Wavelets for multichannel signals
Source: Advances in Applied Mathematics, Volume 29, Number 4, November 2002 , pp. 581-598(18)
Publisher: Academic Press
In this paper, we introduce and investigate multichannel wavelets, which are wavelets for vector fields, based on the concept of full rank subdivision operators. We prove that, like in the scalar and multiwavelet case, the existence of a scaling function with orthogonal integer translates guarantees the existence of a wavelet function, also with orthonormal integer translates. In this context, however, scaling functions as well as wavelets turn out to be matrix-valued functions.
© 2002 Elsevier Science (USA)
Document Type: Research Article
Affiliations: 1: Department of Mathematics, University of Bologna, Piazza di Porta S. Donato, 5, I-40127 Bologna, Italy 2: Department of Mathematics, University of Messina, Salita Sperone, 31, I-98166 Messina, Italy 3: Lehrstuhl fu¨r Numerische Mathematik, Justus–Liebig-Universita¨t Gießen, Heinrich–Buff-Ring 44, D-35392 Gießen, Germany
Publication date: November 2002