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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Format: | Article |
Language: | English |
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Spolecnost pro radioelektronicke inzenyrstvi
2016-09-01
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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. |
first_indexed | 2024-12-21T05:35:26Z |
format | Article |
id | doaj.art-fce31e5281854ea188a048d61f91e6f3 |
institution | Directory Open Access Journal |
issn | 1210-2512 |
language | English |
last_indexed | 2024-12-21T05:35:26Z |
publishDate | 2016-09-01 |
publisher | Spolecnost pro radioelektronicke inzenyrstvi |
record_format | Article |
series | Radioengineering |
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 |