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Adaptive McClellan transformations for quincunx filter banks

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1 Author(s)
Shapiro, J.M. ; David Sarnoff Res. Center, Princeton, NJ, USA

A technique is developed for the design of 2-D nonseparable two-channel filter banks for a quincunx sampling lattice, where the isopotentials of the frequency response can be optimized and adapted to the input signal's statistics. By employing known odd-length symmetric linear phase filter banks as the l-D prototype filters for 2-D filters parameterized by the McClellan transformation, conditions are derived such that the resulting 2-D two-channel filter bank retains the perfect-reconstruction or aliasing-free properties of the 1-D prototype two-channel filter bank. A particular two-parameter transformation function is developed that has sufficient flexibility to adapt its orientation in any direction and whose optimization involves a simple constrained least-squares problem in which the feasible set lies within a circle. The results have practical applications in many areas of image and video processing where multirate filter banks are used

Published in:

Signal Processing, IEEE Transactions on  (Volume:42 ,  Issue: 3 )

Date of Publication:

Mar 1994

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