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Conference Papers Year : 2015

Stationary Graph Signals using an Isometric Graph Translation

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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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Comment : Weather report dataset used in Section 4.2
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Origin : Files produced by the author(s)
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Dates and versions

hal-01155902 , version 1 (04-09-2015)

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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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