Translation et stationnarité pour les signaux sur graphe
Benjamin Girault, Paulo Gonçalvés, Éric Fleury · HAL (Le Centre pour la Communication Scientifique Directe) · 2015
We propose a novel time shift like operator called the graph translation. We enforce that it is isometric and define it such that it shares with the time shift operator its key properties. Using the graph translation operator and its isometry, we propose a tractable definition of stationary graph signals and characterise stationary graph signals using their spectral properties. We illustrate this characterisation on synthetic stationary random graph signals. Finally we propose a method to test the stationarity of a real dataset.