• WAVELETS AND THE EVALUATION OF FILTER COEFFICIENTS

Abstract

Recent years have received much attention to wavelets because of its comprehensive mathematical power and good application potential in many interesting physical phenomena. We introduce definition and brief historical development of wavelets, the fundamentals of Hilbert-space, Fourier transform and general theorems needed. In this paper we also briefly review some of the available methods and propose a method [Section9] based on Fourier transform, multiple shift orthogonality and normalization to obtain filter coefficients to certain restricted cases. We also propose convergence analysis.