计算机工程与应用 ›› 2009, Vol. 45 ›› Issue (9): 57-59.DOI: 10.3778/j.issn.1002-8331.2009.09.016

• 研究、探讨 • 上一篇    下一篇

实值离散Gabor变换窗函数的快速求解方法

徐 沁,陶 亮   

  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
  • 收稿日期:2008-02-20 修回日期:2008-04-28 出版日期:2009-03-21 发布日期:2009-03-21
  • 通讯作者: 徐 沁

Fast computational method for basic window functions of real-valued discrete Gabor transforms

XU Qin,TAO Liang   

  1. MOE Key Laboratory of Intelligence Computing and Signal Processing,Anhui University,Hefei 230039,China
  • Received:2008-02-20 Revised:2008-04-28 Online:2009-03-21 Published:2009-03-21
  • Contact: XU Qin

摘要: 为了有效地实现实值离散Gabor变换,给出了一种基于DHT的实值离散Gabor变换窗函数的快速求解方法。该方法利用Hartley函数的正交性将原求解窗函数的双正交条件式简化,将原求解方程组分解成若干独立的子方程组,从而节省了大量的计算量,加快了求解速度。文中还给出了实验做比较,验证了方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, 窗函数, 信号分析

Abstract: This paper presents a fast computational method for basic window functions of real-valued discrete Gabor transforms based on DHT in order to realize real-valued discrete Gabor transforms efficiently.It makes the original bi-orthogonal condition of computing basic window functions simpler by using the orthogonality of Hartley functions,and then separates the original equation set into several independent sub-equation sets.So this can save a considerable computation.Some experiments have been given to demonstrate the efficiency and the advantages of decreasing the computational time of the proposed method in comparison to the original method.

Key words: real-valued discrete Gabor transforms(RDGT), window functions, signal analysis