Wei Dao-yun, Zhu Mei-long, Tao Liang. Real-valued Discrete Gabor Transform Based on DCT[J]. Journal of Electronics & Information Technology, 2007, 29(11): 2783-2786. doi: 10.3724/SP.J.1146.2006.00348
Citation:
Wei Dao-yun, Zhu Mei-long, Tao Liang. Real-valued Discrete Gabor Transform Based on DCT[J]. Journal of Electronics & Information Technology, 2007, 29(11): 2783-2786. doi: 10.3724/SP.J.1146.2006.00348
Wei Dao-yun, Zhu Mei-long, Tao Liang. Real-valued Discrete Gabor Transform Based on DCT[J]. Journal of Electronics & Information Technology, 2007, 29(11): 2783-2786. doi: 10.3724/SP.J.1146.2006.00348
Citation:
Wei Dao-yun, Zhu Mei-long, Tao Liang. Real-valued Discrete Gabor Transform Based on DCT[J]. Journal of Electronics & Information Technology, 2007, 29(11): 2783-2786. doi: 10.3724/SP.J.1146.2006.00348
A Real-valued Discrete Gabor Transform (RDGT) based on DCT for finite sequences is proposed in this paper, which can be applied to both the critical sampling condition and the over-sampling condition. And the biorthogonal relationship between the analysis window and synthesis window for the transform is also proved in this paper. Because the DCT-based RDGT only involves real operations and can utilize fast DCT and IDCT algorithms for fast computation, it is easier in computation and implementation by hardware or software compared to the traditional DFT-based complex-valued discrete Gabor transform. The proposed transform can be used to improve the speed and efficiency in analyzing and processing nonstational or time-varying signals.
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