计算机技术与发展Issue(2)：101-103,3.DOI:10.3969/j.issn.1673-629X.2014.02.024
基于截尾估计的概率估计方法
Probability Estimation Method Based on Truncated Estimation
摘要
Abstract
It's an important research content in compressive sensing theory whether reconstruct the sparse signals with a high probability. The sparsity of the signals and the relevant characteristics of the atoms in the redundant dictionary are the key factors of the study. In this paper,taking use of the concept of cumulative coherence,propose a probability estimation method to estimate the probability of the cumu-lative coherence which satisfies the constraint boundary that based on the truncated estimation. It can be found whether the selected meas-urement matrix can correctly reconstruct the original signal with this method. The Matlab simulation verifies that the original signal can be reconstructed using OMP algorithm with a high probability by taking the Gaussian random matrix as the measurement matrix,at the same time,it verifies that the proposed method is reasonable.关键词
压缩感知/稀疏信号/测量矩阵/累积增量/截尾概率/概率估计Key words
compressive sensing/sparse signals/measurement matrix/cumulative coherence/truncated estimation/probability estimation分类
信息技术与安全科学引用本文复制引用
李熔..基于截尾估计的概率估计方法[J].计算机技术与发展,2014,(2):101-103,3.基金项目
国家自然科学基金资助项目(60972041,60972045) （60972041,60972045）
