Properties of extended Legendre wavelets
Xiaoyang Zheng, Xiaofan Yang, Yong Wu · 2008
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.