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; LO CASCIO, M. L.; Sauer, T.. - In: APPLIED NUMERICAL MATHEMATICS. - ISSN 0168-9274. - 51:(2004), pp. 497-510. [10.1016/j.apnum.2004.06.006]
Dual non-negative rational symbols with arbitrary approximation order
COTRONEI, Mariantonia;
2004-01-01
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
