The Constrained Trilinear Decomposition With Application to MIMO Wireless Communication Systems

Description

In this paper, we present a new tensor decomposition that consists in decomposing a third-order tensor into a triple sum of rank-one tensor factors, where interactions involving the components of di®erent factors are allowed. The interaction pattern is controlled by three constraint matrices composed of canonical vectors. An application of this decomposition to Multiple-Input Multiple-Output (MIMO) wireless communication systems is presented. A new multiple-antenna transmission structure is proposed, where the constraint matrices of the decomposition are exploited to design canonical precoders. Blind detection is possible thanks to the partial uniqueness properties of the decomposition. For illustrating this application, we evaluate the bit-error-rate performance for some precoder configurations.

Abstract

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