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

Mathematics – Optimization and Control

Scientific paper

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31 pages, 2 figures. Submitted

Scientific paper

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.

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