Translation on Graphs: An Isometric Shift Operator

Benjamin Girault 1, 2, * Paulo Gonçalves 1, 2 Eric Fleury 1, 2
* Corresponding author
1 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 letter, we propose a new shift operator for graph signals, enforcing that our operator is isometric. Doing so, we ensure that as many properties of the time shift as possible get carried over. Finally, we show that our operator behaves reasonably for graph signals.
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Benjamin Girault, Paulo Gonçalves, Eric Fleury. Translation on Graphs: An Isometric Shift Operator. IEEE Signal Processing Letters, Institute of Electrical and Electronics Engineers, 2015, 22 (12), pp.2416 - 2420. ⟨10.1109/LSP.2015.2488279⟩. ⟨hal-01221562⟩

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