This work was supported by the Engineering and Physical Sciences Research Council (EPSRC) Grant number EP/K014307/1 and the MOD University Defence Research Collaboration in Signal Processing.

The authors would like to thank Mark Willerton of Mathworks, Cambridge UK, for his support, and all present and past collaborators on polynomial matrix decompositions and their applications: Prof Soydan Redif (European University of Lefke, Cyprus, Turkey), Mohamed Alrmah (University of Strathclyde, Glasgow, Scotland), Prof Chi Hieu Ta (Le Qui Don Technical University, Hanoi, Vietnam), Prof Waleed Alhanafy (Menoufia University, Menoufia, Egypt).