IEEE Signal Processing Letters, vol. 4, no. 10, pp. 295-297,
Loss of Perfect Reconstruction in Multidimensional Filterbanks
and Wavelets Designed via Extended McClellan Transformations
Brian L. Evans,
Alan C. Bovik
Department of Electrical and Computer Engineering,
Engineering Science Building,
The University of Texas at Austin,
Austin, TX 78712-1084 USA
Two extensions of the McClellan transformation have been proposed to
transform even-length symmetric one-dimensional prototype filters into
even/odd-length multidimensional filters.
We show that, unlike the original McClellan transformation, the two extended
McClellan transformations suffer from a limitation in the design of
multidimensional two-channel FIR perfect reconstruction (PR) filter banks and
wavelets in the sense that there does not exist any transformation
function that can preserve PR after transformation.
However, for one of the transformations, we point out that near-PR filter
banks are possible.
Last Updated 11/07/04.