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一种基于minimax准则的压缩采样信号检测方法

  • 韩阔业 ,
  • 江海 ,
  • 王彦平 ,
  • 洪文
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  • 1. 中国科学院电子学研究所, 北京 100190;
    2. 微波成像技术国家级重点实验室, 北京 100190;
    3. 中国科学院研究生院, 北京 100190

收稿日期: 2010-03-05

  网络出版日期: 2010-11-15

A signal detection method via compressive sampling using minimax criterion

  • HAN Kuo-Ye ,
  • JIANG Hai ,
  • WANG Yan-Ping ,
  • HONG Wen
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  • 1. Institute of Electronics, Chinese Academy of Sciences, Beijing 100190, China;
    2. National Key Laboratory of Microwave Imaging Technology, Beijing 100190, China;
    3. Graduate University, Chinese Academy of Sciences, Beijing 100190, China

Received date: 2010-03-05

  Online published: 2010-11-15

摘要

压缩感知理论是在已知信号具有稀疏性或可压缩性的条件下,对信号数据进行采集、编解码的新理论.压缩感知理论指出,当观测矩阵满足等容性原理时,可以通过远小于奈奎斯特采样点数的信号点数去重建原始信号.本文将压缩采样的框架应用到信号检测模型中去,提出了一种使用minimax准则对压缩采样的信号进行检测的方法,并从理论上证明了这种方法有很好的检测性能,最后采用蒙特卡罗仿真实验验证了理论分析的结果.

本文引用格式

韩阔业 , 江海 , 王彦平 , 洪文 . 一种基于minimax准则的压缩采样信号检测方法[J]. 中国科学院大学学报, 2010 , 27(6) : 794 -799 . DOI: 10.7523/j.issn.2095-6134.2010.6.010

Abstract

Compressed sensing theory is a novel data collection and coding theory under the condition that signal is sparse or compressible. It has been shown that when the measurement matrix satisfies RIP, the original signal can be reconstructed with observations which are far less than Nyquist rate samples. In this paper, we apply the compressed sampling scheme to a signal detection model and propose a detection method based on compressive sampling using minimax criterion. Theoretical analysis shows that this method can achieve good detection performance, which is also verified by Monte Carlo experiments.

参考文献


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