Signal sampling with joint training of learnable priors for sampling operator and decoder

Abstract

A method of sampling and decoding of a signal of interest x comprising, at a training stage: acquiring a set of training signals {x}, providing a sampling operator Pand a decoder g(.), training operator Pon signals {x}to obtain a learned sampling operator P; and, at a sampling stage: applying Pin a transform domain Ψ to signal x, resulting in observation signal y; applying the decoder g(.) to y, to produce an estimate {circumflex over (x)} of signal x to decode and/or, decide about, the signal. Decoder g(.) is trained jointly with Pon signals {x}, to obtain a learned decoder g, by jointly determining, during a cost minimization step, sampling parameters Ω and decoding parameters θaccording to a cost function, and wherein the step of applying the decoder g(.) uses decoding parameters θ, such that estimate {circumflex over (x)} is produced by the learned decoder g.