ABSTRACT
Coiflets are a system of orthogonal wavelets with compact support. In addition, both the corresponding wavelet and scaling functions have vanishing moments. Wavelets with such characteristics were first analyzed by Ingrid Daubechies. She named these wavelets “coiflets” after Ronald Coifman, who requested her to analyze such wavelets. It turns out that coiflets are more symmetric than Daubechies’ wavelets. The chapter examines immediate consequences of vanishing moments of scaling and wavelet functions. Some of these results were derived in developing Daubechies wavelets. Construction of coiflets is similar to that of the Daubechies wavelets. The chapter outlines preliminaries to develop coiflets. This is followed by a scheme to construct coiflets.
