Reassignment method: Difference between revisions

Revision as of 21:30, 12 December 2015

Revision as of 15:07, 5 June 2016

Line 97:

of any member of Cohen's class

<ref name = "improving">

{{cite journal |authorauthor1=F. Auger and |author2=P. Flandrin |lastauthoramp=yes |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 |publisher= |doi=10.1109/78.382394 |url= |accessdate= }}

time-scale representations by the reassignment method |journal=IEEE Transactions on Signal Processing |volume=43 |issue=5 |pages=1068–1089 |publisher= |doi=10.1109/78.382394 |url= |accessdate= }}

</ref>

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

Line 116 ⟶ 115:

name of ''Modified Moving Window Method''

<ref>

{{cite journal |authorauthor1=K. Kodera, |author2=R. Gendrin, and |author3=C. de Villedary |last-author-amp=yes |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 | publisher= |doi=10.1109/TASSP.1978.1163047 |url= |accessdate= }}

</ref>

Their technique enhances the resolution in time and

Line 191 ⟶ 190:

time, the variation of the phase spectrum is slow with

respect to frequency near the time of the impulse, and in

surrounding regions the variation is relatively rapid.

In reconstruction, positive and negative contributions to

Line 314 ⟶ 313:

<math>X_{\mathcal{D}h}(t,\omega)</math> is the short-time

Fourier transform computed using a time-derivative analysis

window <math>h_{\mathcal{D}}(t) = \frac{d}{dt}h(t)</math>.

Using the auxiliary window functions

Line 347 ⟶ 346:

derivatives of phase of any short-time Fourier transform

channel that passes the component. If the signal is to be

decomposed into many components,

<center><math>

Line 374 ⟶ 373:

estimated from the short-time Fourier transform. In such

cases, a different analysis window must be chosen so that

the separability criterion is satisfied.

If the components of a signal are separable in frequency

Line 452 ⟶ 451:

* [http://musicalgorithms.ewu.edu/algorithms/roughness.html SRA - A web-based research tool for spectral and roughness analysis of sound signals] (supported by a Northwest Academic Computing Consortium grant to J. Middleton, Eastern Washington University)

* [http://pnas.org/content/103/16/6094.long Sparse time-frequency representations - PNAS]

{{-Clear}}

{{Compression methods}}