摘要
根据周期非均匀采样需要多个采样通道的特点,利用联合子空间理论将采样与重构转换为矩阵向量运算。结合最小L1范数算法,提出了一种针对稀疏信号的周期非均匀采样与重构方法,分析了最小L1范数算法在周期非均匀采样系统中的完整重构条件。最后,以多带正弦信号为例,分别从可完整重构概率和系统整体验证两个方面证明了该方法能够实现稀疏信号的采样与重构。
A method to realize the sampling and reconstruction of the sparse signals is proposed in this paper based on minimum L1 normal.According to the feature of periodic non-uniform sampling that it needs multiple channels,the sampling and reconstruction of signals are transformed into matrix and vector operations by using theory of union of subspaces.Necessary condition of reconstruction is analyzed.Finally,taking multi-band sinusoidal signals as an example,we prove that the method can achieve the sampling and reconstruction of sparse signals.
出处
《电子科技大学学报》
EI
CAS
CSCD
北大核心
2012年第3期418-423,共6页
Journal of University of Electronic Science and Technology of China
基金
国家自然科学基金(60827001)
关键词
最小L1范数
周期非均匀采样
稀疏信号
联合子空间
minimum L1 normal
periodic non-uniform sampling
sparse signals
union of subspaces
