Statistical Mechanical Analysis of Compressed Sensing Utilizing Correlated Compression Matrix

Koujin Takeda; Yoshiyuki Kabashima

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arXiv · 1001.4361

Statistical Mechanical Analysis of Compressed Sensing Utilizing Correlated Compression Matrix

Koujin Takeda·Yoshiyuki Kabashima

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Abstract

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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Koujin Takeda, Yoshiyuki Kabashima. 2010-01-25. Statistical Mechanical Analysis of Compressed Sensing Utilizing Correlated Compression Matrix. https://arxiv.org/abs/1001.4361

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