基于DCT的实值离散Gabor变换  

Real-valued Discrete Gabor Transform Based on DCT

作　　者：魏道昀[1] 祝美龙[1] 陶亮[1] 

机构地区：[1]安徽大学计算智能与信号处理教育部重点实验室,合肥230039

出　　处：《电子与信息学报》2007年第11期2783-2786,共4页Journal of Electronics & Information Technology

基　　金：国家自然科学基金(60572128);安徽省人才开发资金(2005Z029);安徽大学人才队伍建设项目和创新团队基金资助课题

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。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.

关 键 词：离散余弦变换(DCT) 离散GABOR变换 Gabor变换系数 

分 类 号：TN911.72[电子电信—通信与信息系统]