摘要
正交压缩采样(Quadrature Compressive Sampling,QuadCS),可直接低速获取射频信号的同相和正交支路信号,是一种有效的宽带/超宽带信号采样模信转换系统.本文在分析QuadCS感知矩阵时域特性的基础上,有效地将感知矩阵分解成QuadCS不同组成单元描述矩阵乘积的形式,并籍此采用单位范数紧框架理论建立了QuadCS的可重构性.除外,本文还分析了QuadCS输出信噪比和重构信噪比,证明了QuadCS保持输入信噪比的不变性,推导出了重构信噪比损失关系式.本文的工作进一步完善了正交压缩采样理论.
Quadrature compressive sampling(QuadCS)can directly obtain the in-phase and quadrature components of radio signals at sub-Nyquist rates and is one of efficient analog-to-information systems sampling wideband/ultra-wide⁃band signals.This paper studies the QuadCS system properties from the time-domain point of view.Firstly,the sensing ma⁃trix describing QuadCS system is derived in time-domain,and it is further decomposed into three components.Then with the decomposition structure,the QuadCS reconstructability is simply built in virtue of the theory of unit-norm tight frame.Finally,the signal power and the noise variance in the QuadCS output are analyzed,the signal-to-noise ratios before and af⁃ter the QuadCS system are proved to keeps intact,and the SNR loss after reconstruction is given.The work of this paper fur⁃ther improves the theory of QuadCS.
作者
陈胜垚
席峰
张素玲
刘中
CHEN Sheng-yao;XI Feng;ZHANG Su-ling;LIU Zhong(School of Electronic and Optical Engineering,Nanjing University of Science and Technology,Nanjing,Jiangsu 210094,China;School of Electronic Engineering,Nanjing Xiaozhuang University,Nanjing,Jiangsu 211171,China)
出处
《电子学报》
EI
CAS
CSCD
北大核心
2023年第3期573-584,共12页
Acta Electronica Sinica
基金
国家自然科学基金(No.61671245)。
关键词
压缩感知
模信转换
正交采样
正交压缩采样
约束等距特性
compressive sensing
analog-to-information conversion
quadrature sampling
quadrature compressive sampling
restricted isometry property
