Statistical Mechanical Analysis of Compressed Sensing Utilizing Correlated Compression Matrix

Details Statistical Mechanical Analysis of Compressed Sensing Utilizing Correlated Compression Matrix Statistical Mechanical Analysis of Compressed Sensing Utilizing Correlated Compression Matrix

2010-01-25

arxiv.org/abs/1001.4361v2

ISIT 2010 proceedings pp.1538-1542

Computer Science

Information Theory

5 pages, 3 figures

Scientific paper

We investigate a reconstruction limit of compressed sensing for a reconstruction scheme based on the L1-norm minimization utilizing a correlated compression matrix with a statistical mechanics method. We focus on the compression matrix modeled as the Kronecker-type random matrix studied in research on multi-input multi-output wireless communication systems. We found that strong one-dimensional correlations between expansion bases of original information slightly degrade reconstruction performance.

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