DocumentCode :
1536274
Title :
Detection of stochastic signals in the frequency domain
Author :
Chan, Y.T. ; Yuan, Q. ; So, H.C. ; Inkol, R.
Author_Institution :
Dept. of Electr. & Comput. Eng., R. Mil. Coll. of Canada, Kingston, Ont., Canada
Volume :
37
Issue :
3
fYear :
2001
fDate :
7/1/2001 12:00:00 AM
Firstpage :
978
Lastpage :
988
Abstract :
The optimum detector for a random signal, the estimator-correlator, is difficult to implement. If the power spectral density (PSD) of a continuous time signal is known, a locally optimum detector is available. It maximizes the deflection ratio (DR), a measure of the detector output signal-to-noise ratio (SNR). A discrete version of this detector is developed here, called the discrete-MDRD, which takes a weighted sum of the spectral components of the signal data as the detection statistic. Its derivation is applicable to nonwhite noise samples as well. A comparison of this new detector against three other common types, through their DR values and simulation results, reveals that the discrete-MDRD is near optimal at low SNRs. When the PSD of a signal is not known, a common test statistic is the peak of the PSD of the data. To reduce spectral variations, the PSD estimator first divides the data sequence into several segments and then forms the averaged PSD estimate. The segment length affects the DR values; the length that maximizes the DR is approximately the reciprocal of the signal bandwidth. Thus for unknown signal PSD, a detector that approaches the maximum DR is realizable from just the knowledge of the signal bandwidth, which is normally available. Examples and simulation results are provided to illustrate the properties and performance of the new detector
Keywords :
signal detection; continuous time signal; discrete-MDRD; frequency domain; locally optimum detector; maximum deflection ratio detector; power spectral density estimator; random signal; signal-to-noise ratio; stochastic signal detection; Bandwidth; Frequency domain analysis; Phase detection; Phase frequency detector; Radar detection; Signal detection; Signal to noise ratio; Sonar detection; Stochastic processes; Stochastic resonance;
fLanguage :
English
Journal_Title :
Aerospace and Electronic Systems, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9251
Type :
jour
DOI :
10.1109/7.953251
Filename :
953251
Link To Document :
بازگشت