Title :
Properties of extended Legendre wavelets
Author :
Zheng, Xiao-yang ; Yang, Xiao-fan ; Wu, Yong
Author_Institution :
Coll. of Math. & Phys., Chongqing Inst. of Technol., Chongqing
Abstract :
The multiwavelet property of Legendre wavelets is obtained by multiresolution analysis of multiplicity. Taking advantage of the translation property of Legendre wavelets, the extended Legendre wavelets, defined on the interval (-r, r), is achieved through a translation operator transformation on Legendre wavelets. This paper considers the multiwavelet property, orthogonality, symmetry, continuity and compact support of the extended Legendre wavelets.
Keywords :
mathematical operators; wavelet transforms; continuity property; extended Legendre wavelet; multiresolution multiplicity analysis; multiwavelet property; orthogonality; symmetric property; translation operator transformation; Computer science; Educational institutions; Hilbert space; Mathematics; Multiresolution analysis; Pattern analysis; Pattern recognition; Physics; Wavelet analysis; Wavelet coefficients; Extended; Legendre Wavelets; Multiresolution Analysis of Multiplicity; Multiwavelet Property; Orthogonality;
Conference_Titel :
Wavelet Analysis and Pattern Recognition, 2008. ICWAPR '08. International Conference on
Conference_Location :
Hong Kong
Print_ISBN :
978-1-4244-2238-8
Electronic_ISBN :
978-1-4244-2239-5
DOI :
10.1109/ICWAPR.2008.4635855
