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Determination of volterra transfer functions of non‐linear multiport networks
Author(s) -
Larsen Torben
Publication year - 1993
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.4490210202
Subject(s) - transfer function , computer science , extension (predicate logic) , volterra series , linear programming , transfer (computing) , algebraic number , frequency domain , algorithm , mathematics , algebra over a field , mathematical optimization , nonlinear system , mathematical analysis , engineering , pure mathematics , programming language , parallel computing , physics , quantum mechanics , electrical engineering , computer vision
A method is presented to determine frequency domain Volterra transfer functions of non‐linear multiport networks containing non‐linear multiport subsystems (elements). the method is based on an extension of the probing method to allow arbitrary (also commensurate) frequencies. A recursively based algorithm for the determination of Volterra transfer functions of non‐linear multiport networks is derived. A computer implementation of the method in a symbolic programming language is presented. This makes it possible to determine algebraic expressions of the Volterra transfer functions. Three examples are considered.