Robust Analytical Design of Optimal Equiripple Lowpass FIR Filters

Result code in 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>

Result on the web

<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>

Result language

angličtina

Original language name

Robust Analytical Design of Optimal Equiripple Lowpass FIR Filters

Original language description

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.

Czech name

—

Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

20201 - Electrical and electronic engineering

Project

—

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2020

Confidentiality

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

Name of the periodical

IEEE SIGNAL PROCESSING LETTERS

ISSN

1070-9908

e-ISSN

1558-2361

Volume of the periodical

27

Issue of the periodical within the volume

1

Country of publishing house

US - UNITED STATES

Number of pages

5

Pages from-to

755-759

UT code for WoS article

000542927200002

EID of the result in the Scopus database

2-s2.0-85086769276