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一种改进的变步长自适应匹配追踪算法
李超, 王沛, 王传正
上海师范大学 信息与机电工程学院, 上海 200234
摘要:
压缩感知是利用信号的稀疏性和可压缩性进行信号处理的新理论.针对压缩感知中信号稀疏度未知的问题,提出了一种改进的变步长自适应匹配追踪(MVssAMP)算法.该算法通过计算余量与测量矩阵的相关性,自适应地选择候选集原子,并且通过可变步长更新支撑集,实现信号的精确重建.该算法通过设置一个参数来控制步长变化.仿真结果表明:该算法在误差范围内实现了信号精确重建,并且重建性能优于其他同类算法.
关键词:  压缩感知  信号处理  匹配追踪  自适应
DOI:10.3969/J.ISSN.100-5137.2017.02.007
分类号:
基金项目:
An improved variable step size adaptive matching pursuit algorithm
Li Chao, Wang Pei, Wang Chuanzheng
College of Information, Mechanical and Electrical Engineering, Shanghai Normal University, Shanghai 200234, China
Abstract:
Compressed sensing is a new theory of using signal sparsity and compressibility for signal processing.To solve the problem that the signal sparse is unknown in compressed sensing,an modified variable step size adaptive matching pursuit(MVssAMP) algorithm is put forward in this paper.This algorithm achieves the accurate reconstruction of the signal by calculating the correlation between the residual and the measurement matrix,then adaptively selecting candidate sets of atoms,and updating the support set via variable step size.The algorithm controls the step size change by setting a parameter.The simulation results show that the algorithm can achieve the accurate reconstruction of the signal within its error range,and the reconstruction performance is superior to other similar algorithms.
Key words:  compressed sensing  signal processing  matching pursuit  self-adaption