Abstract
A multivariable optimization problem is set to design 2-band PR-QMFs. The energy compaction, aliasing energy, unit step response, zero-mean high-pass filter, uncorrelated subband signals, constrained nonlinearity of the phase-response, and the given input statistics are simultaneously considered in the proposed optimal filter design technique. A set of optimal PR-QMF solutions and the optimization criteria along with their objective performance is given for comparison. This PR-QMF design approach leads to an input driven adaptive subband filter bank structure. It is shown that the optimal filters objectively outperform the well known fixed PR-QMFs in the literature. The proposed PR-QMF design technique provides the mathematical tools for subjective performance improvements in subband image and video coding applications.
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