基于辅助双正交的实值离散多Gabor变换  

Multi-Gabor real discrete Gabor transforms based on auxiliary bi-orthogonal

作　　者：胡学友[1] 李锐[2] 陶亮[2] 

机构地区：[1]合肥学院电子信息与电气工程系,合肥230039 [2]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：《计算机应用研究》2013年第1期111-113,共3页Application Research of Computers

基　　金：国家自然科学基金资助项目(61071169);安徽省教育厅重点基金资助项目(KJ2010A011);合肥学院人才资金资助项目(12RC09)

摘　　要：为了改善传统离散Gabor变换的时频分辨率,降低离散Gabor变换计算的复杂性,提出了一种基于多高斯窗的实值离散Gabor变换分析窗的快速求解算法。对多高斯窗下离散Gabor变换双正交关系式进行了简化,给出了分析窗组的代数方程表达式。该算法相对于多高斯Gabor展开的计算复杂度明显降低,仿真实验的结果也证明了该算法的有效性。In order to improve the joint time-frequency resolution of the traditional discrete Gabor transform,and decrease computational complexity limits its practical application,this paper proposed a fast algorithm to computing the analysis window of real discrete Gabor transforms based on multi-Gaussian window,which could simplify the calculation process of the discrete Gabor transforms.It gave the discrete multi-Gabor expansion based on original bi-orthogonal function.The computational load of the proposed algorithm is far less than the discrete multi-Gabor algorithm.Experimental results also show the effectiveness of the proposed algorithm.

关 键 词：实值离散GABOR变换 离散多Gabor展开 时频分辨率 双正交 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]