Abstract
By using the discrete Gabor transform or expansion, the time domain sequences are mapped into the joint time-frequency domain matrices or vice versa. In many applications, it is more effective to process signals, i.e., two dimensional matrices, in the joint time-frequency domain than in the time or frequency domain alone. From the mathematical point of view, the processing of the discrete Gabor coefficients is no more than the matrix computation. So it is beneficial to understand the properties of the Gabor coefficient matrix. In this paper, we shall investigate the rank of the Gabor coefficient matrix of a one dimensional time domain signal, which is one of the most important matrix properties.
| Original language | English |
|---|---|
| Pages (from-to) | 803-807 |
| Number of pages | 5 |
| Journal | Conference Record of the Asilomar Conference on Signals, Systems and Computers |
| Volume | 1 |
| Publication status | Published - 1998 |
| Externally published | Yes |
| Event | Proceedings of the 1998 32nd Asilomar Conference on Signals, Systems & Computers. Part 1 (of 2) - Pacific Grove, CA, USA Duration: 1 Nov 1998 → 4 Nov 1998 |
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Xia, X. G., & Qian, S. (1998). Gabor transforms: Some new properties on the Gabor transform matrix. Conference Record of the Asilomar Conference on Signals, Systems and Computers, 1, 803-807.