Abstract
We consider the multidimensional version of the problem of linear phase (LP) perfect reconstruction (PR) filter bank design. The filter bank design problem is posed as a matrix completion problem in the context of polynomial matrices having certain symmetries dictated by the linear phase property of the filter bank. We examine the usefulness of a strategy that succeeds in characterization and design of 1D linear phase filter banks via 2D examples. In the 2D quincunx case, for filter banks obtained by McClellan transformations a complete solution can be obtained via this method. The usefulness of the method remains questionable in more general situations. We discuss the issue with examples.
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