Journal article
Authors list: Bacchelli, S; Cotronei, M; Sauer, T
Publication year: 2002
Pages: 581-598
Journal: Advances in Applied Mathematics
Volume number: 29
Issue number: 4
ISSN: 0196-8858
DOI Link: https://doi.org/10.1016/S0196-8858(02)00033-7
Publisher: Elsevier
Abstract:
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. (C) 2002 Elsevier Science (USA). All rights reserved.
Citation Styles
Harvard Citation style: Bacchelli, S., Cotronei, M. and Sauer, T. (2002) Wavelets for multichannel signals, Advances in Applied Mathematics, 29(4), Article PII S0196-8858(02)00033-7. pp. 581-598. https://doi.org/10.1016/S0196-8858(02)00033-7
APA Citation style: Bacchelli, S., Cotronei, M., & Sauer, T. (2002). Wavelets for multichannel signals. Advances in Applied Mathematics. 29(4), Article PII S0196-8858(02)00033-7, 581-598. https://doi.org/10.1016/S0196-8858(02)00033-7
Keywords
full rank subdivision; matrix wavelets; multichannel wavelets; multiwavelets; stationary subdivision
