In this paper we study the problem of constructing refinable orthonormal cardinal functions from Blaschke products. The digital filter perspective of our construction corresponds to what is called an infinite impulse response (IIR) filter. We show how to construct, at least numerically, stable filters of this type in contrast to the Butterworth filter which is the maximally flat filter in our class
Refinable functions from Blaschke products / Cotronei, Mariantonia; LO CASCIO, M. L.; Kim, H. O.; Micchelli, C. A.; Sauer, T. - In: RENDICONTI DI MATEMATICA E DELLE SUE APPLICAZIONI. - ISSN 1120-7183. - 26:(2006), pp. 267-290.
Refinable functions from Blaschke products
COTRONEI, Mariantonia;
2006-01-01
Abstract
In this paper we study the problem of constructing refinable orthonormal cardinal functions from Blaschke products. The digital filter perspective of our construction corresponds to what is called an infinite impulse response (IIR) filter. We show how to construct, at least numerically, stable filters of this type in contrast to the Butterworth filter which is the maximally flat filter in our classFile in questo prodotto:
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