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
fDate :
5/1/2012 12:00:00 AM
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;
Journal_Title :
Signal Processing Letters, IEEE
DOI :
10.1109/LSP.2012.2190279
