A note on spline wavelets  

作　　者：LIU YoumingDepartment of Applied Mathematics, Beijing Polytechnic University, Beijing 100022, China 

出　　处：《Chinese Science Bulletin》1997年第15期1250-1253,共4页

摘　　要：THE B-spline wavelets N_m （x） play an important role in the approximation theory sincethey are piecewise polynomials so that they may be used to fit a function and its derivatives atthe integers. However, except for m=1, 2, they do not have the interpolating property (i.e. N_m（n） ≠δ_n0. In this work, we shall construct a family of scaling functions of fatherwavelets which have the interpolating property and whose Fourier transforms are spline func-tions. As usual, these functions can be orthogonalized by Meyer’s technique and the corre-sponding mother wavelets ψ may be found by the

关 键 词：WAVELETS SCALING FUNCTION cardinality. 

分 类 号：O241[理学—计算数学]