正交压缩采样系统时域分析

陈胜垚; 席峰; 张素玲; 刘中

doi:10.12263/DZXB.20210685

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正交压缩采样系统时域分析

学术论文 | 更新时间：2025-12-08

- 正交压缩采样系统时域分析
- Time-Domain Analyses of Quadrature Compressive Sampling System
- 电子学报 2023年51卷第3期页码：573-584
- 作者机构：
  
  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
- 作者简介：
  
  [ "陈胜垚男，1985年生，安徽庐江人，博士，南京理工大学副教授、硕士生导师. 主要研究方向为雷达信号处理、阵列信号处理、压缩感知、非线性优化在信号处理中的应用等. E-mail: chenshengyao@njust.edu.cn" ]
  [ "席峰男，1980年生，江苏宜兴人，博士. 南京理工大学副教授、硕士生导师. 主要研究方向为雷达信号处理、统计和阵列信号处理、压缩感知、凸优化等. E-mail: xifeng@njust.edu.cn" ]
  [ "张素玲女，1985年生，河南博爱人，博士. 南京晓庄学院讲师. 研究方向为雷达信号处理、压缩感知. E-mail: zsljust@163.com" ]
  [ "刘中男，1963年生，安徽灵璧人，博士，南京理工大学教授、博士生导师. 主要研究方向为信号采样与处理、雷达信号处理、深度学习等. 中国电子学会会员编号：E190011293S.E-mail: eezliu@njust.edu.cn" ]
- 基金信息：
  
  国家自然科学基金(61671245)
- DOI：10.12263/DZXB.20210685
  中图分类号： TN794
- 收稿：2021-05-28，
  
  修回：2022-10-21，
  
  纸质出版：2023-03-25
- 稿件说明：
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陈胜垚,席峰,张素玲等.正交压缩采样系统时域分析[J].电子学报,2023,51(03):573-584.

CHEN Sheng-yao,XI Feng,ZHANG Su-ling,et al.Time-Domain Analyses of Quadrature Compressive Sampling System[J].ACTA ELECTRONICA SINICA,2023,51(03):573-584.
陈胜垚,席峰,张素玲等.正交压缩采样系统时域分析[J].电子学报,2023,51(03):573-584. DOI： 10.12263/DZXB.20210685.

CHEN Sheng-yao,XI Feng,ZHANG Su-ling,et al.Time-Domain Analyses of Quadrature Compressive Sampling System[J].ACTA ELECTRONICA SINICA,2023,51(03):573-584. DOI： 10.12263/DZXB.20210685.

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.

Abstract

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-wideband signals. This paper studies the QuadCS system properties from the time-domain point of view. Firstly

the sensing matrix 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 after the QuadCS system are proved to keeps intact

and the SNR loss after reconstruction is given. The work of this paper further improves the theory of QuadCS.

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references

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