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Turbo Compressed Sensing with Partial DFT Sensing Matrix

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arxiv 1408.3904 v2 pith:4SS5VP6E submitted 2014-08-18 cs.IT math.IT

classification cs.ITmath.IT
keywords sensingalgorithmpartialcompressedmatrixproposedturboapproximate
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In this letter, we propose a turbo compressed sensing algorithm with partial discrete Fourier transform (DFT) sensing matrices. Interestingly, the state evolution of the proposed algorithm is shown to be consistent with that derived using the replica method. Numerical results demonstrate that the proposed algorithm outperforms the well-known approximate message passing (AMP) algorithm when a partial DFT sensing matrix is involved.

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