Reassignment method: Difference between revisions

Revision as of 16:03, 6 March 2020

Revision as of 00:57, 18 October 2020

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of any member of Cohen's class

<ref name = "improving">

{{cite journal |author1=F. Auger |author2=P. Flandrin |lastauthorampname-list-style=yesamp |date=May 1995 |title=Improving the readability of time-frequency and time-scale representations by the reassignment method |journal=IEEE Transactions on Signal Processing |volume=43 |issue=5 |pages=1068–1089 |doi=10.1109/78.382394 |bibcode=1995ITSP...43.1068A |url= |accessdate= |citeseerx=10.1.1.646.794 }}

</ref>

.<ref>P. Flandrin, F. Auger, and E. Chassande-Mottin,

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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 |lastname-authorlist-ampstyle=yesamp |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 |url= |accessdate=}}</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