Open AccessLifting‐based design of two‐channel biorthogonal graph filter bank
Author(s) -
Jiang JunZheng,
Zhou Fang,
Shui PengLang
Publication year - 2016
Publication title -
iet signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.384
H-Index - 42
ISSN - 1751-9683
DOI - 10.1049/iet-spr.2015.0433
Subject(s) - biorthogonal system , filter bank , computer science , graph , mathematics , algorithm , finite impulse response , filter (signal processing) , discrete mathematics , topology (electrical circuits) , combinatorics , artificial intelligence , computer vision , wavelet transform , wavelet
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.