Multiport network synthesis via matrix continued fraction



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An algorithmic procedure is developed for the synthesis of two-element-kind multiport networks given their driving-point impedance matrices. The synthesis procedure utilizes the matrix continued fraction of three Cauer matrix forms and congruent transformations for diagonalizing matrices. The matrix continued fraction is performed by the matrix Routh algorithm. The network realizations as presented in this thesis are canonical. Furthermore, the third Cauer matrix form realization requires one-half the number of transformers needed for the realization of the same driving-point impedance matrix synthesized in either the first or second Cauer matrix form. The matrix Routh algorithm and the algorithms for performing the congruent transformations can be easily programmed on a digital computer. Many synthesis examples of two-element-kind networks are presented in this thesis.