Recent Advances in Signal Processing on Graphs

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  • TANAKA Yuichi
    Graduate School of BASE, Tokyo University of Agriculture and Technology

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Other Title
  • グラフ信号処理のすゝめ

Abstract

Classical signal processing focuses on extracting frequency characteristics of time or spatial-domain data. For example, Fourier transform can be defined as the inner product of the signal and eigenfunctions of the one-dimensional Laplacian operator. Graph signal is defined as discrete signal located on vertices of a graph. Analogous to classical signal processing, graph Fourier transform is defined as the inner product of the graph signal and eigenfunctions of graph Laplacian matrix. In this paper, we describe fundamentals and recent advances of graph signal processing, which include; graph Fourier/wavelet transforms, filtering/sampling of graph signal, theoretical progress, and applications of graph signal processing.

Journal

  • IEICE ESS Fundamentals Review

    IEICE ESS Fundamentals Review 8 (1), 15-29, 2014

    The Institute of Electronics, Information and Communication Engineers

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