Design of detectors based on stochastic resonance

Saha, Aditya A and Anand, GV (2003) Design of detectors based on stochastic resonance. In: Signal Processing, 83 (6). 1193 -1212.

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Abstract

This paper presents a study of the phenomenon of stochastic resonance in quantizers, and discusses the use of this phenomenon for the detection of weak sinusoidal signals in noise. Stochastic resonance in 2-level, symmetric 3-level, and symmetric multilevel quantizers is investigated. Expressions are derived for the signal-to-noise ratio (SNR) gain of the quantizers driven by a small amplitude sinsuoidal signal and i.i.d. noise. The gain depends on the probability density function (PDF) of the input noise, and for a given noise PDF, the gain can be maximized by a proper choice of the quantizer thresholds. The maximum gain GSR is less than unity if the input noise is Gaussian, but several non-Gaussian noise PDFs yield values of GSR exceeding unity. Thus, the quantizers provide an e5ective enhancement in the SNR, which can be utilized to design a nonlinear signal detector whose performance is better than that of the matched 6lter. The nonlinear detector in consideration consists of a stochastically resonating (SR) quantizer followed by a correlator. An asymptotic expression for the probability of detection of the SR detector is derived. It is shown that the detection performance of the SR detector is better than that of the matched 6lter for a large class of noise distributions belonging to the generalized Gaussian and the mixture-of-Gaussian families.

Item Type:	Journal Article
Publication:	Signal Processing
Publisher:	Elsevier
Additional Information:	Copy right of this article belongs to Elsevier.
Keywords:	Stochastic resonance;Threshold nonlinearity;Quantizer;Suboptimal detector;Passive detection;Non-Gaussian noise;Marine noise
Department/Centre:	Division of Electrical Sciences > Electrical Communication Engineering
Date Deposited:	22 Jun 2006
Last Modified:	19 Sep 2010 04:29
URI:	http://eprints.iisc.ac.in/id/eprint/7662

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