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Circuits, Systems, and Signal Processing

, Volume 35, Issue 2, pp 685–692 | Cite as

Optimization Design of Two-Channel Biorthogonal Graph Filter Banks

  • Jun-Zheng Jiang
  • Fang ZhouEmail author
  • Peng-Lang Shui
Short Paper

Abstract

Narang and Ortega have constructed a two-channel biorthogonal graph filter bank with compact support. The design method does not consider the spectral response of the kernels. In this letter, we employ optimization approach to design the spectral kernels. The analysis and synthesis kernels are, respectively, optimized with constrained optimization problems, in which the reconstruction error and spectral selectivity are controlled simultaneously. The optimization problems are semidefinite programming (SDP), which can be solved effectively. Numerical examples and comparison are included to show that the proposed approach is more flexible in making trade-off between the spectral selectivity and reconstruction error over the existing method.

Keywords

Graph filter bank Spectral kernel Optimization 

Notes

Acknowledgments

The authors would like to thank Dr. Sunil K. Narang and Prof. Antonio Ortega for sharing MATLAB code of graph filter bank Online.

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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.School of Information and CommunicationGuilin University of Electronic TechnologyGuilinChina
  2. 2.Guangxi Experiment Center of Information ScienceGuilinChina
  3. 3.National Laboratory of Radar Signal ProcessingXidian UniversityXi’anChina

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