On Phase-Magnitude Relationships in the Short-Time Fourier Transform

被引：40
|
作者：
Auger, Francois [1 ]
Chassande-Mottin, Eric [2 ]
Flandrin, Patrick [3 ]
机构：
[1] LUNAM Univ, IREENA, CRTT, F-44602 St Nazaire, France
[2] Univ Paris Diderot, CNRS IN2P3, CEA Irfu, Lab AstroParticule & Cosmol,ADAMIS Team, F-75205 Paris 13, France
[3] Ecole Normale Super Lyon, Dept Phys, UMR CNRS 5672, F-69364 Lyon 07, France
来源：
IEEE SIGNAL PROCESSING LETTERS | 2012年 / 19卷 / 05期
关键词：
Magnitude; phase; reassignment; short-time fourier transform; time-frequency; FREQUENCY; REPRESENTATIONS; REASSIGNMENT;
D O I：
10.1109/LSP.2012.2190279
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
A complete evaluation of first-order, second-order and mixed derivatives is proposed for both the (log-)magnitude and the phase of a given Short-Time Fourier Transform (STFT), leading to equivalent expressions based on additional STFTs with specific windows. Consequences are drawn in terms of phase-magnitude relationships, resulting in new formulations of time-frequency techniques such as reassignment, as well as new insights in the structure of admissible STFTs in some special cases.
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页码：267 / 270
页数：4
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