Conference paper

Dual non-negative rational symbols with arbitrary approximation order


Authors listCotronei, M; Lo Cascio, ML; Sauer, T

Publication year2004

Pages497-510

JournalApplied Numerical Mathematics

Volume number51

Issue number4

ISSN0168-9274

eISSN1873-5460

DOI Linkhttps://doi.org/10.1016/j.apnum.2004.06.006

Conference2nd Meeting on Applied Scientific Computing and Tools

PublisherElsevier


Abstract
We consider the construction of dual filters with a prescribed approximation order, that is with the ability to reproduce polynomials up to a certain degree. Specifically, we illustrate how to construct nonnegative duals when starting from a nonnegative primal filter. This construction produces filters with rational symbol, which can then be either implemented efficiently as recursive IIR filter or approximated by a Laurent polynomial. (C) 2004 IMACS. Published by Elsevier B.V. All rights reserved.



Citation Styles

Harvard Citation styleCotronei, M., Lo Cascio, M. and Sauer, T. (2004) Dual non-negative rational symbols with arbitrary approximation order, Applied Numerical Mathematics, 51(4), pp. 497-510. https://doi.org/10.1016/j.apnum.2004.06.006

APA Citation styleCotronei, M., Lo Cascio, M., & Sauer, T. (2004). Dual non-negative rational symbols with arbitrary approximation order. Applied Numerical Mathematics. 51(4), 497-510. https://doi.org/10.1016/j.apnum.2004.06.006



Keywords


Bezout identitydual filtersFILTERSnon-negative symbolrational symbols

Last updated on 2025-02-04 at 04:06