This report aims to provide gravitational waves data analysts with an introduction to the ideas and practice of the Pad\'e Filtering method for disentangling a signal from the noise. Technically it comes to the tracking of the zeros and singularities of random z-Transforms by noisy Pad\'e Approximants.
@article{arxiv.2412.08254,
title = {PAD\'E FILTERING, Principles and Use: an Introductory Report},
author = {Jean-Daniel Fournier and Mikhaël Pichot du Mézeray},
journal= {arXiv preprint arXiv:2412.08254},
year = {2024}
}