The construction of M-band tight wavelet frames

Autor:	Zheng-Xing Cheng, Jin-cang Han
Rok vydání:	2005
Předmět:	Discrete wavelet transform Discrete mathematics Wavelet Second-generation wavelet transform Multiresolution analysis Frame (networking) Wavelet transform Orthonormal basis Algorithm Mathematics Wavelet packet decomposition
Zdroj:	Proceedings of 2004 International Conference on Machine Learning and Cybernetics (IEEE Cat. No.04EX826).
DOI:	10.1109/icmlc.2004.1380534
Popis:	The theory of frame multiresolution analysis (FMRA) is a direct generalization of the (orthonormal) multiresolution analysis of Mallat. It provides conceptually new mathematical and signal processing results. We discuss tight wavelet frames associated with generating refinable functions with dilation factor M>2. We present a sufficient condition for finite number of functions to form a tight wavelet frame and establish general principles for constructing tight wavelet frames.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::395b895c7303d96a354bc895c9f636bd https://doi.org/10.1109/icmlc.2004.1380534 Zobrazit plný text záznamu