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.

Dual non-negative rational symbols with arbitrary approximation order

COTRONEI, Mariantonia;
2004

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.
Bézout identity; Dual filters; Rational symbols
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12318/2517
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