Vertex-Frequency Analysis of Graph Signals by Ljubiša Stanković & Ervin Sejdić

Author:Ljubiša Stanković & Ervin Sejdić
Language: eng
Format: epub
ISBN: 9783030035747
Publisher: Springer International Publishing

1.2 Basic Concepts

1.2.1 Graph Laplacian and Graph Fourier Analysis

An undirected graph is denoted as , where denotes a set of N vertices and denotes the edge set. If one real number is associated with each vertex, these numbers of all the vertices are collectively referred as a graph signal. A graph signal can also be regarded as a mapping .

The graph Laplacian is extensively exploited in spectral graph theory [9] and signal processing on graphs [1]. For an undirected graph , its Laplacian is

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