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Critically sampled graph filter banks with polynomial filters from regular domain filter banks

journal contribution
posted on 2017-02-01, 00:00 authored by David TayDavid Tay, Y Tanaka, A Sakiyama
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.

History

Journal

Signal processing

Volume

131

Pagination

66-72

Location

Amsterdam, The Netherlands

ISSN

0165-1684

Language

eng

Publication classification

C Journal article, C1.1 Refereed article in a scholarly journal

Copyright notice

2016, Elsevier B.V.

Publisher

Elsevier