PR-QMF design with Bernstein polynomials
H. Çağlar, Ali N. Akansu · 2003
A generalized, parametric PR-QMF (perfect reconstruction quadrature mirror filter) design technique based on the Bernstein polynomial approximation is developed. The parametric nature of this solution provides very useful insights into the PR-QMF problem. Several well-known orthonormal wavelet filters, PR-QMFs, are shown to be the special cases of the proposed technique. The energy compaction performance of a few popular signal decomposition techniques is presented for AR(1) signal sources. It is shown that the QMF filter banks considered here outperform the block transforms, as expected.>