Canonical Decomposition of Multiports Revisited: Properties and Relations to Fundamental Principles of Physics

Properties of decompositions of multiport models are discussed. In particular, it is shown that the congruent canonical decomposition of multiport storage elements or multiport resistors that is based on Choleski factorization of their Jacobians can be causally inverted without generating algebraic loops and that an arbitrary number of ports of such a multiport may be dualized without generating essential gyrators in its decomposition. As a result, it is argued that the congruent canonical decomposition is a preferred decomposition, in particular from a computational point of view.