Title :
Stable critically-sampled Gabor transform with localized biorthogonal function
Author :
Ahmed, Osama A. ; Fahmy, Moustafa M.
Author_Institution :
Dept. of Electr. Eng., King Fahd Univ. of Pet. & Miner., Dhahran, Saudi Arabia
Abstract :
In this paper, a new critically-sampled Gabor transform is presented. This transform, unlike all currently available critically-sampled Gabor transforms, leads to a stable transform. In addition, the resulting biorthogonal function, which is unique in the critical sampling case, is well localized in both time and frequency. It thus overcomes the main two problems of previous transforms
Keywords :
discrete transforms; numerical stability; signal sampling; time-frequency analysis; discrete transforms; frequency localized function; localized biorthogonal function; signal decomposition; stable critically-sampled Gabor transform; time localized function; time-frequency plane; Discrete Fourier transforms; Discrete transforms; Frequency domain analysis; Kernel; Minerals; Petroleum; Sampling methods; Stability; Testing; Time frequency analysis;
Conference_Titel :
Time-Frequency and Time-Scale Analysis, 1998. Proceedings of the IEEE-SP International Symposium on
Conference_Location :
Pittsburgh, PA
Print_ISBN :
0-7803-5073-1
DOI :
10.1109/TFSA.1998.721355
