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On the Degrees of Freedom of Signals on Graphs
Mikhail Tsitsvero, Sergio Barbarossa
Continuous-time signals are well known for not being perfectly localized in both time and frequency domains. Conversely, a signal defined over the vertices of a graph can be perfec…
Uncertainty Principle and Sampling of Signals Defined on Graphs
Mikhail Tsitsvero, Sergio Barbarossa, Paolo Di Lorenzo
In many applications, from sensor to social networks, gene regulatory networks or big data, observations can be represented as a signal defined over the vertices of a graph. Buildi…
Eigenfunctions of Underspread Linear Communication Systems
Sergio Barbarossa, Mikhail Tsitsvero
In this paper we show that the eigenfunctions can be found exactly for systems whose delay-Doppler spread function is concentrated along a straight line and they can be found in ap…
Signals on Graphs: Uncertainty Principle and Sampling
Mikhail Tsitsvero, Sergio Barbarossa, Paolo Di Lorenzo
In many applications, the observations can be represented as a signal defined over the vertices of a graph. The analysis of such signals requires the extension of standard signal p…