基于斜投影算子的压缩域滤波法

通过对压缩感知和压缩域信号处理技术的研究,提出了一种基于斜投影算子的压缩域滤波法,在不精确已知目标信号稀疏位置的情况下,利用测量矩阵信息,构造斜投影滤波算子来完成干扰信号的滤除功能,从而达到直接利用压缩测量值不经信号重构而进行滤波的目的.理论分析了该方法的有效性.实验仿真结果表明,该方法能在压缩域有效地滤除非目标信号,并且相比于正交投影算子滤波法具有更好的性能.

A Compressive-Domain Filtering Method Based on Oblique Projector

A compressive-domain filtering method based on oblique projector is proposed.The oblique projector used for filtering is constructed without exactly knowing the sparse positions of the target signals.It can eliminate the unwanted signal’s contribution to the measurements in compressive domain without first resorting to a full-scale reconstruction;meanwhile,it can preserve the information of target signal for reconstruction.Simulations show that this method can filter the unwanted signal effectively in compressive domain.Furthermore,and it is better than that of the filtering method based on orthogonal projector.