DocumentCode :
2466196
Title :
Discrete rotational Gabor transform
Author :
Akan, Aydzn ; Chaparro, Luis F.
Author_Institution :
Dept. of Electr. Eng., Pittsburgh Univ., PA, USA
fYear :
1996
fDate :
18-21 Jun 1996
Firstpage :
169
Lastpage :
172
Abstract :
In this paper, we present a discrete rotational Gabor transform and apply it to signal representation on a non-rectangular time-frequency plane tiling. We use a modified version of the recently proposed discrete rotational Fourier transform. The rotational Gabor transform decomposes a signal using as basis functions scaled, translated and modulated by linear chirps windows. As a result, the time-varying frequency content of a signal is represented better than with sinusoidal modulated expansions. For a multi-component signal, the Gabor coefficients are obtained by combining different tilings to maximize a local energy concentration measure. This permits us to achieve a highly localized time-frequency signal representation. Examples are given to illustrate the transformation
Keywords :
chirp modulation; discrete Fourier transforms; signal representation; time-frequency analysis; Gabor coefficients; basis functions; discrete rotational Fourier transform; discrete rotational Gabor transform; linear chirps; local energy concentration measure; multi-component signal; nonrectangular time-frequency plane tiling; signal decomposition; signal representation; time-varying frequency content; Chirp; Differential equations; Discrete Fourier transforms; Discrete transforms; Displays; Fourier transforms; Kernel; Signal analysis; Signal synthesis; Time frequency analysis;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Time-Frequency and Time-Scale Analysis, 1996., Proceedings of the IEEE-SP International Symposium on
Conference_Location :
Paris
Print_ISBN :
0-7803-3512-0
Type :
conf
DOI :
10.1109/TFSA.1996.547208
Filename :
547208
Link To Document :
بازگشت