Two-Dimensional Antisymmetric Linear Phase Filter Bank Construction Using Symmetric Completion

For a given antisymmetric linear phase (LP) filter in two dimensions, an approach that can parameterize the counterpart filter such that they can form a perfect reconstruction filter bank (FB) is proposed. This approach is motivated by a previous work and remedies the incomplete solution there. To illustrate its incompleteness, classification of LP perfect reconstruction FBs is introduced. Possibilities of extension of the proposed scheme are also discussed