多频带信号压缩采样的回溯SOMP重构方法

摘要

As to the compressive sampling for multiband signals in MWC （Modulated Wideband Converter）, a SOMP （Simultaneous Orthogonal Matching Pursuit） recovery algorittun is proposed based on backtracking. Signals are reconstructed with this algorithm employing backtracking and least square criterion strategy. Compared with traditional methods, the proposed method doesn＇ t require the carrier frequencies as a prior. Moreover, this method has low computational complexity and high success rate. Simulation results demonstrate its good performance, which makes it a promising candidate for compressive sampling of muhiband signals.%针对多频带信号在调制宽带转换器（Modulated Wideband Converter,MWC）系统下的压缩采样,提出了一种基于回溯思想的多频带信号SOMP（Simultaneous Orthogonal Matching Pursuit）重构算法,该方法利用回溯思想和最小均方准则进行信号支撑频带搜索,从而重构源信号。相比传统方法,该算法不需要已知信号载频信息,且算法复杂度低,正确重构概率高。通过对实际中不同多频带信号MWC采样系统下的仿真实验表明,该方法具有良好的适用性。