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电子学报  2012 

基于离散傅里叶变换和块时间递归并行格型结构的离散Gabor分析窗求解

DOI: 10.3969/j.issn.0372-2112.2012.09.021, PP. 1839-1843

Keywords: Gabor分析窗,块循环矩阵,块时间递归并行格型结构

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Abstract:

提出了一种快速求解离散Gabor变换分析窗的方法.首先选择一个合适的基函数,同给定的综合窗函数构造一个可逆的块循环矩阵,然后根据块循环矩阵特点,利用快速离散傅里叶变换求解块循环矩阵的逆,最后采用基于块时间递归的并行格型结构来求解分析窗.本文证明了此算法获得的窗函数与给定的综合窗满足双正交关系.实验结果表明,本文算法能快速求解分析窗,相比基于最小范数求解方法,本文提出的算法明显降低了分析窗的计算复杂度.

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