An asymptotic expansion of continuous Wavelet transform for large dilation parameter

Abstract

In this paper , we derive asymptotic expansion of the wavelet transform for large values of the dilation parameter a by using Lopez and Pagola technique. Asymptotic expansion of Mexican Hat wavelet and Morlet wavelet transform are obtained as a special cases.

Keywords

• Asymptotic expansion
• Wavelet transform
• Fourier transform
• Mellin transform