| 基于Bayes准则自适应Gabor系数缩减的信号恢复 |
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| 引用本文： | 张宗平,刘贵忠,张茁生. 基于Bayes准则自适应Gabor系数缩减的信号恢复[J]. 电子学报, 2001, 29(4): 518-521 |
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| 作者姓名： | 张宗平 刘贵忠 张茁生 |
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| 作者单位： | 西安交通大学 信息与通信工程系,西安 710049 |
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| 基金项目： | 国家自然科学基金! (No .69872 0 30 )，国家教育部优秀青年教师基金! (1 997年度 )，陕西省自然科学基金!(No.98X0 8) |
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| 摘 要： | 信号在联合时频平面内是相对稀疏的,鉴于此,本文通过假设信号Gabor展开系数先验分布和噪声Gabor展开系数的先验分布,然后应用Bayes准则从含噪信号Gabor展开系数的后验分布估计未知信号的Gabor展开系数,实现时变滤波.数值实验表明该方法是合理有效的.
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| 关 键 词： | Gabor变换 Bayes估计 信号恢复 非参数回归 |
| 文章编号： | 0372-2112 (2001) 04-0518-04 |
| 收稿时间： | 1999-11-18 |
Signal's Recovery via Adaptive Gabor Coefficients Shrinking with Bayes Rule |
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| ZHANG Zong-ping,LIU Gui-zhong,ZHANG Zhuo-sheng. Signal's Recovery via Adaptive Gabor Coefficients Shrinking with Bayes Rule[J]. Acta Electronica Sinica, 2001, 29(4): 518-521 |
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| Authors: | ZHANG Zong-ping LIU Gui-zhong ZHANG Zhuo-sheng |
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| Affiliation: | Department of Information & Communication Engineering,Xi'an Jiaotong University,Xi'an 710049,China |
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| Abstract: | Considering the sparseness of Gabor coefficients of the underlying signals in joint time-frequency plane,this paper describes an adaptive signal recovery approach,obtained by shrinking the Gabor coefficients based on Bayes rule.Via the assumption of prior distributions of Gabor coefficients for the unknown signals and noises,we present a closed form expression for the posterior estimation of Gabor coefficients of the unknown signals,implementing time-variable filtering in time-frequency domain.The validity and effectiveness of the proposed scheme are demonstrated with numerical experiments. |
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| Keywords: | Gabor transform Bayes estimation signal recovery nonparametric regression |
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