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Transfer functions interpolating an ideal amplitude with arbitrary phase and delay
Author(s) -
Jarry P.
Publication year - 1983
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.4490110203
Subject(s) - lossless compression , ideal (ethics) , amplitude , transfer function , reciprocal , phase (matter) , mathematics , mathematical analysis , function (biology) , phase function , group delay and phase delay , control theory (sociology) , topology (electrical circuits) , scattering , physics , computer science , algorithm , optics , telecommunications , combinatorics , engineering , electrical engineering , quantum mechanics , bandwidth (computing) , philosophy , artificial intelligence , linguistics , data compression , biology , control (management) , epistemology , evolutionary biology
A method is presented to generate polynomials with phase values and delay (first derivative) specified at given frequencies. Then a closed form solution is described for the scattering transfer function S 12 ( p ) of a resistively terminated lossless reciprocal two‐port network with ideal amplitude and arbitrary phase and delay.