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一种新的压缩采样匹配追踪算法
引用本文:蒋留兵,黄 韬.一种新的压缩采样匹配追踪算法[J].计算机应用研究,2013,30(2):402-404.
作者姓名:蒋留兵  黄 韬
作者单位:1. 桂林电子科技大学信息与通信学院,广西桂林,541004
2. 梧州学院电子信息工程系,广西梧州,543002
基金项目:国家自然科学基金资助项目(61162007); 广西研究生教育创新计划资助项目(2011105950810M11)
摘    要:提出了实用性更强的完全受噪声扰动理论模型,引入了与原信号相关的乘性噪声;并基于新的模型,提出了一种改进的压缩采样匹配追踪算法.该算法通过构造一个感知测量矩阵,在信号替代阶段中取代随机测量矩阵来减少相关性对支撑集筛选的影响,最后可在乘性噪声存在的情况下实现了信号的精确重建.实验结果表明,在相同测试条件下,该算法的重建效果均优于其他贪婪算法和基匹配法(basic pursuit,BP).

关 键 词:压缩感知  重构算法  压缩采样匹配追踪  噪声扰动

New compressive sampling matching pursuit algorithm
JIANG Liu-bing,HUANG Tao.New compressive sampling matching pursuit algorithm[J].Application Research of Computers,2013,30(2):402-404.
Authors:JIANG Liu-bing  HUANG Tao
Affiliation:1. School of Information & Communication Engineering, Guilin University of Electronic Technology, Guilin Guangxi 541004, China; 2. Dept. of Electronic & Information Engineering, Wuzhou University, Wuzhou Guangxi 543002, China
Abstract:This paper proposed a new more useful completely perturbed model, which incorporated multiplicative noise correlated with the signal. It presented a new compressive sampling matching pursuit algorithm based on the new model. The proposed algorithm could recover the signal in high probability by constructing sensing measurement matrix which mitigated the coherent interference to get the best support of the signal even in the present of multiplicative noise. The experimental results show that under the same condition, the proposed algorithm can get better reconstruction performances and it is superior to other greedy algorithms and the BP algorithm.
Keywords:
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