Signal detection in para complex normal noise

Yonatan Woodbridge, Gal Elidan, Ami Wiesel

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In this paper we address target detection in correlated non-Gaussian noise. We introduce a powerful class of multivariate complex valued distribution that allows us to specify flexible non-Gaussian marginals, as well as correlation between the variables, while preserving circular symmetry. For noise belonging to this class, we study the fundamental problem of signal detection under different settings, and develop the needed (generalized) likelihood ratio tests. We also consider the problem of estimation of the noise parameters, and derive the maximum likelihood formulations. We compare the performance of the proposed methods using numerical simulations on synthetic data, and demonstrate the importance of using both correlations and non-Gaussiantiy.

Original languageEnglish
Title of host publication2016 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2016 - Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages4274-4278
Number of pages5
ISBN (Electronic)9781479999880
DOIs
StatePublished - 18 May 2016
Event41st IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2016 - Shanghai, China
Duration: 20 Mar 201625 Mar 2016

Publication series

NameICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Volume2016-May
ISSN (Print)1520-6149

Conference

Conference41st IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2016
Country/TerritoryChina
CityShanghai
Period20/03/1625/03/16

Bibliographical note

Publisher Copyright:
© 2016 IEEE.

Keywords

  • Circular symmetry
  • copula
  • detection
  • non-Gaussian

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