978-3-319-22315-5
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $199.99
price for Mexico
  • ISBN 978-3-319-22314-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $249.99
price for Mexico
  • Customers within the U.S. and Canada please contact Customer Service at +1-800-777-4643, Latin America please contact us at +1-212-460-1500 (24 hours a day, 7 days a week). Pre-ordered printed titles are excluded from promotions.
  • Due: 23 de marzo de 2017
  • ISBN 978-3-319-79392-4
  • Free shipping for individuals worldwide
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Bibliographic Information

Bibliographic Information
Book Title
Detection of Random Signals in Dependent Gaussian Noise
Authors
Copyright
2015
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-22315-5
DOI
10.1007/978-3-319-22315-5
Hardcover ISBN
978-3-319-22314-8
Softcover ISBN
978-3-319-79392-4
Edition Number
1
Number of Pages
XXXIV, 1176
Number of Illustrations
5 b/w illustrations
Topics