Name
Abstract | ||
|---|---|---|
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 lime and frequency dual pairs. With the help of Zak transform, the closed-form solutions for analysis basis can also be derived while the oversampling ratio is an integer. Moreover, 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 2-D case. They are time-time-split, time-frequency-split, frequency-time-split and frequency-frequency-split. |
Year | DOI | Venue |
|---|---|---|
1996 | 10.1016/0165-1684(96)00068-0 | Signal Processing |
Keywords | Field | DocType |
time frequency,closed form solution | Gabor–Wigner transform,Zak transform,Mathematical analysis,Short-time Fourier transform,Discrete Fourier transform (general),Discrete Hartley transform,Discrete sine transform,S transform,Gabor transform,Mathematics | Journal |
Volume | Issue | ISSN |
52 | 3 | 0165-1684 |
Citations | PageRank | References |
2 | 0.44 | 12 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Soo-Chang Pei | 1 | 60 | 6.87 |
| Min-Hung Yeh | 2 | 279 | 26.26 |