On the Graph Construction of Signal De-Noising Method Using Laplacian Matrix

Chien‐Cheng Tseng, Su‐Ling Lee · 2020

In this paper, the graph construction of signal denoising method using Laplacian matrix is investigated. First, the four-step procedure to obtain a graph signal representation is described. Then, the details of graph signal de-noising method using Laplacain matrix are presented. Next, four kinds of graph constructions with different connectivities are studied including Hamiltonian cycle, spanning tree, Delaunay triangle and complete graph. Finally, the real temperature data is used to evaluate the performance of the graph signal de-noising method and to show which graph construction is a better choice according to the value of signal to noise ratio (SNR).

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