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admittance matrix all-pass factor analytic Blaschke product CANONICAL REALIZATION chapter compatibility conditions congruence transformation coupling structure defined diagonal diagonal matrix driving-point immittances epr matrix Equation existence theorem expressed Gauss factorization given Hence Hermitian Hermitian matrix Hurwitz polynomial immittance matrices impedance matrices inverse jco axis jw axis lossless coupling network lossless network lossless reciprocal imbedding lossless reciprocal network minimum reactive multiport structures n x n matrix n-port necessary and sufficient non-Foster pr nonreciprocal nonsingular normal rank notion of compatibility o o e e obtained para-Hermitian para-unitary matrix parameters pole at infinity port positive real positive semidefinite pr impedance psd residue matrices rational functions RATIONAL MATRICES reactance real rational right half s-plane right half-plane poles right half-plane zeros Sandberg's results satisfied scattering matrix Schoeffler simple poles spectral factorization standard form strictly Hurwitz sufficient conditions synthesis terminated transformation tunnel diode two-port z-parameters