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Erschienen in:
2012 | OriginalPaper | Buchkapitel
The Features of a Sort of Seven-Variant Wavelet Wraps Concerning a Seven-Variant Scaling Functions
verfasst von : Baozhen Wang, Huimin Wang
Erschienen in: Advances in Future Computer and Control Systems
Verlag: Springer Berlin Heidelberg
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Information science is an interdisciplinary science primarily conce-rned with the analysis, collection,classification, manipulation, storage, retrieval and dissemination of information.Wavelet wraps have been the focus of active research for twenty years, both in theory and applications. In this work, the notion of orthogonal nonseparable seven-variant wavelet wraps is introduced. A new approach for designing them is presented by iteration method. We proved that the seven-variant wavelet wraps are of the orthogonality trait. We give three orthogonality for-mulas regarding the wavelet packets. We show how to construct nonseparable seven-variant wavelet packet bases. The orthogonal seven-dimensional wavelet wraps may have arbitrayily high regularities.