Close-to-Optimal Partial Decode-and-Forward Rate in the MIMO Relay Channel via Convex Programming

Konferenz: WSA 2016 - 20th International ITG Workshop on Smart Antennas
09.03.2016 - 11.03.2016 in München, Deutschland

Tagungsband: ITG-Fb. 261: WSA 2016

Seiten: 8Sprache: EnglischTyp: PDF

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Wiegart, Thomas; Hellings, Christoph; Utschick, Wolfgang (Fachgebiet Methoden der Signalverarbeitung, Technische Universität München, 80290 Munich, Germany)

We study the optimization of the data rate achievable with partial decode-and-forward in the Gaussian MIMO relay channel and propose a new algorithm to find close-to-optimal input covariance matrices. Although the optimization is a non-convex problem in its original formulation, we can show that a reformulated version with slightly modified constraint set is convex. In particular, we replace a positive-semidefiniteness constraint by a strict positive-definiteness constraint. This may introduce an inaccuracy, but we conjecture this inaccuracy to be small so that the obtained solutions are close to the globally optimal ones.