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Towards a Definition of Local Stationarity for Graph Signals

Abstract : In this paper, we extend the recent definition of graph stationarity into a definition of local stationarity. Doing so, we present a metric to assess local stationarity using projections on localized atoms on the graph. Energy of these projections defines the local power spectrum of the signal. We use this local power spectrum to characterize local stationarity and identify sources of non-stationarity through differences of local power spectrum. Finally, we take advantage of the knowledge of the spectrum of the atoms to give a new power spectrum estimator.
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Submitted on : Tuesday, March 14, 2017 - 12:53:34 AM
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Benjamin Girault, Shrikanth S Narayanan, Antonio Ortega. Towards a Definition of Local Stationarity for Graph Signals. 2017 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), Mar 2017, New Orleans, United States. pp.4139-4143, ⟨10.1109/ICASSP.2017.7952935⟩. ⟨hal-01488882⟩



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