Title :
The construction of M-band tight wavelet frames
Author :
Han, Jin-cang ; Cheng, Zheng-Xing
Author_Institution :
Fac. of Sci., Xi´´an Jiaotong Univ., Shaanxi, China
Abstract :
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.
Keywords :
image resolution; signal processing; wavelet transforms; M-band tight wavelet frame; Mallat multiresolution analysis; direct generalization; frame multiresolution analysis; signal processing; Educational institutions; Hilbert space; Image coding; Image resolution; Multiresolution analysis; Signal denoising; Signal processing; Signal processing algorithms; Signal resolution; Sufficient conditions;
Conference_Titel :
Machine Learning and Cybernetics, 2004. Proceedings of 2004 International Conference on
Print_ISBN :
0-7803-8403-2
DOI :
10.1109/ICMLC.2004.1380534
