An approximation of Daubechies wavelet matrices by perfect\n reconstruction filter banks with rational coefficients

2011/06/27 by Lasha Ephremidze, Ephremidze, Lasha, Aleksander Gamkrelidze +3
Computer Science · Engineering · Mathematics · #42C40 #Advanced Image Fusion Techniques #Digital Filter Design and Implementation #FOS: Mathematics #Image and Signal Denoising Methods #Mathematical Analysis and Transform Methods #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.1106.5439

openalex publication_date 2011/06/27 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

It is described how the coefficients of Daubechies wavelet matrices can be\napproximated by rational numbers in such a way that the perfect reconstruction\nproperty of the filter bank be preserved exactly\n

Citations

• Orthonormal bases of compactly supported wavelets

Related

• Easy-to-compute parameterizations of all wavelet filters: input-output and state-space
• Asymptotics and numerics of zeros of polynomials that are related to Daubechies wavelets
• Realizations of infinite products, Ruelle operators and wavelet filters
• Bivariate Daubechies Scaling Functions (Wavelets)
• The Causal Complementation Algorithm for Lifting Factorization of Perfect Reconstruction Multirate Filter Banks