Critically sampled graph filter banks with polynomial filters from regular domain filter banks
Critically sampled graph filter banks with polynomial filters from regular domain filter banks
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DOI：
10.1016/j.sigpro.2016.07.003
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发表时间：
2017-02
期刊：
影响因子：
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通讯作者：
D. Tay;Yuichi Tanaka;Akie Sakiyama
中科院分区：
文献类型：
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作者：
D. Tay;Yuichi Tanaka;Akie Sakiyama
图信号处理处理的是定义在不规则域上的信号，是一个新兴的研究领域。图滤波器组允许小波变换扩展到处理图信号。Sakiyama和Tanaka(2015)[22]最近提出了一种将正则域信号的线性相位双正交滤波器组转换为双正交图滤波器组的技术。该方法可以保持完美的重建，但得到的光谱滤波函数是超越的，而不是多项式的。多项式函数滤波器具有良好的定位特性和实现效率。在这项工作中，我们提出了执行转换的替代技术。所提出的技术可以保持完美的重建，并且所得到的光谱滤波器是多项式函数。
Graph signal processing deals with the processing of signals defined on irregular domains and is an emerging area of research. Graph filter banks allow the wavelet transform to be extended for processing graph signals. Sakiyama and Tanaka (2015) [22] recently proposed a technique to convert linear-phase biorthogonal filter banks for regular domain signals to biorthogonal graph filter banks. Perfect reconstruction is preserved using the technique but the resulting spectral filter functions are transcendental and not polynomial. Polynomial function filters are desired for the localization property and implementation efficiency. In this work we present alternative techniques to perform the conversion. Perfect reconstruction is preserved with the proposed techniques and the resulting spectral filters are polynomial functions.