2019 journal article

An Approximate Message Passing Framework for Side Information

IEEE TRANSACTIONS ON SIGNAL PROCESSING, 67(7), 1875–1888.

co-author countries: United States of America 🇺🇸
author keywords: Approximate message passing; side information; sparse signal recovery
Source: Web Of Science
Added: March 25, 2019

Approximate message passing (AMP) methods have gained recent traction in sparse signal recovery. Additional information about the signal, or \emph{side information} (SI), is commonly available and can aid in efficient signal recovery. This work presents an AMP-based framework that exploits SI and can be readily implemented in various settings for which the SI results in separable distributions. To illustrate the simplicity and applicability of our approach, this framework is applied to a Bernoulli-Gaussian (BG) model and a time-varying birth-death-drift (BDD) signal model, motivated by applications in channel estimation. We develop a suite of algorithms, called AMP-SI, and derive denoisers for the BDD and BG models. Numerical evidence demonstrating the advantages of our approach are presented alongside empirical evidence of the accuracy of a proposed state evolution.