基于压缩感知的信号欠采样和重建研究

摘要

为了实现基于压缩感知理论的信号欠采样和重建,采用模拟信息转换器和正交匹配追踪(Orthogonal Matching Pursuit,OMP)算法对正弦脉冲信号的欠采样和信号重建进行了仿真分析。通过Matlab仿真分析验证了压缩感知理论在信号欠采样和重建过程中的可行性,通过对比在不同信噪比下的效果发现,在高信噪比时,性能较好,可以为信号采样系统和信号恢复处理系统的设计应用提供理论参考。最后,总结讨论了压缩感知在射频和无线通信领域的应用价值。%For realizing signal sub-Nyquist sampling and reconstruction based on compressed sensing, a simulation analysis of sinusoidal pulse signal sampling and reconstruction is made with the analog-to-information converter and orthogonal matching pursuit (OMP) algorithm. The Matlab simulation results show that the compressed sensing theory in signal sampling and reconstruction is feasible. The system has better performance in the high signal-to-noise ratio, which can provide the theoretical reference for the design and application of a signal sampling and recovery processing system. Finally, the application value and prospect of compressed sensing are summarized and discussed.