An algebraic construction of discrete wavelet transforms

@article{Kautský1993,
abstract = {Discrete wavelets are viewed as linear algebraic transforms given by banded orthogonal matrices which can be built up from small matrix blocks satisfying certain conditions. A generalization of the finite support Daubechies wavelets is discussed and some special cases promising more rapid signal reduction are derived.},
author = {Kautský, Jaroslav},
journal = {Applications of Mathematics},
keywords = {orthogonal transform; wavelet; pyramidal algorithm; discrete wavelets; banded orthogonal matrices; orthogonal wavelets; signal reduction; orthogonal transforms; pyramidal algorithm; Discrete wavelets; banded orthogonal matrices; orthogonal wavelets; signal reduction},
language = {eng},
number = {3},
pages = {169-193},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {An algebraic construction of discrete wavelet transforms},
url = {http://eudml.org/doc/15745},
volume = {38},
year = {1993},
}

TY - JOUR
AU - Kautský, Jaroslav
TI - An algebraic construction of discrete wavelet transforms
JO - Applications of Mathematics
PY - 1993
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 38
IS - 3
SP - 169
EP - 193
AB - Discrete wavelets are viewed as linear algebraic transforms given by banded orthogonal matrices which can be built up from small matrix blocks satisfying certain conditions. A generalization of the finite support Daubechies wavelets is discussed and some special cases promising more rapid signal reduction are derived.
LA - eng
KW - orthogonal transform; wavelet; pyramidal algorithm; discrete wavelets; banded orthogonal matrices; orthogonal wavelets; signal reduction; orthogonal transforms; pyramidal algorithm; Discrete wavelets; banded orthogonal matrices; orthogonal wavelets; signal reduction
UR - http://eudml.org/doc/15745
ER -