Time and frequency split Zak transform for finite Gabor expansion

Author

Pei, Soo-Chang ; Yeh, Min-Hung

Author_Institution

Dept. of Electr. Eng., Nat. Taiwan Univ., Taipei, Taiwan

Volume

3

fYear

1995

fDate

30 Apr-3 May 1995

Firstpage

1876

Abstract

The relationship between the finite discrete Zak transform and the finite Gabor expansion are discussed in this paper. We present two DFT-based algorithms for computing Gabor coefficients. One is based upon the time-split Zak transform, the other upon the frequency-split Zak transform. These two methods are time and frequency dual pairs. Furthermore, we extend the relationship between the finite discrete Zak transform and the Gabor expansion to the 2-D case and compute 2-D Gabor expansion coefficients through the 2-D discrete Zak transform and 4-D DFT. Four methods can be applied in the 2-D case. They are time-time-split, time-frequency-split, frequency-time-split and frequency-frequency-split

Keywords

discrete Fourier transforms; transforms; 2D transform; 4D transform; DFT algorithm; dual pairs; finite Gabor expansion; finite discrete Zak transform; frequency-split Zak transform; time-split Zak transform; Discrete transforms; Equations; Frequency domain analysis; Image analysis; Image coding; Image reconstruction; Sampling methods; Time frequency analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1995. ISCAS '95., 1995 IEEE International Symposium on

Conference_Location

Seattle, WA

Print_ISBN

0-7803-2570-2

Type

conf

DOI

10.1109/ISCAS.1995.523783

Filename

523783