Frequency and time domain comparison of selective polynomial filters with corrected phase characteristics

Two solutions to the polynomial filter's transfer function synthesis problem are considered for comparison in the frequency and time domain: the broad class of filters with a critical monotonic amplitude characteristic (CMAC) in the passband and filters which use Chebyshev (C) polynomials. To c...

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Bibliographic Details
Published in:International journal of electronics 2019-05, Vol.106 (5), p.770-784
Main Authors: Stošović, Miona Andrejević, Topisirović, Dragan, Litovski, Vančo
Format: Article
Language:English
Subjects:
Amplitudes
Chebyshev approximation
Group delay
Linear phase
Mathematical analysis
Polynomials
Selectivity
Synthesis
Time domain analysis
Transfer functions
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Summary:Two solutions to the polynomial filter's transfer function synthesis problem are considered for comparison in the frequency and time domain: the broad class of filters with a critical monotonic amplitude characteristic (CMAC) in the passband and filters which use Chebyshev (C) polynomials. To complete the synthesis procedure for linear phase applications, group delay correctors are considered, for which a convenient approximation procedure is proposed here. Comparisons of the original functions and the corrected ones are performed in the frequency and time domain. It is shown that when CMAC and C are compared as such, the latter is by no means preferable from the selectivity point of view, while the opposite stands when the comparison is based on passband amplitude distortions. When phase-corrected filtering functions are compared, based on circuit complexity and time domain performance, the CMAC are shown to be preferable.
ISSN:0020-7217
1362-3060
DOI:10.1080/00207217.2019.1570560