@inbook{b194404c2df44336a8b98cff0beae799,
title = "Signal processing on weighted line graphs",
abstract = "This chapter describes a signal processing framework for signals that are represented, or indexed, by weighted line graphs, which are a generalization of directed line graphs used for representation of time signals in classical signal processing theory. The presented framework is based on the theory of discrete signal processing on graphs and on algebraic signal processing theory. It defines fundamental signal processing concepts, such as signals and filters, z-transform, frequency and spectrum, Fourier transform and others, in a principled way. The framework also illustrates a strong connection between signal processing on weighted line graphs and signal representation based on orthogonal polynomials.",
keywords = "Algebraic signal processing, Graph filter, Graph fourier transform, Graph frequency, Orthogonal polynomials, Signal processing on graphs",
author = "Aliaksei Sandryhaila and Jelena Kova{\v c}evi{\'c}",
note = "Publisher Copyright: {\textcopyright} Springer International Publishing Switzerland 2015.",
year = "2015",
doi = "10.1007/978-3-319-20188-7_10",
language = "English (US)",
series = "Applied and Numerical Harmonic Analysis",
publisher = "Springer International Publishing",
number = "9783319201870",
pages = "245--259",
booktitle = "Applied and Numerical Harmonic Analysis",
edition = "9783319201870",
}