Introduction to wavelets in engineering
John R. Williams, Kevin S. Amaratunga · International Journal for Numerical Methods in Engineering · 1994
Abstract The aim of this paper is to provide an introduction to the subject of wavelet analysis for engineering applications. The paper selects from the recent mathematical literature on wavelets the results necessary to develop wavelet‐based numerical algorithms. In particular, we provide extensive details of the derivation of Mallat's transform and Daubechies' wavelet coefficients, since these are fundamental to gaining an insight into the properties of wavelets. The potential benefits of using wavelets are highlighted by presenting results of our research in one‐ and two‐dimensional data analysis and in wavelet solutions of partial differential equations.