Discrete-Time Filter Synthesis using Product of Gegenbauer Polynomials

A new approximation to design continuoustime and discrete-time low-pass filters, presented in this paper, based on the product of Gegenbauer polynomials, provides the ability of more flexible adjustment of passband and stopband responses. The design is achieved taking into account a prescribed speci...

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Main Authors: N. Stojanovic, N. Stamenkovic, I. Krstic
Format: Article
Language:English
Published: Spolecnost pro radioelektronicke inzenyrstvi 2016-09-01
Series:Radioengineering
Subjects:
Online Access:http://www.radioeng.cz/fulltexts/2016/16_03_0500_0505.pdf
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author N. Stojanovic
N. Stamenkovic
I. Krstic
author_facet N. Stojanovic
N. Stamenkovic
I. Krstic
author_sort N. Stojanovic
collection DOAJ
description A new approximation to design continuoustime and discrete-time low-pass filters, presented in this paper, based on the product of Gegenbauer polynomials, provides the ability of more flexible adjustment of passband and stopband responses. The design is achieved taking into account a prescribed specification, leading to a better trade-off among the magnitude and group delay responses. Many well-known continuous-time and discrete-time transitional filter based on the classical polynomial approximations(Chebyshev, Legendre, Butterworth) are shown to be a special cases of proposed approximation method.
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spelling doaj.art-fce31e5281854ea188a048d61f91e6f32022-12-21T19:14:25ZengSpolecnost pro radioelektronicke inzenyrstviRadioengineering1210-25122016-09-01253500505Discrete-Time Filter Synthesis using Product of Gegenbauer PolynomialsN. StojanovicN. StamenkovicI. KrsticA new approximation to design continuoustime and discrete-time low-pass filters, presented in this paper, based on the product of Gegenbauer polynomials, provides the ability of more flexible adjustment of passband and stopband responses. The design is achieved taking into account a prescribed specification, leading to a better trade-off among the magnitude and group delay responses. Many well-known continuous-time and discrete-time transitional filter based on the classical polynomial approximations(Chebyshev, Legendre, Butterworth) are shown to be a special cases of proposed approximation method.http://www.radioeng.cz/fulltexts/2016/16_03_0500_0505.pdfGegenbauer polynomialslowpass filterscontinuous-time filtersdiscrete-time filters
spellingShingle N. Stojanovic
N. Stamenkovic
I. Krstic
Discrete-Time Filter Synthesis using Product of Gegenbauer Polynomials
Radioengineering
Gegenbauer polynomials
lowpass filters
continuous-time filters
discrete-time filters
title Discrete-Time Filter Synthesis using Product of Gegenbauer Polynomials
title_full Discrete-Time Filter Synthesis using Product of Gegenbauer Polynomials
title_fullStr Discrete-Time Filter Synthesis using Product of Gegenbauer Polynomials
title_full_unstemmed Discrete-Time Filter Synthesis using Product of Gegenbauer Polynomials
title_short Discrete-Time Filter Synthesis using Product of Gegenbauer Polynomials
title_sort discrete time filter synthesis using product of gegenbauer polynomials
topic Gegenbauer polynomials
lowpass filters
continuous-time filters
discrete-time filters
url http://www.radioeng.cz/fulltexts/2016/16_03_0500_0505.pdf
work_keys_str_mv AT nstojanovic discretetimefiltersynthesisusingproductofgegenbauerpolynomials
AT nstamenkovic discretetimefiltersynthesisusingproductofgegenbauerpolynomials
AT ikrstic discretetimefiltersynthesisusingproductofgegenbauerpolynomials