Stationary Graph Signals using an Isometric Graph Translation

Benjamin Girault 1, 2, *
* Corresponding author
2 DANTE - Dynamic Networks : Temporal and Structural Capture Approach
Inria Grenoble - Rhône-Alpes, LIP - Laboratoire de l'Informatique du Parallélisme, IXXI - Institut Rhône-Alpin des systèmes complexes
Abstract : In this communication, we extend the concept of stationary temporal signals to stationary graph signals. We introduce the concept of strict sense stationary and wide sense stationary graph signals as a statistical invariance through an isometric graph translation. Using these definitions, we propose a spectral characterisation of WSS graph signals allowing to study stationarity using only the spectral components of a graph signal. Finally, we apply this characterisation a synthetic graph in order to study a few important stochastic graph signals. Also, using geographic data, we study weather readings on the graph of weather stations and show evidence of stationarity in the temperature readings.
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Benjamin Girault. Stationary Graph Signals using an Isometric Graph Translation. 23rd European Signal Processing Conference (EUSIPCO), Aug 2015, Nice, France. pp.1531-1535, ⟨10.1109/EUSIPCO.2015.7362637⟩. ⟨hal-01155902⟩

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