| 离散Gabor展开双正交条件的Zak变换域表示 |
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| 引用本文： | 刘永红,王宏禹.离散Gabor展开双正交条件的Zak变换域表示[J].大连理工大学学报,1996,36(1):83-88. |
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| 作者姓名： | 刘永红 王宏禹 |
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| 作者单位： | 大连理工大学电子工程系 |
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| 摘 要： | Ｇａｂｏｒ展开中，选择满足双正交条件的辅助函数是一个很重要的问题，给出了过采样率为有理数时离散Ｇａｂｏｒ展开双正交条件的Ｚａｋ变换域表示，从而可在Ｚａｋ变换域对辅助函烽施加约束或进行解算，所得结果是Ｊ．Ｍ．Ｍｏｒｒｉｓ等人要求过采样率为整数所得结果的广义化，实验结果表明在Ｚａｋ域解算双正交条件可节省计算时间与内存。
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| 关 键 词： | 信号分析 离散Gabor展开 双正交条件 |
Biorthogonal condition of discrete Gabor expansion in Zak domain |
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| Liu Yonghong, Wang Hongyu.Biorthogonal condition of discrete Gabor expansion in Zak domain[J].Journal of Dalian University of Technology,1996,36(1):83-88. |
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| Authors: | Liu Yonghong Wang Hongyu |
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| Abstract: | Selecting the auxiliary function which. is subject to the biorthogonal condition is an important problem in the Gabor expansion. This paper presents a biorthogonal condition of discrete Gabor expansion when the oversampling rate is a rational number. Thus the auxiliary function can be subjected to other constraints and be solved in Zak domain. The results obtained by this paper generalize the J. M. Morris' method which requires the oversampling rate is an integer. The numerical examples show that solving biorthogonal condition in Zak domain can save computing time and memory. |
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| Keywords: | signal analysis time domain analysis frequency domain analysis/discrete Gabor expansion discrete Zak transform fast algorithm |
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