Critically sampled Gabor transform with localized biorthogonal function

Author

Ahmed, Osama A. ; Fahmy, Moustafa M.

Author_Institution

King Fahd Univ. of Pet. & Miner., Dhahran, Saudi Arabia

Volume

4

fYear

1998

fDate

12-15 May 1998

Firstpage

2429

Abstract

A new implementation of the critically sampled nonperiodic real Gabor transform (GT) is presented for non-separable time-frequency (TF) plane sampling. In the propsed implementation, the quincunx sampling is used to sample the TF plane. This leads to a well localized biorthogonal function in both time and frequency. It thus overcomes the main problem of the previous implementations, which is the non-localization of the resultant biorthogonal function. A fast algorithm to compute the derived biorthogonal function is proposed

Keywords

functional analysis; matrix algebra; signal representation; signal sampling; time-frequency analysis; transforms; DCT; critically sampled Gabor transform; discrete signal; fast algorithm; localized biorthogonal function; matrix structure; modulated Gaussian pulse; nonseparable time-frequency plane sampling; quincunx sampling; signal representation; Filtering theory; Gabor filters; Lattices; Minerals; Petroleum; Power harmonic filters; Pulse modulation; Sampling methods; Signal analysis; Time frequency analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech and Signal Processing, 1998. Proceedings of the 1998 IEEE International Conference on

Conference_Location

Seattle, WA

ISSN

1520-6149

Print_ISBN

0-7803-4428-6

Type

conf

DOI

10.1109/ICASSP.1998.681641

Filename

681641