Title :
An application of the LMS algorithm in smoothing pseudo-Wigner distribution
Author :
Amin, Moeness G. ; Davis, Paul J. ; Allen, Fred, Jr.
Author_Institution :
Dept. of Electr. Eng., Villanova Univ., PA, USA
fDate :
2/1/1993 12:00:00 AM
Abstract :
It is shown that the least-mean-square (LMS) adaptive algorithm, if implemented in the frequency domain, can separate the autoterms from the cross terms in Wigner-Ville distributions. This separation is achieved over the process stationary interval, and as such, is more evident in a slowly varying environment. It is demonstrated that the LMS simulates an exponentially smoothed pseudo-Wigner distribution. The time constant of the smoothing window is inversely proportional to the step-size parameter used in the algorithm
Keywords :
adaptive filters; filtering and prediction theory; frequency-domain analysis; least squares approximations; statistical analysis; LMS algorithm; Wigner-Ville distributions; autoterms; cross terms; exponentially smoothed pseudo-Wigner distribution; frequency domain adaptive filtering; smoothing window; time constant; Adaptive algorithm; Adaptive filters; Biomedical engineering; Frequency domain analysis; Kernel; Least squares approximation; Signal processing algorithms; Smoothing methods; Spectral analysis; Time frequency analysis;
Journal_Title :
Signal Processing, IEEE Transactions on
