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Spectral Models for Orthonormal Wavelets and

✍ Scribed by F. Gómez-Cubillo; Z. Suchanecki

Publisher
SP Birkhäuser Verlag Boston
Year
2010
Tongue
English
Weight
780 KB
Volume
17
Category
Article
ISSN
1069-5869

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📜 SIMILAR VOLUMES

Symmetric–Antisymmetric Orthonormal Mult
Symmetric–Antisymmetric Orthonormal Multiwavelets and Related Scalar Wavelets
✍ L. Shen; H.H. Tan; J.Y. Tham 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 193 KB

For compactly supported symmetric-antisymmetric orthonormal multiwavelet systems with multiplicity 2, we first show that any length-2N multiwavelet system can be constructed from a length-(2N + 1) multiwavelet system and vice versa. Then we present two explicit formulations for the construction of m

Orthonormal Wavelets and Tight Frames wi
Orthonormal Wavelets and Tight Frames with Arbitrary Real Dilations
✍ Charles K Chui; Xianliang Shi 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 170 KB

The objective of this paper is to establish a complete characterization of tight frames, and particularly of orthonormal wavelets, for an arbitrary dilation factor a > 1, that are generated by a family of finitely many functions in L 2 := L 2 (R). This is a generalization of the fundamental work of

Completeness of Orthonormal Wavelet Syst
Completeness of Orthonormal Wavelet Systems for Arbitrary Real Dilations
✍ Richard S. Laugesen 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 174 KB

It is shown that the discrete Calderón condition characterizes completeness of orthonormal wavelet systems, for arbitrary real dilations. That is, if a > 1, b > 0, and the system = {a j/2 ψ(a j xbk) A new proof of the Second Oversampling Theorem is found, by similar methods.