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基于Bayes准则自适应Gabor系数缩减的信号恢复
Signal’s Recovery via Adaptive Gabor Coefficients Shrinking with Bayes Rule
【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Ga bor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
【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.
【Key words】 Gabor transform; Bayes estimation; signal recovery; nonparametric regression;
- 【文献出处】 电子学报 ,Acta Electronica Sinica , 编辑部邮箱 ,2001年04期
- 【分类号】TN911.7
- 【被引频次】2
- 【下载频次】74