Research Advances in Reconstruction Methods Based on Information Degree-of-Freedom Sampling

doi:10.3969/j.issn.0372-2112.2012.08.023

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Research Advances in Reconstruction Methods Based on Information Degree-of-Freedom Sampling

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- Research Advances in Reconstruction Methods Based on Information Degree-of-Freedom Sampling
- Acta Electronica Sinica Vol. 40, Issue 8, Pages: 1640-1649(2012)
- 作者机构：
  
  西安电子科技大学电子工程学院,陕西,西安,710071
- 作者简介：
- 基金信息：
  
  National Natural Science Foundation of China (No.61033004, No.61070138, No.61072104, No.61003148);Research Fund for the Doctoral Program of Higher Education of China (No.20090203110003)
- DOI：10.3969/j.issn.0372-2112.2012.08.023
  CLC： TN911.7
- Published：2012
- 稿件说明：
移动端阅览
Research Advances in Reconstruction Methods Based on Information Degree-of-Freedom Sampling[J]. Acta Electronica Sinica, 2012, 40(8): 1640-1649.
DOI：

Research Advances in Reconstruction Methods Based on Information Degree-of-Freedom Sampling[J]. Acta Electronica Sinica, 2012, 40(8): 1640-1649. DOI： 10.3969/j.issn.0372-2112.2012.08.023.

摘要

有限的采样能力和高分辨的重构需求是现代信号处理中最基本的矛盾.不完全采样(或观测)

高分辨重构信号

是信号处理、通信、应用数学等领域的期待解决的问题之一.本文通过回顾现有的不完全采样、高分辨率重构方法的研究成果

提炼出一个基于信息自由度采样的信号优化重构方法的框架.在此框架中有三个核心方面

信息自由度决定采样率

采样方法确定约束条件

信号特征指导目标函数的建立.本文着重综述采样重构方法有效性的分析手段

评论其优缺点.最后

我们展望基于信息自由度采样的信号重构问题的研究前景

并展示我们的新探索与新成果.

Abstract

As is well known

the limited ability of data acquisition and the high-resolution reconstruction (required by many applications) is an inherent contradiction in modern signal processing.How to reconstruct the signal with high-resolution from a limited number of data is one unsettled problem in the research areas of signal processing

communications

applied mathematics etc.By reviewing the achievements of data acquisition approaches by incomplete sampling and high-resolution reconstruction

an optimization framework for signal reconstruction based on degree-of-freedom of information is abstracted.There are three key aspects in this framework

the degree of freedom of the signal information directly influences the sampling rate

the constraints are determined by the sampling method and the object function is decided by the feature of signal.This paper focuses on the effectiveness of the means used to analyze these data acquisition approaches and the discussion of their advantages and disadvantages.In the end

we propose the research prospect of data acquisition by the incomplete sampling and high-resolution reconstruction and show our new research and result.

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