Abstract
In this chapter, the most fundamental ideas of graph signal processing (GSP) are presented. We intend to provide the reader with the basic GSP tools, presenting the relevant knowledge for the development of this subject and pointing out its interfaces with correlated research areas. Throughout our text, we discuss strategies for modeling network structures through graphs and address the peculiarities of the main operations applicable to graph signals, namely shift operators, Fourier transform, filtering, sampling, and interpolation. We also give examples of practical scenarios where GSP tools have been successfully applied and provide a short history regarding the development of this theme over the years.
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