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Introduction to Graph Signal Processing

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Vertex-Frequency Analysis of Graph Signals

Part of the book series: Signals and Communication Technology ((SCT))

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Abstract

Graph signal processing deals with signals whose domain, defined by a graph, is irregular. An overview of basic graph forms and definitions is presented first. Spectral analysis of graphs is discussed next. Some simple forms of processing signal on graphs, like filtering in the vertex and spectral domain, subsampling and interpolation, are given. Graph topologies are reviewed and analyzed as well. Theory is illustrated through examples, including few applications at the end of the chapter.

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Acknowledgements

Ervin Sejdić acknowledges the support of the NSF CAREER grant number 1652203.

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Authors and Affiliations

  1. University of Montenegro, Podgorica, Montenegro

    Ljubiša Stanković & Miloš Daković

  2. University of Pittsburg, Pittsburg, PA, USA

    Ervin Sejdić

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  1. Ljubiša Stanković
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  2. Miloš Daković
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  3. Ervin Sejdić
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Correspondence to Ljubiša Stanković .

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  1. Faculty of Electrical Engineering, University of Montenegro, Podgorica, Montenegro

    Ljubiša Stanković

  2. Department of Electrical and Computer Engineering, Swanson School of Engineering, University of Pittsburgh, Pittsburgh, PA, USA

    Ervin Sejdić

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Stanković, L., Daković, M., Sejdić, E. (2019). Introduction to Graph Signal Processing. In: Stanković, L., Sejdić, E. (eds) Vertex-Frequency Analysis of Graph Signals. Signals and Communication Technology. Springer, Cham. https://doi.org/10.1007/978-3-030-03574-7_1

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