Construction of orthogonal wavelet filters in terms of unitary transform

Unitary transform of conjugate quadrature filter (CQF) is introduced for constructing orthogonal wavelet filters. As its applications, we not only provide a complete and explicit parameterization of one-dimensional orthogonal wavelet system, but also present a method for parameterized constructing two-dimensional orthogonal wavelet filters. By constructing non-separable two-dimensional orthogonal wavelet filters, we also give an example to illustrate the second application.