Coupled tensor decompositions for applications in array signal processing

For the case of a single colocated receive antenna array and additional linear diversity (e.g. oversampling or polarization), tensor decomposition based signal separation is now well-established. For increasing the spatial diversity of communication systems, the use of several widely separated colocated antenna arrays has been suggested. However, for such problems no algebraic framework has been proposed. We explain that recently developed coupled tensor decompositions provide such a framework. In particular, we explain that the use of several widely separated colocated antenna arrays may lead to improved identifiability results.