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Sampling low-spectrum signals on graphs via cluster-concentrated modes: examples (2110.15523v1)
Published 29 Oct 2021 in math.SP, cs.IT, and math.IT
Abstract: We establish frame inequalities for signals in Paley--Wiener spaces on two specific families of graphs consisting of combinations of cubes and cycles. The frame elements are localizations to cubes, regarded as clusters in the graphs, of vertex functions that are eigenvectors of certain spatio--spectral limiting operators on graph signals.