Generalized Turbo Signal Recovery for Nonlinear Measurements and Orthogonal Sensing Matrices

Understand

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.