An approximation of Daubechies wavelet matrices by perfect reconstruction filter banks with rational coefficients
Lasha Ephremidze, Aleksander Gamkrelidze, and Edem Lagvilava
TL;DR
This paper presents a method to approximate Daubechies wavelet matrices with rational coefficients while exactly maintaining the perfect reconstruction property of the filter bank.
Contribution
It introduces a technique for rational approximation of wavelet matrices that preserves perfect reconstruction, enhancing practical implementation options.
Findings
Rational approximations can preserve perfect reconstruction.
The method enables exact filter bank implementation with rational coefficients.
Potential for improved digital signal processing applications.
Abstract
It is described how the coefficients of Daubechies wavelet matrices can be approximated by rational numbers in such a way that the perfect reconstruction property of the filter bank be preserved exactly
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Taxonomy
TopicsImage and Signal Denoising Methods · Mathematical Analysis and Transform Methods · Advanced Image Fusion Techniques