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Lifting‐based design of two‐channel biorthogonal graph filter bank
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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.
Institution of Engineering and Technology (IET)
Title: Lifting‐based design of two‐channel biorthogonal graph filter bank
Description:
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.
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