Wavelet Series Of Fractal

Wavelet nanlysis and fractal geometry are two closely related hot topics in mathematics. Their links between one and another have been studied by many researchers, producing many published results. This article uses positional notation and iterated function systems to provide a class of wavelet series which are continuous everywhere but differentiable nowhere. These serles are used to construct fractal functions, providing a general method of using linear spline interpolated wavelet to construct fractal functions.