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

@article{Girault2019WhatsIA, title={What's in a frequency: new tools for graph Fourier Transform visualization}, author={Benjamin Girault and Antonio Ortega}, journal={arXiv: Signal Processing}, year={2019} }

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…

## 3 Citations

### Sampling on Graphs: From Theory to Applications

- Computer ScienceArXiv
- 2020

Current progress on sampling over graphs focusing on theory and potential applications is reviewed, including similarities and differences between standard and graph sampling and open problems and challenges.

### Sampling Signals on Graphs: From Theory to Applications

- MathematicsIEEE Signal Processing Magazine
- 2020

The study of sampling signals on graphs with the goal of building an analog of sampling for standard signals in the time and spatial domains is reviewed, focusing on theory and potential applications.

### Natural Graph Wavelet Packet Dictionaries

- Computer ScienceArXiv
- 2020

We introduce a set of novel multiscale basis transforms for signals on graphs that utilize their "dual" domains by incorporating the "natural" distances between graph Laplacian eigenvectors, rather…

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