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An efficient numerical derivation of group delay characteristic from prescribed characteristic function
Author(s) -
Kida Takuro,
Kurogochi Katsumi
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.4490110207
Subject(s) - hilbert transform , mathematics , transfer function , relation (database) , function (biology) , polynomial , group delay and phase delay , algorithm , numerical integration , computer science , mathematical analysis , statistics , spectral density , electrical engineering , bandwidth (computing) , database , evolutionary biology , engineering , biology , computer network
This paper proposes an efficient method of deriving the group delay characteristic only from the prescribed characteristic function of a resistively terminated LC 2‐port network with the aid of a special numerical integration technique. As a by‐product of the method, the transfer function of the network can also be derived. the idea of the method is based on the Hilbert transform relation between the attenuation and phase of the minimum‐phase polynomial. A simplified Hilbert transform relation is presented which avoids the improper integral of its original form. the analysis of the error due to the numerical integration applied in the method and the comparison with a conventional method concerning execution time and accuracy are included.