1993/07/01 by H. Çağlar, Ali N. Akansu · 1 citation
Computer Science · Mathematics · #Image and Signal Denoising Methods #Mathematical Analysis and Transform Methods #Digital Filter Design and Implementation #Quadrature mirror filter #Bernstein polynomial #Filter bank #Parametric statistics #Algorithm #Finite impulse response #Mathematics #Signal reconstruction #Orthonormal basis #Wavelet #Signal processing #Filter (signal processing) #Computer science #Applied mathematics #Filter design #Prototype filter #Artificial intelligence #Digital signal processing #Computer vision #Statistics
paper · doi:10.1109/78.224242
openalex publication_date 1993/07/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29
A generalized, parametric, perfect-reconstruction quadrature-mirror-filter (PR-QMF) design technique based on Bernstein polynomial approximation in the magnitude-square domain is presented. The parametric nature of this solution provides useful insights to the PR-QMF problem. Several well-known orthonormal wavelet filters, PR-QMFs, are shown to be the special cases of the proposed technique. Energy compaction performances of a few popular signal decomposition techniques are presented for AR(1) signal sources. It is observed that the hierarchical QMF filter banks considered outperform the block transforms as expected.>