基于DST的实值离散Gabor变换  

DST-Based Real-Valued Discrete Gabor Transform

作　　者：武杰[1] 陶亮[1] 王华彬[1] 姜雪[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,安徽合肥230039

出　　处：《计算机技术与发展》2008年第5期118-122,共5页Computer Technology and Development

基　　金：国家自然科学基金资助项目(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

摘　　要：Gabor变换已被公认为是通信和信号处理中信号与图像表示的最好的方法之一,一直以来对Gabor变换的研究和应用实际上是基于Fourier变换的复值Gabor变换,因此这里对实值Gabor变换进行了研究。采用双正交分析方法,定义了一种基于离散正弦变换(DST)的实值离散Gabor变换(RDGT),该变换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(即该变换中综合窗与分析窗的双正交条件),该实验结果也验证了变换的完备性。针对实值信号,该变换由于仅涉及实值运算,并可利用快速DSTI、DST算法来加速变换,因此比传统复值离散Gabor变换在计算、实现方面更为简单。在实际应用中,将更方便于软件和硬件的实现。Gabor transform is recognized as one of the best methods for the expression of signal and image in the communication and signal processing.As all through the study and application to Gabor transform is complex-valued based on Fourier transform,now perform research to real - valued Gabor transform. A real-valued discrete Gabor transform （RDGT） based on the discrete sine transform （DST） for finite sequences is proposed in this paper, which can he applied to both the critical sampling condition and the over-sampling condition. The biorthogonal relationship between the analysis window and synthesis Window for the transform is also proved in this paper and biorthngonality of the RDGT is validated by result of experiment. Because it only involves real operations and can utilize fast DST and IDST algorithms for fast computation, it is easier in computation and implementation by hardware or software compared to the traditional complex - valued discrete Gabor transform. It is much more convenient for the realization of hardware and software in practice.

关 键 词：离散余弦变换 离散GABOR变换 Gabor变换系数 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]