DocumentCode :
1191164
Title :
Performance analysis of transient detectors based on a class of linear data transforms
Author :
Friedlander, B. ; Porat, B.
Author_Institution :
Signal Processing Technol. Ltd., Palo Alto, CA, USA
Volume :
38
Issue :
2
fYear :
1992
fDate :
3/1/1992 12:00:00 AM
Firstpage :
665
Lastpage :
673
Abstract :
The problem of detecting short-duration nonstationary signals, which are commonly referred to as transients, is addressed. Transients are characterized by a signal model containing some unknown parameters, and by a ´model mismatch´ representing the difference between the model and the actual signal. Both linear and nonlinear signal models are considered. The transients are assumed to undergo a noninvertible linear transformation prior to the application of the detection algorithm. Examples of such transforms include the short-time Fourier transform, the Gabor transform, and the wavelet transform. Closed-form expressions are derived for the worst-case detection performance for all possible mismatch signals of a given energy. These expressions make it possible to evaluate and compare the performance of various transient detection algorithms, for both single-channel and multichannel data. Numerical examples comparing the performance of detectors based on the wavelet transform and the short-time Fourier transform are presented.<>
Keywords :
Fourier transforms; signal detection; signal processing; transforms; transients; Gabor transform; linear data transforms; linear models; mismatch signals; multichannel data; nonlinear models; numerical examples; short-duration nonstationary signals; short-time Fourier transform; signal detection; signal model; single channel data; transient detectors; wavelet transform; worst-case detection performance; Acoustic signal detection; Detection algorithms; Detectors; Fourier transforms; Performance analysis; Sensor arrays; Signal analysis; Time frequency analysis; Transient analysis; Wavelet transforms;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/18.119729
Filename :
119729
Link To Document :
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