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最小L1范数实现周期非均匀采样与重构研究

罗浚溢 田书林 王志刚 刘涛

电子科技大学学报2012,Vol.41Issue(3):418-423,6.
电子科技大学学报2012,Vol.41Issue(3):418-423,6.DOI:10.3969/j.issn.1001-0548.2012.03.019

最小L1范数实现周期非均匀采样与重构研究

Periodic Non-Uniform Sampling and Reconstruction Based on Minimum L1 Normal

罗浚溢 1田书林 1王志刚 1刘涛1

作者信息

  • 1. 电子科技大学自动化工程学院 成都 611731
  • 折叠

摘要

Abstract

A method to realize the sampling and reconstruction of the sparse signals is proposed in this paper based on minimum L\ 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, talcing multi-band sinusoidal signals as an example, we prove that the method can achieve the sampling and reconstruction of sparse signals.

关键词

最小L1范数/周期非均匀采样/稀疏信号/联合子空间

Key words

minimum L1 normal/ periodic non-uniform sampling/sparse signals/ union of subspaces

分类

信息技术与安全科学

引用本文复制引用

罗浚溢,田书林,王志刚,刘涛..最小L1范数实现周期非均匀采样与重构研究[J].电子科技大学学报,2012,41(3):418-423,6.

基金项目

国家自然科学基金(60827001) (60827001)

电子科技大学学报

OA北大核心CSCDCSTPCD

1001-0548

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