Meyer's wavelet with a refined localization
Numerical methods and programming, Tome 7 (2006) no. 1, pp. 122-124
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A specific form of the uncertainty constant for Meyer's wavelet is derived.
This form is considered as a functional dependent on the function specifying Meyer's wavelet family. Numerical
minimization of this functional allows us to find an expression for the wavelet whose uncertainty constant is less than the standard one by a factor of 1.5.
Keywords:
wavelet, uncertainty constant, time-frequency localization, quadratic B-splines.
@article{VMP_2006_7_1_a14,
author = {E. A. Lebedeva and E. B. Postnikov},
title = {Meyer's wavelet with a refined localization},
journal = {Numerical methods and programming},
pages = {122--124},
publisher = {mathdoc},
volume = {7},
number = {1},
year = {2006},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMP_2006_7_1_a14/}
}
E. A. Lebedeva; E. B. Postnikov. Meyer's wavelet with a refined localization. Numerical methods and programming, Tome 7 (2006) no. 1, pp. 122-124. http://geodesic.mathdoc.fr/item/VMP_2006_7_1_a14/