正交压缩采样系统时域分析  

Time-Domain Analyses of Quadrature Compressive Sampling System

作　　者：陈胜垚[1] 席峰 张素玲 刘中[1] 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)

机构地区：[1]南京理工大学电子工程与光电技术学院,江苏南京210094 [2]南京晓庄学院电子工程学院,江苏南京211171

出　　处：《电子学报》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)。

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.

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 

分 类 号：TN794[电子电信—电路与系统]