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Several important design problems in signal processing for communications can be cast as optimization problems in which the objective is a function of the subspaces spanned by tall complex matrix variables with orthonormal columns. Such problems can be viewed as optimization problems on the complex Grassmann manifold, and an effective means for performing this optimization is to use a Grassmannian...
In this paper, we address the problem of minimizing the cost of the power required to achieve reliable communication at a specified rate on a link that is assisted by an orthogonal half-duplex relay. The considered scenario is that of a narrowband channel with a long coherence time, single-antenna nodes, and the availability of perfect channel state information. We consider the regenerative decode-and-forward...
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