Uncertainty product of the spherical Gauss-Weierstrass wavelet
Ilona Iglewska-Nowak
TL;DR
This paper investigates the asymptotic behavior of the uncertainty product of the spherical Gauss-Weierstrass wavelet, revealing that it remains bounded, which sets it apart from other wavelet families.
Contribution
It demonstrates that the uncertainty product of the spherical Gauss-Weierstrass wavelet is bounded, highlighting a unique property compared to other wavelet families.
Findings
Uncertainty product of the wavelet is asymptotically bounded.
Gauss-Weierstrass wavelet has a distinctive bounded uncertainty product.
The boundedness distinguishes it from other wavelet families.
Abstract
In this paper, asymptotic behavior of the uncertainty product of Gauss-Weierstrass wavelet is investigated. It is shown that the uncertainty product is bounded from above, a feature that distinguishes Gauss-Weierstrass wavelet among other wavelet families.
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Taxonomy
TopicsMathematical Analysis and Transform Methods · Image and Signal Denoising Methods · Digital Filter Design and Implementation