Analysis and synthesis of resistive n-port networks
Autor: | Christos C. Halkias, John Bertrand |
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Rok vydání: | 1973 |
Předmět: |
State-transition matrix
Computer Networks and Communications Applied Mathematics MathematicsofComputing_NUMERICALANALYSIS Augmented matrix Algebra Matrix (mathematics) Control and Systems Engineering Matrix splitting Signal Processing Applied mathematics Coefficient matrix Pascal matrix Realization (systems) Mathematics Sparse matrix |
Zdroj: | Journal of the Franklin Institute. 295:451-467 |
ISSN: | 0016-0032 |
DOI: | 10.1016/0016-0032(73)90192-0 |
Popis: | Various aspects of analysis and synthesis of resistive n-port networks are considered in this paper. Two different characterizations of the network are examined, the Y matrix characterization and the K matrix characterization. Based on these characterizations, a set of equations is derived which relate the edge admittances with the elements of these matrices. When the K matrix is given, these equations are linear and can be solved analytically. When the Y matrix is given, the equations are bilinear and cannot be solved analytically. In this case, the problem is formulated as an optimization problem and techniques of nonlinear programming are used to obtain a realization. Synthesis from the Y matrix is finally extended to include sensitivity considerations. |
Databáze: | OpenAIRE |
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