Construction of Orthogonal Complex Wavelets

Qingming Zhang

Abstract: So for, the symmetric orthogonal complex wavelets with compact support were widely used in image processing and statistical model. In this paper, we present a construction method for parameterizing orthogonal complex wavelets. By this method, we can construct some complex wavelets with high sum rules or conjugate symmetric, at the same time, some examples are given in this paper.

Keywords: compact support, symmetry, orthogonality, complex wavelets, parameterization