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...
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Topics: 
Algorithm
Theoretical computer science