IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Online ISSN : 1745-1337
Print ISSN : 0916-8508
Regular Section
Sampling Set Selection for Bandlimited Signals over Perturbed Graph
Pei LIHaiyang ZHANGFan CHUWei WUJuan ZHAOBaoyun WANG
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2020 Volume E103.A Issue 6 Pages 845-849

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Abstract

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.

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© 2020 The Institute of Electronics, Information and Communication Engineers
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