Local instantaneous frequency estimation of multi-component signals

Authors:
Mahmut Öztürk;Aydın Akan
Affiliations:
Istanbul University, Department of Electrical and Electronics Engineering Avcilar, 34320 Istanbul, Turkey;Istanbul University, Department of Electrical and Electronics Engineering Avcilar, 34320 Istanbul, Turkey
Venue:
Computers and Electrical Engineering
Year:
2008

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Abstract

We present a method for estimating the instantaneous frequency (IF) of multi-component signals. This method involves the calculation of a time-frequency energy density of the signal, then obtaining a local IF estimate from this joint density. Time-frequency energy density is calculated as a least squares optimal combination of multi-window Gabor based evolutionary spectra. The optimal weights are obtained by minimizing an error criterion that is the difference between a reference time-frequency distribution and the combination of evolutionary spectra. IF of the signal components is estimated from the final evolutionary spectrum at small time-frequency regions as the average of frequencies at each time. As such, local IF information of a multi-component signal can be estimated in the time-frequency plane.