Lifting-based design of two-channel biorthogonal graph filter bank

Jun-Zheng Jiang; Fang Zhou; Peng-Lang Shui

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Lifting-based design of two-channel biorthogonal graph filter bank

机译：基于提升的两通道双正交图滤波器组设计

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摘要

In this study, the lifting scheme is first employed to design two-channel biorthogonal graph filter bank. The biorthogonal condition is parameterised by imposing a single-level lifting structure on the analysis and synthesis graph kernels. Based on the parametric structure, the two kernels are separately optimised by constrained quadratic programming. The obtained two-channel biorthogonal graph filter banks are of structurally perfect reconstruction. Numerical results and comparison are included to show the proposed algorithm can lead to biorthogonal graph filter banks with improved performance.

机译：在这项研究中，首先采用提升方案来设计两通道双正交图滤波器组。通过在分析和合成图内核上施加单级提升结构来对双正交条件进行参数化。基于参数结构，通过约束二次规划分别优化了两个内核。所获得的两通道双正交图滤波器组在结构上是完美的重建。数值结果和比较结果表明，该算法可以提高双正交图滤波器组的性能。

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《Signal Processing, IET》 |2016年第6期|670-675|共6页
作者
Jun-Zheng Jiang; Fang Zhou; Peng-Lang Shui;
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Guilin University of Electronic Technology, People's Republic of China;

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1. An Eigenfilter-Based Approach to the Design of Time-Frequency Localization Optimized Two-Channel Linear Phase Biorthogonal Filter Banks [J] . Sharma Manish, Gadre Vikram M., Porwal Saket Circuits, systems, and signal processing . 2015,第3期

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2. An Eigenfilter-Based Approach to the Design of Time-Frequency Localization Optimized Two-Channel Linear Phase Biorthogonal Filter Banks [J] . Manish Sharma, Vikram M. Gadre, Saket Porwal Circuits, Systems, and Signal Processing . 2015,第3期

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3. Design of two-channel linear-phase FIR biorthogonal filter banks using multicriterion optimization [J] . FELICJA WYSOCKA-SCHILLAK Elektronika . 2008,第4期

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4. M-CHANNEL LIFTING-BASED DESIGN OF PARAUNITARY AND BIORTHOGONAL FILTER BANKS WITH STRUCTURAL REGULARITY [C] . Ying-Jui Chen, Soontorn Oraintara, Kevin Amaratunga IEEE International Symposium on Circuits and Systems . 2003

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5. Image and texture analysis using biorthogonal angular filter banks. [D] . Gonzalez Rosiles, Jose Gerardo. 2004

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6. Time–frequency localization using three-tap biorthogonal wavelet filter bank for electrocardiogram compressions [O] . Ashish Kumar, Rama Komaragiri, Manjeet Kumar 2019

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7. M-Channel Lifting-Based Design of Paraunitary and Biorthogonal Filter Banks with Structural Regularity [O] . Ying-jui Chen, Soontorn Oraintara, Kevin Amaratunga 2007

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8. New Class of Two-Channel Biorthogonal Filter Banks and Wavelet Bases [R] . Phoong, S. M., Vaidyanathan, P. P., Ansari, R., 1993

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Lifting-based design of two-channel biorthogonal graph filter bank

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