Compressed sensing based enhanced adaptive stagewise orthogonal matching pursuit method

The invention discloses a compressed sensing based enhanced adaptive stagewise orthogonal matching pursuit (Enhanced Adaptive Stagewise Orthogonal Matching Pursuit EAStOMP) method. a backtracking ideais introduced on the basis of an existing stagewise orthogonal matching pursuit method; and efficient two-time support set sieving is realized by introducing a new identifier parameter on the basis of the original threshold parameter, so that a signal can be reconstructed more accurately. Compared with other existing related methods, the compressed sensing based enhanced adaptive stagewise orthogonal matching pursuit method can obtain better signal reconstruction performances no matter a measuring signal is with noise or without noise under the precondition of unknown signal sparsity. 本发明公开了种基于压缩感知的增强型自适应分段正交匹配追踪（Enhanced Adaptive Stagewise Orthogonal Matching Pursuit,EAStOMP）方法。它在已有的分段正交匹配追踪方法的基础上，引入回溯思想，在原有的阈值参数的基础上通过引入个新的标识参数，达到有效的二次支撑集筛选，从而可以更准确地重建信号。与其他现有相关方法相比，本发明能够确保在未知信号稀疏度的前提下，无论是在测量信号无噪还是有噪情况下，EAStOMP方法