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Conference papers
Stationary Graph Signals using an Isometric Graph Translation
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.
Keywords :
Signal processing on graphs
Stationary signals
Cited literature [9 references]
https://hal.inria.fr/hal-01155902
Contributor : Benjamin Girault Connect in order to contact the contributor
Submitted on : Friday, September 4, 2015 - 11:24:14 AM
Last modification on : Thursday, January 20, 2022 - 5:31:10 PM
Long-term archiving on: : Saturday, December 5, 2015 - 12:23:21 PM
Contributor : Benjamin Girault Connect in order to contact the contributor
Submitted on : Friday, September 4, 2015 - 11:24:14 AM
Last modification on : Thursday, January 20, 2022 - 5:31:10 PM
Long-term archiving on: : Saturday, December 5, 2015 - 12:23:21 PM