Graph Diffusion Operator Based Weighted Reconstruction Strategy for Band-limited Graph Signals

YANG Lishan; YOU Kangyong; GUO Wenbin

doi:10.11999/JEIT170106

Volume 39 Issue 12

Dec. 2017

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Article Navigation > Journal of Electronics & Information Technology > 2017 > 39(12): 2937-2944

YANG Lishan, YOU Kangyong, GUO Wenbin. Graph Diffusion Operator Based Weighted Reconstruction Strategy for Band-limited Graph Signals[J]. Journal of Electronics & Information Technology, 2017, 39(12): 2937-2944. doi: 10.11999/JEIT170106

Citation:

YANG Lishan, YOU Kangyong, GUO Wenbin. Graph Diffusion Operator Based Weighted Reconstruction Strategy for Band-limited Graph Signals[J]. Journal of Electronics & Information Technology, 2017, 39(12): 2937-2944. doi: 10.11999/JEIT170106

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Graph Diffusion Operator Based Weighted Reconstruction Strategy for Band-limited Graph Signals

doi: 10.11999/JEIT170106

Funds:

The National Natural Science Foundation of China (61271181)

Received Date: 2017-02-08
Rev Recd Date: 2017-09-11
Publish Date: 2017-12-19

Abstract

Abstract

Signal processing on graphs extends signal processing concepts and methodologies from the classical signal processing theory to data indexed by general graphs. For a band-limited graph signal, the unsampled data can be reconstructed from the sampled data by exploiting the relationship of the graph signals. This paper proposes a concept of graph diffusion operator for signal processing on graphs, and uses the operator to reconstruct band-limited graph signals from the sampled data. In each iteration, the residuals of the sampled vertices are propagated to all the unsampled vertices, and the known information and initial estimated results are further exploited via weighted process, aiming at accelerating the convergence. An analysis framework is proposed for the unsampled graph signals. The simulation results of synthetic data and real-world data demonstrate the wonderful effectiveness of the proposed reconstruction strategy.
- Band-limited graph signals processing,
- Graph diffusion operator,
- Downsampling and reconstruction

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References(15)

References

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