CRITICALLY-SAMPLED GRAPH FILTER BANKS WITH SPECTRAL DOMAIN SAMPLING

被引:0
|
作者
Watanabe, Kana [1 ]
Sakiyama, Akie [1 ]
Tanaka, Yuichi [1 ,2 ]
Ortega, Antonio [3 ]
机构
[1] Tokyo Univ Agr & Technol, Tokyo, Japan
[2] Japan Sci & Technol Agcy, PRESTO, Saitama, Japan
[3] Univ Southern Calif, Los Angeles, CA 90089 USA
关键词
Graph signal processing; spectral graph wavelets; spectral domain sampling; dictionary design; STRUCTURED DATA; WAVELET; TRANSFORM; FRAMES;
D O I
暂无
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
This paper presents a framework for perfect reconstruction two-channel critically-sampled graph filter banks with spectral domain sampling. Graph signals have a unique characteristic: sampling in the vertex and graph spectral domains are generally different, in contrast to classical signal processing. Conventional graph filter banks are designed using vertex domain sampling, whereas the proposed approach utilizes a novel spectral domain sampling. Our proposed technique leads to perfect reconstruction transforms for any type of undirected graphs and can be applied both to combinatorial and symmetric normalized graph Laplacians. Some filter bank designs and an experiment on nonlinear approximation are shown to validate their effectiveness.
引用
收藏
页码:4054 / 4058
页数:5
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