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Digital filters with maximally flat amplitude and delay characteristics
Author(s) -
Rhodes J. D.,
Fahmy M. I. F.
Publication year - 1974
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.4490020103
Subject(s) - amplitude , bandwidth (computing) , transfer function , digital filter , mathematics , realization (probability) , recursive filter , control theory (sociology) , amplitude distortion , filter (signal processing) , degree (music) , low pass filter , topology (electrical circuits) , mathematical analysis , computer science , root raised cosine filter , acoustics , physics , engineering , telecommunications , optics , electrical engineering , statistics , combinatorics , nonlinear distortion , amplifier , control (management) , artificial intelligence , computer vision
An analytical solution is obtained for the transfer function of a digital filter which exhibits an optimum maximally flat amplitude characteristic and a maximally flat delay characteristic simultaneously. Explicit values for the multipliers are given for the direct realization in terms of the degree of the network and an arbitrary bandwidth scaling factor. Finally, it is concluded that this type of filter is useful in the area where the degree of a non‐recursive filter becomes excessive to fulfil an amplitude requirement (e.g. narrow bandwidth) and where recursive filters designed solely on an amplitude basis are too dispersive.