In the present paper, we construct a system of Meyer wavelets with least possible uncertainty constant. The uncertainty constant minimization problem is reduced to a convex variational problem whose solution satisfies a second-order nonlinear differential equation. Solving this equation numerically, we obtain the desired system of wavelets. © 2008 Pleiades Publishing, Ltd.
Meyer wavelets with least uncertainty constant
Protasov, Vladimir
2008-01-01
Abstract
In the present paper, we construct a system of Meyer wavelets with least possible uncertainty constant. The uncertainty constant minimization problem is reduced to a convex variational problem whose solution satisfies a second-order nonlinear differential equation. Solving this equation numerically, we obtain the desired system of wavelets. © 2008 Pleiades Publishing, Ltd.File in questo prodotto:
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