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Time and frequency split Zak transform for finite Gabor expansion

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2 Author(s)
Pei, Soo-Chang ; Dept. of Electr. Eng., Nat. Taiwan Univ., Taipei, Taiwan ; Min-Hung Yeh

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

Published in:

Circuits and Systems, 1995. ISCAS '95., 1995 IEEE International Symposium on  (Volume:3 )

Date of Conference:

30 Apr-3 May 1995

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