Synthesis of two-dimensional lossless m-ports with prescribed scattering matrix

DOI10.1007/BF01598747zbMath0672.94027MaRDI QIDQ1120555

Anton Kummert

Publication date: 1989

Published in: Circuits, Systems, and Signal Processing (Search for Journal in Brave)

zbMATH Keywords

filtersmultidimensional lossless networksmultidimensional wave digital

Mathematics Subject Classification ID

Circuits, networks (94C99)

Related Items (20)

Polynomials with no zeros on a face of the bidisk ⋮ Contractive determinantal representations of stable polynomials on a matrix polyball ⋮ Minimal realizations and determinantal representations in the indefinite setting ⋮ LMI approach to state-feedback stabilization of multidimensional systems ⋮ Integrability and regularity of rational functions: ⋮ Stable symmetric polynomials and the Schur-Agler class ⋮ Multidimensional circuit synthesis and multivariable dilation theory ⋮ Fundamental Agler decompositions ⋮ Inner functions on the bidisk and associated Hilbert spaces ⋮ Transformation approach to numerically integrating PDEs by means of WDF principles ⋮ Rational Cayley inner Herglotz-Agler functions: positive-kernel decompositions and transfer-function realizations ⋮ Stable Noncommutative Polynomials and Their Determinantal Representations ⋮ Rational inner functions in the Schur-Agler class of the polydisk ⋮ Stable and real-zero polynomials in two variables ⋮ The synthesis of two-dimensional passive n-ports containing lumped elements ⋮ Spectral factorization of two-variable para-Hermitian polynomial matrices ⋮ An algebraic perspective on multivariate tight wavelet frames. II ⋮ Schur-Agler class rational inner functions on the tridisk ⋮ Scattering systems with several evolutions and formal reproducing kernel Hilbert spaces ⋮ Kummert's approach to realization on the bidisk

Cites Work

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• Matrix calculations for Liapunov quadratic forms
• Multidimensional digital filters with closed loss behavior designed by complex network theory approach
• New results on stable multidimensional polynomials-Part I: Continuous case
• New results on stable multidimensional polynomials- Part II: Discrete case
• A simple approach to spectral factorization

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