Local Measurement and Diffusion Reconstruction for Signals on a Weighted Graph
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-07-19
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Bandlimited graph signals on an unweighted graph can be reconstructed by its local measurement, which is a generalization of decimation.
Since most signals are weighted in real life, we extend and improve the iterative local measurement reconstruction (ILMR) by introducing the diffusion operators to reconstruct bandlimited signals on a weighted graph.
We prove that the proposed reconstruction converges to the original signal.
Moreover, the simulation results demonstrate that the improved algorithm has better convergence and has robustness against noise.
American Psychological Association (APA)
Jiang, Yingchun& Li, Ting. 2018. Local Measurement and Diffusion Reconstruction for Signals on a Weighted Graph. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1206791
Modern Language Association (MLA)
Jiang, Yingchun& Li, Ting. Local Measurement and Diffusion Reconstruction for Signals on a Weighted Graph. Mathematical Problems in Engineering No. 2018 (2018), pp.1-8.
https://search.emarefa.net/detail/BIM-1206791
American Medical Association (AMA)
Jiang, Yingchun& Li, Ting. Local Measurement and Diffusion Reconstruction for Signals on a Weighted Graph. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1206791
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1206791