Sampling Set Selection for Bandlimited Signals over Perturbed Graph

Pei LI
Haiyang ZHANG
Fan CHU
Wei WU
Juan ZHAO
Baoyun WANG

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E103-A    No.6    pp.845-849
Publication Date: 2020/06/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.2019EAL2135
Type of Manuscript: LETTER
Category: Graphs and Networks
Keyword: 
graph signal processing,  sampling set,  mean square error,  reconstruction,  

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Summary: 
This paper proposes a sampling strategy for bandlimited graph signals over perturbed graph, in which we assume the edge between any pair of the nodes may be deleted randomly. Considering the mismatch between the true graph and the presumed graph, we derive the mean square error (MSE) of the reconstructed bandlimited graph signals. To minimize the MSE, we propose a greedy-based algorithm to obtain the optimal sampling set. Furthermore, we use Neumann series to avoid the pseudo-inverse computing. An efficient algorithm with low-complexity is thus proposed. Finally, numerical results show the superiority of our proposed algorithms over the other existing algorithms.