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

Ephremidze L.; Gamkrelidze A.; Lagvilava E.

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

机译：用有理系数的完美重构滤波器组逼近Daubechies小波矩阵。

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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.

机译：描述了如何通过有理数来近似估计Daubechies小波矩阵的系数，从而精确地保留滤波器组的完美重构特性。

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《Advances in computational mathematics》 |2013年第1期|共12页
作者
Ephremidze L.; Gamkrelidze A.; Lagvilava E.;
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正文语种 eng
中图分类应用数学;
关键词
Daubechies wavelets; Paraunitary matrix polynomials;

机译：Daubechies小波;超单位矩阵多项式;

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专利

1. An approximation of Daubechies wavelet matrices by perfect reconstruction filter banks with rational coefficients [J] . Ephremidze L., Gamkrelidze A., Lagvilava E. Advances in computational mathematics . 2013,第1期

机译：用有理系数的完美重构滤波器组逼近Daubechies小波矩阵。
2. M-channel linear phase perfect reconstruction filter bank withrational coefficients [J] . Tran T.D. IEEE Transactions on Circuits and Systems. I, Regular Papers . 2002,第7期

机译：具有合理系数的M通道线性相位完美重构滤波器组
3. The theory and design of arbitrary-length cosine-modulated filter banks and wavelets, satisfying perfect reconstruction [J] . Nguyen T.Q., Koilpillai R.D. IEEE Transactions on Signal Processing . 1996,第3期

机译：满足理想重构要求的任意长度余弦调制滤波器组和小波的理论与设计
4. Low-delay perfect reconstruction two-channel FIR/IIR filter banks and wavelet bases with SOPOT coefficients [C] . Liu, W., Chan, . 2000

机译：具有SOPOT系数的低延迟完美重构两通道FIR / IIR滤波器组和小波基
5. Multicarrier Transceivers using DFT Filter Banks with Perfect Reconstruction Property. [D] . Duplessis Beaulieu, Francois. 2008

机译：使用具有完美重构特性的DFT滤波器组的多载波收发器。
6. Information Theory Filters for Wavelet Packet Coefficient Selection with Application to Corrosion Type Identification from Acoustic Emission Signals [O] . Gert Van Dijck, Marc M. Van Hulle 2011

机译：小波包系数选择的信息理论滤波器及其在声发射信号腐蚀类型识别中的应用
7. An approximation of Daubechies wavelet matrices by perfect reconstruction filter banks with rational coefficients [O] . Ephremidze, Lasha, Gamkrelidze, Aleksander, Lagvilava, Edem 2011

机译：Daubechies小波矩阵的完美近似具有有理系数的重建滤波器组
8. Rational Canonical Form of Polyphase Matrices with Applications to Designing Paraunitary Filter Banks [R] . Vouras, P., Tran, T., Ching, M. 2009

机译：多相矩阵的合理规范形式及其在设计不规则滤波器组中的应用

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

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