English

What's in a frequency: new tools for graph Fourier Transform visualization

Signal Processing 2019-03-22 v1

Abstract

Recent progress in graph signal processing (GSP) has addressed a number of problems, including sampling and filtering. Proposed methods have focused on generic graphs and defined signals with certain characteristics, e.g., bandlimited signals, based on t he graph Fourier transform (GFT). However, the effect of GFT properties (e.g., vertex localization) on the behavior of such methods is not as well understood. In this paper, we propose novel GFT visualization tools and provide some examples to illustrate certain GFT properties and their impact on sampling or wavelet transforms.

Keywords

Cite

@article{arxiv.1903.08827,
  title  = {What's in a frequency: new tools for graph Fourier Transform visualization},
  author = {Benjamin Girault and Antonio Ortega},
  journal= {arXiv preprint arXiv:1903.08827},
  year   = {2019}
}

Comments

Paper presented at 2019 Information Theory and Applications Workshop

R2 v1 2026-06-23T08:14:37.843Z