Wide-sense stationarity and spectral estimation for generalized graph signal
We consider a probabilistic model for graph signal processing (GSP) in a generalized framework where each vertex of a graph is associated with an element from a Hilbert space. We introduce the notion of joint wide-sense stationarity in this generalized GSP (GGSP) framework, which allows us to charac...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Conference Paper |
| Language: | English |
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2022
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| Online Access: | https://hdl.handle.net/10356/161587 |
| _version_ | 1824455549389897728 |
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| author | Jian, Xingchao Tay, Wee Peng |
| author2 | School of Electrical and Electronic Engineering |
| author_facet | School of Electrical and Electronic Engineering Jian, Xingchao Tay, Wee Peng |
| author_sort | Jian, Xingchao |
| collection | NTU |
| description | We consider a probabilistic model for graph signal processing (GSP) in a generalized framework where each vertex of a graph is associated with an element from a Hilbert space. We introduce the notion of joint wide-sense stationarity in this generalized GSP (GGSP) framework, which allows us to characterize a random graph process as a combination of uncorrelated oscillation modes across both the vertex and Hilbert space domains. We also propose a method for joint power spectral density estimation in case of missing features. Experiment results corroborate the effectiveness of our estimation approach. |
| first_indexed | 2025-02-19T03:39:58Z |
| format | Conference Paper |
| id | ntu-10356/161587 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2025-02-19T03:39:58Z |
| publishDate | 2022 |
| record_format | dspace |
| spelling | ntu-10356/1615872022-09-12T02:50:14Z Wide-sense stationarity and spectral estimation for generalized graph signal Jian, Xingchao Tay, Wee Peng School of Electrical and Electronic Engineering ICASSP 2022 - 2022 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) Centre for Infocomm Technology (INFINITUS) Engineering::Electrical and electronic engineering Graph Signal Processing Hilbert Space We consider a probabilistic model for graph signal processing (GSP) in a generalized framework where each vertex of a graph is associated with an element from a Hilbert space. We introduce the notion of joint wide-sense stationarity in this generalized GSP (GGSP) framework, which allows us to characterize a random graph process as a combination of uncorrelated oscillation modes across both the vertex and Hilbert space domains. We also propose a method for joint power spectral density estimation in case of missing features. Experiment results corroborate the effectiveness of our estimation approach. Ministry of Education (MOE) Submitted/Accepted version This research is supported by the Singapore Ministry of Education Academic Research Fund Tier 2 grant MOE-T2EP20220-0002. 2022-09-12T02:50:14Z 2022-09-12T02:50:14Z 2022 Conference Paper Jian, X. & Tay, W. P. (2022). Wide-sense stationarity and spectral estimation for generalized graph signal. ICASSP 2022 - 2022 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 5827-5831. https://dx.doi.org/10.1109/ICASSP43922.2022.9747273 9781665405409 https://hdl.handle.net/10356/161587 10.1109/ICASSP43922.2022.9747273 2-s2.0-85131249219 5827 5831 en MOE-T2EP20220-0002 © 2022 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. The published version is available at: https://doi.org/10.1109/ICASSP43922.2022.9747273. application/pdf |
| spellingShingle | Engineering::Electrical and electronic engineering Graph Signal Processing Hilbert Space Jian, Xingchao Tay, Wee Peng Wide-sense stationarity and spectral estimation for generalized graph signal |
| title | Wide-sense stationarity and spectral estimation for generalized graph signal |
| title_full | Wide-sense stationarity and spectral estimation for generalized graph signal |
| title_fullStr | Wide-sense stationarity and spectral estimation for generalized graph signal |
| title_full_unstemmed | Wide-sense stationarity and spectral estimation for generalized graph signal |
| title_short | Wide-sense stationarity and spectral estimation for generalized graph signal |
| title_sort | wide sense stationarity and spectral estimation for generalized graph signal |
| topic | Engineering::Electrical and electronic engineering Graph Signal Processing Hilbert Space |
| url | https://hdl.handle.net/10356/161587 |
| work_keys_str_mv | AT jianxingchao widesensestationarityandspectralestimationforgeneralizedgraphsignal AT tayweepeng widesensestationarityandspectralestimationforgeneralizedgraphsignal |