The TRINICON framework for adaptive MIMO signal processing with focus on the generic Sylvester constraint

This paper gives an overview on TRINICON, a generic framework for broadband adaptive MIMO filtering, and some of its applications in array processing for speech capture. The motivations for this framework are to bring together the various blind and supervised MIMO adaptation techniques which have been treated largely independently in the literature so far, in order to spotlight their commonalities and relationships, to derive them in a rigorous way from first principles, to facilitate the design of improved systems, and to exploit synergies. In this paper, a special focus is on new results on the so-called Sylvester constraint, an important element of the framework.