Title :
Translation on Graphs: An Isometric Shift Operator
Author :
Girault, Benjamin ; Goncalves, Paulo ; Fleury, Eric
Author_Institution :
Lab. de l´Inf. du Parallelisme, Univ. de Lyon, Lyon, France
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.
Keywords :
graph theory; signal processing; graph signal processing; isometric shift operator; time shift properties; Eigenvalues and eigenfunctions; Fourier transforms; Laplace equations; Signal processing; Symmetric matrices; Time series analysis; Time-frequency analysis; Graph signal processing; graph translation;
Journal_Title :
Signal Processing Letters, IEEE
DOI :
10.1109/LSP.2015.2488279
