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Synthesis of some non‐reciprocal filters employing the Jacobi polynomials
Author(s) -
Jarry P.
Publication year - 1980
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.4490080305
Subject(s) - reciprocal , transfer function , mathematics , reflection (computer programming) , linear phase , phase (matter) , jacobi polynomials , interpretation (philosophy) , element (criminal law) , filter (signal processing) , pure mathematics , orthogonal polynomials , computer science , physics , philosophy , linguistics , quantum mechanics , law , political science , electrical engineering , computer vision , programming language , engineering
In this paper, we establish that some of the generalized linear phase polynomials defined in Reference 1 are Hurwitz. The demonstration consists in showing that the ratio of two linear phase polynomials is a positive real function. The corresponding network interpretation with closed‐form element values is then given, which yields at the same time the reflection‐filter synthesis of the non‐minimum phase, non‐reciprocal transfer functions introduced in Reference 1.