Two-dimensional orthogonal filter banks and wavelets with linear phase

نویسندگان

  • David Stanhill
  • Yehoshua Y. Zeevi
چکیده

Two-dimensional (2-D) compactly supported, orthogonal wavelets and filter banks having linear phase are presented. Two cases are discussed: wavelets with two-fold symmetry (centrosymmetric) and wavelets with four-fold symmetry that are symmetric (or anti-symmetric) about the vertical and horizontal axes. We show that imposing the requirement of linear phase in the case of order-factorable wavelets imposes a simple constraint on each of its polynomial order-1 factors. We thus obtain a simple and complete method of constructing orthogonal order-factorable wavelets with linear phase. This method is exemplified by design in the case of four-band separable sampling. An interesting result that is similar to the one well-known in the one-dimensional (1-D) case is obtained: Orthogonal order-factorable wavelets cannot be both continuous and have four-fold symmetry.

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عنوان ژورنال:
  • IEEE Trans. Signal Processing

دوره 46  شماره 

صفحات  -

تاریخ انتشار 1998