Time and Frequency Split Zak Transform for Finite Gabor Expansion - Circuits and Systems, 1995. ISCAS '95., 1995 IEEE International Symposium on
نویسندگان
چکیده
The relationship between finite discrete Zak transform and finite Gabor expansion are well discussed in this paper. In this paper, we present two DFT-based algorithms for computing Gabor coefficients. One is based upon the time-split Zak transform, the other is frequencysplit Zak transform. These two methods are time and frequency dual pairs. Furthermore, we extend the relationship between finite discrete Zak transform and Gabor expansion to the 2-D case and compute 2-D Gabor expansion coefficients through 2-D discrete Zak transform and 4-D DFT. Four methods can be applied in the 2D case. They are time-time-split, time-frequency-split, frequency-time-split and frequency-frequency-split.
منابع مشابه
Time and frequency split Zak transform for finite Gabor expansion
The relationship between finite discrete Zak transform and finite Gabor expansion are well discussed in this paper. In this paper, we present two DFT-based algorithms for computing Gabor coefficients. One is based upon the time-split Zak transform, the other is based upon the frequency-split Zak transform. These two methods are time and frequency dual pairs. With the help of Zak transform, the ...
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