Reassignment method: Difference between revisions

Revision as of 13:59, 19 June 2023

Revision as of 10:24, 17 January 2024

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== The method of reassignment ==

Pioneering work on the method of reassignment was published by Kodera, Gendrin, and de Villedary under the name of ''Modified Moving Window Method'' .<ref>{{cite journal |author1=K. Kodera |author2=R. Gendrin |author3=C. de Villedary |name-list-style=amp |date=Feb 1978 |title=Analysis of time-varying signals with small BT values |journal=IEEE Transactions on Acoustics, Speech, and Signal Processing |volume=26 |issue=1 |pages=64–76 |doi=10.1109/TASSP.1978.1163047 }}</ref> Their technique enhances the resolution in time and frequency of the classical Moving Window Method (equivalent to the spectrogram) by assigning to each data point a new time-frequency coordinate that better-reflects the distribution of energy in the analyzed signal.

In the classical moving window method, a time-___domain signal, <math>x(t)</math> is decomposed into a set of coefficients, <math>\epsilon( t, \omega )</math>, based on a set of elementary signals, <math>h_{\omega}(t)</math>, defined