Stable Signal Recovery with Dual Frames via l<sub>p</sub>-Minimization for 0&lt;p≤1

WU Fengong; ZHANG Ranran; QIN Yaohai; ZHONG Penghong

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Stable Signal Recovery with Dual Frames via l_p-Minimization for 0<p≤1

更新时间：2023-12-11

- Stable Signal Recovery with Dual Frames via l_p-Minimization for 0<p≤1
- Acta Scientiarum Naturalium Universitatis SunYatseni Vol. 54, Issue 6, Pages: 46-49(2015)
- 作者机构：
  
  广东第二师范学院数学系,广东,广州,510303
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2015，
  
  Published Online：25 November 2015，
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WU Fengong, ZHANG Ranran, QIN Yaohai, et al. Stable Signal Recovery with Dual Frames via l_p-Minimization for 0<p≤1. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 54(6):46-49(2015)
DOI：

WU Fengong, ZHANG Ranran, QIN Yaohai, et al. Stable Signal Recovery with Dual Frames via l_p-Minimization for 0<p≤1. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 54(6):46-49(2015) DOI：

摘要

压缩感知理论指出，只要信号是可压缩的或稀疏的，就能以较低的频率采样信号，并能高概率的重构该信号。在实际的应用中

许多信号只能在某些框架下具有稀疏表示，而无法在正交基下获得稀疏表示。针对这一类信号的恢复，一般采取的是l

-analysis 方法。近期有些相关研究考虑了一般对偶框架下基于l

-analysis 方法的信号恢复问题，在比前期l

-analysis 方法更弱的条件下得到了更好的恢复结果。受此启发，我们考虑了一般对偶框架下，基于l

p≤1)最小化的信号恢复。对现有的工作做了理论推广。

Abstract

The theory of compressed sensing points out that

sparse (or compressible) signals can be reconstructed with high probability by lower sampling frequency. In more and more practical applications

many signals are sparse or approximately sparse in terms of some frames rather than orthonormal bases. In such settings

one approach to recover the signals is known as l

-analysis . Some recent study using alternative dual frames as analysis operators

and provide a weaker condition than existing results in the literature. Inspired by this

the recovery of such kind of signals with general dual frame via l

-Minimization (0

p≤1) is studied. The existing work in theory is extended.

关键词

压缩感知信号恢复框架对偶框架l1-analysis

Keywords

compressed sensingsignal recoveryframedual framel1-analysis

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College of Electronic and Information Engineering,Foshan University

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Department of Computer, Foshan University, Foshan

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Stable Signal Recovery with Dual Frames via lp-Minimization for 0<p≤1

DOI：

摘要

Abstract

关键词

Keywords

references

Stable Signal Recovery with Dual Frames via l_p-Minimization for 0<p≤1