Computer Engineering and Applications ›› 2009, Vol. 45 ›› Issue (9): 57-59.DOI: 10.3778/j.issn.1002-8331.2009.09.016
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XU Qin,TAO Liang
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徐 沁,陶 亮
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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
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
XU Qin,TAO Liang. Fast computational method for basic window functions of real-valued discrete Gabor transforms[J]. Computer Engineering and Applications, 2009, 45(9): 57-59.
徐 沁,陶 亮. 实值离散Gabor变换窗函数的快速求解方法[J]. 计算机工程与应用, 2009, 45(9): 57-59.
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URL: http://cea.ceaj.org/EN/10.3778/j.issn.1002-8331.2009.09.016
http://cea.ceaj.org/EN/Y2009/V45/I9/57