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...

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Bibliographic Details
Main Authors: Jian, Xingchao, Tay, Wee Peng
Other Authors: School of Electrical and Electronic Engineering
Format: Conference Paper
Language:English
Published: 2022
Subjects:
Online Access:https://hdl.handle.net/10356/161587
Description
Summary: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.