DocumentCode
1465254
Title
On Phase-Magnitude Relationships in the Short-Time Fourier Transform
Author
Auger, François ; Chassande-Mottin, Éric ; Flandrin, Patrick
Author_Institution
IREENA, LUNAM Univ., Saint-Nazaire, France
Volume
19
Issue
5
fYear
2012
fDate
5/1/2012 12:00:00 AM
Firstpage
267
Lastpage
270
Abstract
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.
Keywords
Fourier transforms; signal processing; time-frequency analysis; STFT; phase-magnitude relationships; short-time Fourier transform; time-frequency techniques; Electronic mail; Equations; Fourier transforms; Materials; Spectrogram; Time frequency analysis; Vectors; Magnitude; phase; reassignment; short-time fourier transform; time-frequency;
fLanguage
English
Journal_Title
Signal Processing Letters, IEEE
Publisher
ieee
ISSN
1070-9908
Type
jour
DOI
10.1109/LSP.2012.2190279
Filename
6165644
Link To Document