On Improved Representation Theorems For Multidimensional Lossless Bounded Matrices
Alfred Fettweis, Sankar Basu · International Journal of Circuit Theory and Applications · 1991
Abstract An improved form of representation of multidimensional (k‐D) discrete lossless two‐ports in a form similar to the well‐known Belevitch canonical form of classical one‐dimensional network theory is presented. Representations of the transfer function matrix, chain matrix and hybrid matrix associated with discrete lossless multidimensional twoports are derived on the basis of our earlier result. An improved form of representation of multidimensional (k‐D) discrete lossless two‐ports in a form similar to the well‐known Belevitch canonical polynomial associated with the system. This fact is true for both discrete and continuous systems and apparently has remained unnoticed even in ID.