A Comparative Study between Mexican and Golden Hat Wavelets
Fabrı́cio Ely Gossler, Bruno Rodrigues de Oliveira, Jozué Vieira Filho, Francisco Villarreal Alvarado, M.A.Q. Duarte, Regina Litz Lamblém · Proceeding Series of the Brazilian Society of Computational and Applied Mathematics · 2018
In this work, a comparative analysis between Mexican Hat and Golden Hat wavelets is presented. The latter wavelet belongs to a new family of functions generated from Fibonacci coefficient polynomials. Although these wavelets have a very similar waveform, they have several distinct characteristics in time and the frequency domains. These distinctions are explored here in the scale-space.