Abstract
A method for minimization of the mean square error (MSE) of the instantaneous frequency estimation using time-frequency distributions, in the case of a discrete optimization parameter, is presented. It does not require a knowledge of the estimation bias. The method is illustrated on adaptive window width determination in the Wigner distribution.
Highlights
INSTANTANEOUS frequency (IF) estimators based on maxima of time-frequency representations have variance and bias that are highly dependent on the lag window width
Provided that signal and noise parameters are known, by minimizing the estimation mean squared error (MSE), the optimal window width may be determined. Those parameters are not available in advance. It is especially true for the IF derivatives that determine the estimation bias
The efficiency of the algorithm developed here is illustrated on the Wigner distribution (WD) based IF estimator, [6]
Summary
Abstract—A method for minimization of the mean square error (MSE) of the instantaneous frequency estimation using timefrequency distributions, in the case of a discrete optimization parameter, is presented. It does not require knowledge of the estimation bias. The method is illustrated on adaptive window width determination in the Wigner distribution
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