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Generalized Turbo Signal Recovery for Nonlinear Measurements and Orthogonal Sensing Matrices (1512.04833v4)
Published 15 Dec 2015 in cs.IT and math.IT
Abstract: In this study, we propose a generalized turbo signal recovery algorithm to estimate a signal from quantized measurements, in which the sensing matrix is a row-orthogonal matrix, such as the partial discrete Fourier transform matrix. The state evolution of the proposed algorithm is derived and is shown to be consistent with that obtained with the replica method. Numerical experiments illustrate the excellent agreement of the proposed algorithm with theoretical state evolution.
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