Turbo compressed sensing with partial DFT sensing matrix

J Ma, X Yuan, L Ping - IEEE Signal Processing Letters, 2014 - ieeexplore.ieee.org
IEEE Signal Processing Letters, 2014ieeexplore.ieee.org
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.
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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