Time-reversal and the adjoint method with an application in telecommunication

TL;DR

This paper links time-reversal techniques with the adjoint method to develop experimental iterative solutions for inverse problems in telecommunication, demonstrated through underwater acoustics and MIMO wireless communication.

Contribution

It introduces a novel connection between time-reversal and the adjoint method, enabling experimental approaches to inverse problems in telecommunication.

Findings

Successful application to underwater acoustic communication

Effective iterative time-reversal strategies for MIMO systems

Potential for experimental inverse problem solving

Abstract

We establish a direct link between the time-reversal technique and the so-called adjoint method for imaging. Using this relationship, we derive new solution strategies for an inverse problem which arises in telecommunication. These strategies are all based on iterative time-reversal experiments, which try to solve the inverse problem experimentally instead of computationally. We will focus in particular on examples from underwater acoustic communication and wireless communication in a Multiple-Input Multiple-Output (MIMO) setup.