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不规则加权小波框架共扼梯度算法

The Irregular Weighted Wavelet Frame Conjugate Gradient Algorithm
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摘要 信息传输中的数据丢失、存储数据的硬件损坏等因素常导致采样数据是非均匀的,文章根据不规则小波框架的稳定性理论和不规则加权小波框架算子提出了针对非均匀采样信号重建的不规则加权小波框架共扼梯度算法,进行了数值仿真实验,并和同类重建算法进行比较,新算法在逼近误差与重建速度等方面有较大优势. The dropping off of data during information transmission and the storage device' s damage etc. often result the sampled data to be nonuniform. The paper based on the stability theory of irregular wavelet frame and the irregular weighted wavelet frame operator proposed an irregular weighted wavelet frame conjugate gradient iterative algorithm for the reconstruction of nonuniformly sampled signal. Compared the experimental results with other similar algorithm, some advantages such as approximation error and running time of the new algorithm are remarkable.
出处 《信号处理》 CSCD 北大核心 2007年第6期914-917,共4页 Journal of Signal Processing
基金 湖南省教育厅资助科研项目(06C260).
关键词 非均匀采样 框架算法 不规则小波框架 共扼梯度算法 Non-uniform sampling Frame algorithm Irregular wavelet frame Conjugate gradient algorithm
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