Miraki, Amir and Saeedi-Sourck, Hamid and Marchetti, Nicola and Farhang, Arman (2021) Spectral Domain Spline Graph Filter Bank. IEEE Signal Processing Letters, 28. pp. 469-473. ISSN 1070-9908

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Abstract

In this letter, we present a structure for two-channel spline graph filter bank with spectral sampling (SGFBSS) on arbitrary undirected graphs. Our proposed structure has many desirable properties; namely, perfect reconstruction, critical sampling in spectral domain, flexibility in the choice of shape and cut-off frequency of the filters, and low complexity implementation of the synthesis section, thanks to our closed-form derivation of the synthesis filter and its sparse structure. These properties play a pivotal role in multi-scale transforms of graph signals. Additionally, this framework can use both normalized and non-normalized Laplacian of any undirected graph.We evaluate the performance of our proposed SGFBSS structure in nonlinear approximation and denoising applications through simulations. We also compare our method with the existing graph filter bank structures and show its superior performance.

Item Type:	Article
Keywords:	Graph signal processing; spectral sampling; spline graph filter bank;
Academic Unit:	Faculty of Science and Engineering > Research Institutes > Hamilton Institute
Item ID:	18478
Identification Number:	https://doi.org/10.1109/LSP.2021.3059203
Depositing User:	Arman Farhang
Date Deposited:	07 May 2024 11:01
Journal or Publication Title:	IEEE Signal Processing Letters
Publisher:	IEEE
Refereed:	Yes
URI:	Publisher
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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