Construction of orthogonal wavelet filters in terms of unitary transform

Jianwei Yang, Yuan Yan Tang, Wei-Peng Zhang, Zhenyu He · 2005

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.

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