Abstract

This paper focuses on the harmonic analysis of graph signals that evolve with time. Our goal is to generalize and, in fact, unify the familiar concepts from time- and graph-frequency analysis. To this end, we study the properties of a joint time and graph Fourier transform (JFT) and the associated notion of variation. We build on our results to create filters which act on the joint (time and graph) frequency domain, and provide an example of how joint filters can improve signal recovery on time-varying graph signals with non-separable temporal and graph frequency structure.

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