稀疏信号的周期非均匀采样研究  

Study on Periodic Non-uniform Sampling of Sparse Signals

作　　者：罗浚溢[1] 田书林[1] 王志刚[1] 朱肇轩[1] 

机构地区：[1]电子科技大学自动化工程学院,四川成都611731

出　　处：《计量学报》2012年第1期52-56,共5页Acta Metrologica Sinica

基　　金：国家自然科学基金（60827001）

摘　　要：为了实现稀疏信号的有效采样，根据稀疏信号仅有部分频带有能量的特点，建立了周期非均匀采样与重构的模型；利用联合子空间理论将采样与重构转换为向量运算。借助多测量向量模式确定非零行向量的位置，并通过插值器实现信号完整重构，使其能够在数字系统中应用。实验与仿真结果表明该方法能够实现稀疏信号的采样与重构。According to the sparse signals feature that power is included in only several parts of frequency bands, a model of periodic non-uniform sampling and reconstruction is built in order to effectively sample sparse signals. The sampling and reconstruction of sparse signals are transformed into vector operations by using theory of union of subspaces. Locations of non-zero row vector are identified with the aid of the mode of the multiple measurement vectors, and the complete reconstruction of sparse signal is achieved in virtue of interpolations, which can insure that the signals could be applied in digital system. Finally, simulation and experimentation demonstrated that the model can effectively achieve acquisition and reconstruction of sparse signals.

关 键 词：计量学 稀疏信号 周期非均匀采样 多测量向量 联合子空间 

分 类 号：TB973[一般工业技术—计量学]