DocumentCode :
1419520
Title :
Analytic behavior of the LMS adaptive line enhancer for sinusoids corrupted by multiplicative and additive noise
Author :
Ghogho, Mounir ; Ibnkahla, Mohamed ; Bershad, Neil J.
Author_Institution :
ENSEEIHT, Toulouse, France
Volume :
46
Issue :
9
fYear :
1998
fDate :
9/1/1998 12:00:00 AM
Firstpage :
2386
Lastpage :
2393
Abstract :
The least mean squares adaptive line enhancer (LMS ALE) has been widely used for the enhancement of coherent sinusoids in additive wideband noise. This paper studies the behavior of the LMS ALE when applied to the enhancement of sinusoids that have been corrupted by both colored multiplicative and white additive noise. The multiplicative noise decorrelates the sinusoid, spreads its power spectrum, and acts as an additional corrupting noise. Closed-form expressions are derived for the optimum (Wiener filter) ALE output SNR as a function of the residual coherent sine wave power, the noncoherent sine wave power spectrum, and the background additive white noise. When the coherent to noncoherent sine wave power ratio is sufficiently small, it is shown that a nonlinear (e.g., square law) transformation of the ALE input results in a larger optimum ALE output SNR
Keywords :
Wiener filters; adaptive filters; adaptive signal processing; correlation methods; filtering theory; least mean squares methods; spectral analysis; white noise; ALE input; LMS adaptive line enhancer; Wiener filter; additive wideband noise; background additive white noise; closed-form expressions; coherent sinusoids enhancement; coherent to noncoherent sine wave power ratio; colored multiplicative noise; decorrelation; least mean squares; noncoherent sine wave power spectrum; nonlinear transformation; optimum ALE output SNR; output SNR; power spectrum spreading; residual coherent sine wave power; square law; Additive noise; Associate members; Decorrelation; Frequency; Least squares approximation; Line enhancers; Radar signal processing; Signal processing; Signal to noise ratio; Wideband;
fLanguage :
English
Journal_Title :
Signal Processing, IEEE Transactions on
Publisher :
ieee
ISSN :
1053-587X
Type :
jour
DOI :
10.1109/78.709525
Filename :
709525
Link To Document :
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