Signal Reconstruction Using New Biorthogonal Frequency-Modified Kravchenko Wavelets When Representing the Measurement Process as a Convolution Model

Kravchenko V. F.; Pustovoit V. I; Yurin A. V

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Signal Reconstruction Using New Biorthogonal Frequency-Modified Kravchenko Wavelets When Representing the Measurement Process as a Convolution Model

机译：使用新的双正交频率修改kravchenko小波表示测量过程作为卷积模型的信号重建

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A new biorthogonal system of wavelet bases has been constructed, which is oriented toward reconstructing the useful signal of a measuring system if the measurement process is represented as a convolution model. New biorthogonal wavelet bases are obtained by using a instrumental function to modify a Kravchenko orthogonal wavelet system with a finite spectrum. The properties of new biorthogonal frequency-modified wavelets are studied, and digital filters that realize fast computational algorithms are constructed. Schemes for multiresolution analysis are proposed, which, during discrete wavelet transform, immediately solve the problem of reconstructing the useful signal, as well as effective noise suppression, which can significantly speed up computations.

机译：如果测量过程表示为卷积模型，则构造了一种朝向重建测量系统的有用信号的新的小波碱基。通过使用仪器功能来改变具有有限频谱的Kravchenko正交小波系统来获得新的双正交小波碱基。研究了新的双正交频率修改小波的特性，构建了实现快速计算算法的数字滤波器。提出了多分辨率分析的方案，其在离散小波变换期间，立即解决重建有用信号的问题，以及有效的噪声抑制，这可以显着加速计算。

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《NTT R&D》 |2020年第4期|423-448|共26页
作者
Kravchenko V. F.; Pustovoit V. I; Yurin A. V;
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Russian Acad Sci Kotelnikov Inst Radioengn & Elect Moscow 125009 Russia|Russian Acad Sci Sci & Technol Ctr Unique Instrumentat Moscow 117342 Russia|Moscow Bauman State Tech Univ Moscow 105005 Russia;

Russian Acad Sci Kotelnikov Inst Radioengn & Elect Moscow 125009 Russia;

Moscow Bauman State Tech Univ Moscow 105005 Russia;

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2. STUDY ON RECURSIVE CONSTRUCTION METHOD OF BIORTHOGONAL WAVELETS FOR SIGNAL PROCESSING [J] . ZHONGHONG YAN, JIAN PING LI, YONG QIN YANG, International Journal of Wavelets, Multiresolution and Information Processing . 2004,第2期

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5. Probabilistic modeling of wavelet coefficients for processing of image and video signals. [D] . Rahman, S. M. Mahbubur. 2009

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6. Optimal model for 4-band biorthogonal wavelets bases for fast calculation [O] . Qingyun Zou, Guoqiu Wang -1

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Signal Reconstruction Using New Biorthogonal Frequency-Modified Kravchenko Wavelets When Representing the Measurement Process as a Convolution Model

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