A generalized parametric PR-QMF design technique based on Bernstein polynomial approximation in the magnitude square domain is developed in this paper. The parametric nature of this solution provides useful insights to the PR-QMF problem. Several well-known orthonormal wavelet filters, PR-QMF's, are shown to be the special cases of the proposed technique. Energy compaction performance of a few popular signal decomposition techniques are presented for AR(1) signal sources. It is observed that the hierarchical QMF filter banks considered here outperform the block transforms as expected.
All Science Journal Classification (ASJC) codes
- Signal Processing
- Electrical and Electronic Engineering