Synthesis of two-dimensional losslessm-Ports with prescribed scattering matrix | Zendy

Anton Kummert | Zendy

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Synthesis of two-dimensional losslessm-Ports with prescribed scattering matrix

Author(s) -

Anton Kummert

Publication year - 1989

Publication title -

circuits systems and signal processing

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.39

H-Index - 53

eISSN - 1531-5878

pISSN - 0278-081X

DOI - 10.1007/bf01598747

Subject(s) - hermitian matrix , matrix (chemical analysis) , scattering , factorization , mathematics , lossless compression , block matrix , computer science , matrix decomposition , topology (electrical circuits) , algebra over a field , algorithm , pure mathematics , physics , combinatorics , optics , quantum mechanics , eigenvalues and eigenvectors , composite material , materials science , data compression

Multidimensional lossless networks are of special interest for use as reference structures for multidimensional wave digital filters [l]–[3]. The starting point of the presented synthesis procedure for two-dimensional representatives of the networks mentioned is a scattering matrix description of the desired multiport. This given matrix is assumed to have those properties which have turned out to be necessary [9], [10] for any scattering matrix of a multidimensional lossless network. The method presented for the synthesis of 2-D reactancem-ports is based mainly on known properties of block-companion matrices and the factorization of a univariable rational matrix which is discrete para-Hermitian and nonnegative definite on the unit circle.

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