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Approximate message passing (AMP) is a low-cost iterative signal recovery algorithm for linear system models. When the system transform matrix has independent identically distributed (IID) Gaussian entries, the performance of AMP can be asymptotically characterized by a simple scalar recursion called state evolution (SE). However, SE may become unreliable for other matrix ensembles, especially for...
Approximate message passing (AMP) is a low-cost iterative signal recovery algorithm for compressed sensing. For sensing matrices with independent identically distributed (IID) Gaussian entries, the performance of AMP can be asymptotically characterized by a simple scaler recursion called state evolution (SE). SE analysis shows that AMP can potentially approach the optimal minimum mean squared-error...
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...
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