# Amplitude Retrieval for Channel Estimation of MIMO Systems with One-Bit ADCs

## TL;DR

This paper introduces Amplitude Retrieval, a novel algorithm for MIMO channel estimation with one-bit ADCs that jointly estimates channel and amplitudes, improving accuracy over existing compressive sensing methods.

## Contribution

The paper proposes a new joint estimation algorithm that accounts for amplitude loss in one-bit measurements, enabling more accurate channel and direction estimation in MIMO systems.

## Key findings

- AR outperforms compressive sensing-based methods in simulations.
- AR effectively handles off-grid angles for better direction finding.
- Simulation results demonstrate improved channel estimation accuracy.

## Abstract

This letter revisits the channel estimation problem for MIMO systems with one-bit analog-to-digital converters (ADCs) through a novel algorithm--Amplitude Retrieval (AR). Unlike the state-of-the-art methods such as those based on one-bit compressive sensing, AR takes a different approach. It accounts for the lost amplitudes of the one-bit quantized measurements, and performs channel estimation and amplitude completion jointly. This way, the direction information of the propagation paths can be estimated via accurate direction finding algorithms in array processing, e.g., maximum likelihood. The upsot is that AR is able to handle off-grid angles and provide more accurate channel estimates. Simulation results are included to showcase the advantages of AR.