| 基于辅助双正交的实值离散多Gabor变换 |
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| 引用本文： | 胡学友,李 锐,陶 亮.基于辅助双正交的实值离散多Gabor变换[J].计算机应用研究,2013,30(1):111-113. |
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| 作者姓名： | 胡学友 李 锐 陶 亮 |
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| 作者单位： | 1. 合肥学院 电子信息与电气工程系, 合肥 230039; 2. 安徽大学 计算智能与信号处理教育部重点实验室, 合肥 230039 |
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| 基金项目： | 国家自然科学基金资助项目（61071169）; 安徽省教育厅重点基金资助项目（KJ2010A011）; 合肥学院人才资金资助项目（12RC09） |
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| 摘 要： | 为了改善传统离散Gabor变换的时频分辨率,降低离散Gabor变换计算的复杂性,提出了一种基于多高斯窗的实值离散Gabor变换分析窗的快速求解算法。对多高斯窗下离散Gabor变换双正交关系式进行了简化,给出了分析窗组的代数方程表达式。该算法相对于多高斯Gabor展开的计算复杂度明显降低,仿真实验的结果也证明了该算法的有效性。
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| 关 键 词： | 实值离散Gabor变换 离散多Gabor展开 时频分辨率 双正交 |
Multi-Gabor real discrete Gabor transforms based onauxiliary bi-orthogonal |
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| HU Xue-you,LI Rui,TAO Liang.Multi-Gabor real discrete Gabor transforms based onauxiliary bi-orthogonal[J].Application Research of Computers,2013,30(1):111-113. |
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| Authors: | HU Xue-you LI Rui TAO Liang |
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| Affiliation: | 1. Dept. of Electronics & Electrical Engineering, Hefei University, Hefei 230039, China; 2. Key Laboratory of Intelligence Computing & Signal Processing for Ministry of Education, Anhui University, Hefei 230039, China |
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| Abstract: | In order to improve the joint time-frequency resolution of the traditional discrete Gabor transform, and decrease computational complexity limits its practical application, this paper proposed a fast algorithm to computing the analysis window of real discrete Gabor transforms based on multi-Gaussian window, which could simplify the calculation process of the discrete Gabor transforms. It gave the discrete multi-Gabor expansion based on original bi-orthogonal function. The computational load of the proposed algorithm is far less than the discrete multi-Gabor algorithm. Experimental results also show the effectiveness of the proposed algorithm. |
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