Design of least asymmetric compactly supported orthogonal wavelets via optimization

The compactly supported orthogonal wavelets have found wide applications in practice. A disadvantage of these wavelets is that they are not symmetric. Thus they do not have a linear phase which is a property often desired in some applications such as signal processing. In this paper, degrees of freedom are introduced in the design to minimize the asymmetry of the wavelets. The results indicate that the compactly supported orthogonal wavelets designed via optimization are much less asymmetric and have an approximate linear phase.