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Characterization of General Tight Wavelet Frames with Matrix Dilations and Tightness Preserving Oversampling

✍ Scribed by Charles K. Chui; Wojeich Czaja; Mauro Maggioni; Guideo Weiss

Publisher: SP Birkhäuser Verlag Boston
Year: 2002
Tongue: English
Weight: 219 KB
Volume: 8
Category: Article
ISSN: 1069-5869
DOI: 10.1007/s00041-002-0007-4

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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