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Adaptive local polynomial periodogram for time-varying frequency estimation

Show simple item record Katkovnik Vladimir en 2012-11-01T16:31:40Z 2012-11-01T16:31:40Z 1996 en
dc.identifier.citation Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis en
dc.description.abstract The local polynomial periodogram enables one to obtain nonparametric estimates of the instantaneous frequency (IF) and its derivatives. The optimal choice of the window size based on asymptotic formulas for the variance and bias can resolve the bias-variance trade-off usual for nonparametric estimation. However the practical value of such optimal estimator is not large because the optimal window size depends on the unknown smoothness of the IF. The main goal of this paper is to develop an adaptive estimator with a time-varying and data-driven window size which is able to provide the quality close to that one which can be achieved if the smoothness of the IF is known in advance. The developed algorithm uses only the formulas for the variance of the estimates. Simulation shows a good tracking ability of the adaptive algorithm. en
dc.language.iso en en
dc.publisher IEEE, Piscataway, NJ, United States en
dc.subject Adaptive algorithms; Approximation theory; Computer simulation; Fourier transforms; Frequency domain analysis; Parameter estimation; Polynomials; Signal theory; Time domain analysis; Time varying systems; Adaptive estimator; Instantaneous frequency; Local polynomial approximation; Local polynomial periodogram; Time frequency distributions; Time varying frequency estimation; Signal processing en
dc.title Adaptive local polynomial periodogram for time-varying frequency estimation en
dc.type Conference Paper en

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