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Article Dans Une Revue IEEE Signal Processing Letters Année : 2015

Compressed Sensing Performance of Random Bernoulli Matrices with High Compression Ratio

Résumé

This paper studies the sensing performance of random Bernoulli matrices with column size n much larger than row size m. It is observed that as the compression ratio n/m increases, this kind of matrices tends to present a performance floor regarding the guaranteed signal sparsity. The performance floor is effectively estimated with the formula 1 2 (πm/2 + 1). To the best of our knowledge, it is the first time in compressed sensing, a theoretical estimation is successfully proposed to reflect the real performance.
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Dates et versions

hal-01116031 , version 1 (12-02-2015)

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Weizhi Lu, Weiyu Li, Kidiyo Kpalma, Joseph Ronsin. Compressed Sensing Performance of Random Bernoulli Matrices with High Compression Ratio. IEEE Signal Processing Letters, 2015, 22 (8), pp.1074 - 1078. ⟨10.1109/LSP.2014.2385813⟩. ⟨hal-01116031⟩
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