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Modelling of 2-D Real Rational Reactance Functions. A Parameter-Based Approach

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Lossless (reactive) one-ports are of great importance in the field of linear network theory. This statement also applies for the two-dimensional (2-D) case, where the design of corresponding impedance or admittance functions is a much more challenging task. In this paper a model for 2-D real rational reactance functions is introduced which is a rational function in p 1 and p 2 where the coefficients are functions of parameters. The following features make it best suited for the computer based design of lossless one-ports, namely no dependencies between the real valued parameters, coverage of the whole class of 2-D real rational reactance functions, and the coefficients are polynomials in the parameters. The synthesis of 2-D lossless networks and skew symmetric matrices form the basis of our considerations.

Document Type: Original Article


Affiliations: University of Wuppertal, Department of Electrical and Information Engineering, Communication Theory, Campus Freudenberg, Rainer-Gruenter-Str. 21, D-42119 Wuppertal, Germany, Phone: +49(0)202/439 1961, FAX: +49(0)202/439 1959 E-mail:

Publication date: December 1, 2001


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