基于DCT的实值离散Gabor变换
doi: 10.3724/SP.J.1146.2006.00348
Real-valued Discrete Gabor Transform Based on DCT
-
摘要: 该文提出了一种基于离散余弦变换(DCT)的实值离散Gabor变换(RDGT)，不仅适用于临界抽样条件而且适用于过抽样条件，并证明了变换的完备性条件。由于这种变换仅涉及实值计算，并且可利用快速DCT，IDCT算法来加速运算，因此比传统复值离散Gabor变换在计算和实现方面更为简单，必将有效地提高非平稳信号与图像的分析、处理速度和效率。Abstract: 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.
-
Gabor D. Theory of communication. J. Inst. Electr. Eng., 1946, 93: 429-457.[2]Stewart D F, Potter L C, and Ahalt S C. Computationally attractive real gabor transforms[J].IEEE Trans. on Signal Processing.1995, 43(1):77-84[3]Ahmed N T, Natarajan, and Rao K R. Discrete cosine transform[J].IEEE Trans. on Comput.1974, 23(1):90-93[4]Tao L and Kwan H K. Real discrete gabor expansion for finite and infinite sequences. Proceedings of the 2000 IEEE International Symposium on Circuits and Systems, Geneva, Switzerland, 2000, vol. 4: 637-640.[5]Wexler J and Raz S. Discrete Gabor expansions[J].Signal Processing.1990, 21(3):207-220[6]陶亮, 张德龙, Kwan H K. 实值离散Gabor变换的最优双正交分析窗函数. 电路与系统学报, 2000, 5(4): 48-52.[7]王中德. 快速变换的历史与现状. 电子学报, 1989, 17(5): 103-111.[8]蒋增荣等. 快速算法. 国防科技大学出版社, 1998: 415-434. -
计量
- 文章访问数: 3230
- HTML全文浏览量: 82
- PDF下载量: 927
- 被引次数: 0
下载:
