An algebraic construction of discrete wavelet transforms
Applications of Mathematics (1993)
- Volume: 38, Issue: 3, page 169-193
- ISSN: 0862-7940
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topKautský, Jaroslav. "An algebraic construction of discrete wavelet transforms." Applications of Mathematics 38.3 (1993): 169-193. <http://eudml.org/doc/15745>.
@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 -
References
top- I. Daubechies, 10.1002/cpa.3160410705, Comm. Pure Appl. Math. 41 (1988), 909-996. (1988) Zbl0644.42026MR0951745DOI10.1002/cpa.3160410705
- S. Mallat, 10.1109/34.192463, IEEE Trans. Pattern Anal, and Machine Intell. 11 (1989), 674-693. (1989) Zbl0709.94650DOI10.1109/34.192463
- Y. Meyer, Ondelettes et Opèrateurs, Hermann, Paris, 1990. (1990) Zbl0745.42011MR1085487
- G. Strang, 10.1137/1031128, SIAM Review 31(4) (1989), 614-627. (1989) Zbl0683.42030MR1025484DOI10.1137/1031128
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