NEW CONTINUOUS WAVELET FAMILY

Abstract

This paper proposes a new continuous wavelet family. Here we will take one function and those successive derivatives will become continuous by fundamental theorem of calculus .We will show that these functions become a new continuous wavelet family by satisfying the conditions of the wavelets without FIR filters and without scaling function like Mexican and Morlet. Wavelet analysis has attracted attention for its ability to analyze rapidly changing transient signals. Any application using the Fourier transform can be formulated using wavelets to provide more accurately localized temporial and frequency information.