基于DCT 的实值离散Gabo r 变换分析窗的快速求解算法

石油化工高等学校学报 ›› 2008, Vol. 21 ›› Issue (4): 87-90.

基于DCT 的实值离散Gabo r 变换分析窗的快速求解算法

徐　沁, 　陶　亮

(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

收稿日期:2008-03-20 出版日期:2008-12-20 发布日期:2017-07-05
作者简介:徐沁(1983 -), 女, 安徽安庆市, 在读硕士
基金资助:
:国家自然科学基金项目(No.60572128);安徽省
人才开发资金(No 2005Z029)

Fast Algorithm for Computing Analysis Window of Real  Discrete Gabor Transforms Based on DCT 

XU Qin, TAO Liang

MOE Key Laboratory of Intelligence Computing and Signal Processing, Anhui University, Hefei Anhui 230039, P.R.China）

Received:2008-03-20 Published:2008-12-20 Online:2017-07-05

摘要/Abstract

摘要： 为了快速有效地实现实值离散Gabor 变换, 利用离散余弦函数的正交性将原求解分析窗函数的双正
交条件式简化, 把原求解方程组分解成若干独立的子方程组, 给出了一种基于DCT 的实值离散Gabo r 变换分析窗的
快速求解算法。通过算法实验比较, 验证了此算法的有效性和在计算时间方面的优越性。

关键词: 实值离散Gabor 变换 , 分析窗 , 离散余弦变换(DC T)

Abstract: A fast algorithm for computing analysis window of real discrete Gabor transforms based on DCT in order to realize real discrete Gabor transforms efficiently was introduced. The original biorthogonal condition expression of computing analysis window functions was predigested by using the orthogonality of discrete cosine functions, and then divided the original equations set into a set of independent subsystems. Thus this algorithm can save a considerable computation. Some numerical experiments were given to demonstrate the efficiency and advantages of the proposed algorithm. It decreases the computational time compared to the original algorithm. 

Key words: Real discrete Gabor transforms (RDGT) , Analysis window , DCT

徐　沁, 　陶　亮. 基于DCT 的实值离散Gabo r 变换分析窗的快速求解算法[J]. 石油化工高等学校学报, 2008, 21(4): 87-90.

XU Qin, TAO Liang. Fast Algorithm for Computing Analysis Window of Real  Discrete Gabor Transforms Based on DCT [J]. Journal of Petrochemical Universities, 2008, 21(4): 87-90.