NDLI: A Parametric Approach to Suboptimal Signal Detection in <formula formulatype=inline><tex>$alpha$</tex></formula>-Stable Noise

Content Provider	IEEE Xplore Digital Library
Author	Zozor, S. Brossier, J.-M. Amblard, P.-O.
Copyright Year	1991
Abstract	This paper deals with the detection of a known deterministic signal embedded in alpha-stable noise. The implementation of the optimal receiver requires the explicit expression of the probability density function (pdf) of the noise. Unfortunately, since there exists no closed-form for the pdf of alpha-stable distributed random variables, numerical integrations are required. To avoid such numerical approximations, we suggest a low-complexity parametric suboptimal detector well matched to essential properties of alpha-stable noises. This receiver does not require the explicit expression of the noise pdf. In addition, parameter optimization is fast for several optimization criteria and the selected receiver allows retrieval of the optimal Gaussian detector (matched filter) as well as the locally optimal detector in the Cauchy context. The performance of the detector is studied and a comparison with the optimal solution along with a variety of classical detectors is given. The robustness of the detector against the signal amplitude and the stability index alpha of the noise is discussed
Sponsorship	IEEE Signal Processing Society
Starting Page	4497
Ending Page	4509
Page Count	13
File Size	1009119
File Format	PDF
ISSN	1053587X
Volume Number	54
Issue Number	12
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2006-12-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Signal detection Detectors Gaussian noise Acoustic noise Random variables Robust stability Probability density function Matched filters Noise robustness Noise level $\alpha$-stable noise Binary detection parametric suboptimal detection probability of error
Content Type	Text
Resource Type	Article
Subject	Signal Processing Electrical and Electronic Engineering

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