Two-direction multiwavelet moments

Dual multiwavelet frames with symmetry from two-direction renable functions

Multiwavelet moments and projection prefilters

An efficient projection procedure is derived for use of orthogonal multiwavelets in the analysis of discrete data sequences. A family of simple prefilters corresponding to numerical quadrature evaluation of the projection integrals provides exact results for locally-polynomial data. The full approximation order of the multiwavelet basis can thus always be enabled. For nonpolynomial signals, the...

dual multiwavelet frames with symmetry from two-direction renable functions

Dual Multiwavelet Frames with Symmetry from Two-direction Refinable Functions

Motivated by [B. Han and Q. Mo, Adv. Comp. Math. 18 (2003) 211-245] and [B. Han and Z. Shen, Constr. Approx. 29 (2009) 369-406], we propose dual two-direction frames in dual Sobolev spaces (H(R), H−s(R)), with s > 0. Based on the dual two-direction frames from a pair of two-direction refinable functions, dual multiwavelet frames with symmetry {Ψ(x) := (ψ 1(x), ψ 2(x)) T }`=1 and {Ψ̃(x) : = (ψ̃ 1(...

dual multiwavelet frames with symmetry from two-direction renable functions

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