Robust Analytical Design of Optimal Equiripple Lowpass FIR Filters

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F20%3A00341599" target="_blank" >RIV/68407700:21230/20:00341599 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1109/LSP.2020.2989679" target="_blank" >https://doi.org/10.1109/LSP.2020.2989679</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1109/LSP.2020.2989679" target="_blank" >10.1109/LSP.2020.2989679</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Robust Analytical Design of Optimal Equiripple Lowpass FIR Filters

Popis výsledku v původním jazyce

For the first time, an analytical design of optimal equiripple lowpass finite impulse response filters is presented. An analytical filter design, which is based on formulas, stands in contrast to the Parks-McClellan approach which is based on a numerical optimization. An advantage of evaluating impulse response coefficients using formulas over a numerical optimization is the robustness of the analytical design. Equiripple filters are optimal in terms of a minimal filter length for an arbitrary filter specification. The novel design is based on an equiripple approximating polynomial which approximates two constants in two disjoint intervals in optimal equiripple sense. A recursive formula for evaluating the impulse response of the filter is also introduced. The algorithm provides not only robust formulas for evaluating the impulse response, but also an analytical view on its coefficients. An example demonstrates the efficiency of the design. Its superiority in terms of robustness over the Parks-McClellan approach is emphasized.

Název v anglickém jazyce

Robust Analytical Design of Optimal Equiripple Lowpass FIR Filters

Popis výsledku anglicky

For the first time, an analytical design of optimal equiripple lowpass finite impulse response filters is presented. An analytical filter design, which is based on formulas, stands in contrast to the Parks-McClellan approach which is based on a numerical optimization. An advantage of evaluating impulse response coefficients using formulas over a numerical optimization is the robustness of the analytical design. Equiripple filters are optimal in terms of a minimal filter length for an arbitrary filter specification. The novel design is based on an equiripple approximating polynomial which approximates two constants in two disjoint intervals in optimal equiripple sense. A recursive formula for evaluating the impulse response of the filter is also introduced. The algorithm provides not only robust formulas for evaluating the impulse response, but also an analytical view on its coefficients. An example demonstrates the efficiency of the design. Its superiority in terms of robustness over the Parks-McClellan approach is emphasized.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

20201 - Electrical and electronic engineering

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2020

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

IEEE SIGNAL PROCESSING LETTERS

ISSN

1070-9908

e-ISSN

1558-2361

Svazek periodika

27

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

5

Strana od-do

755-759

Kód UT WoS článku

000542927200002

EID výsledku v databázi Scopus

2-s2.0-85086769276