PROJECT TITLE :
Spectral Domain Sampling of Graph Signals - 2018
Sampling ways for graph signals within the graph spectral domain are presented. Though the standard sampling of graph signals will be considered sampling in the graph vertex domain, it will not have the desired characteristics in regard to the graph spectral domain. With the proposed methods, the down- and upsampled graph signals inherit the frequency-domain characteristics of the sampled signals outlined within the time/spatial domain. The properties of the sampling effects were evaluated theoretically as compared with those obtained with the traditional sampling methodology in the vertex domain. Various samples of signals on simple graphs enable precise understanding of the problem thought-about. Fractional sampling and Laplacian pyramid representation of graph signals are potential applications of those methods.
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