PAD\'E FILTERING, Principles and Use: an Introductory Report

TL;DR

This paper introduces the Padé Filtering method for gravitational wave data analysis, focusing on separating signals from noise by tracking zeros and singularities of noisy z-Transforms.

Contribution

It provides an introductory overview of Padé Filtering principles and practical application in gravitational wave signal processing.

Findings

Demonstrates effectiveness of Padé Filtering in noise disentanglement

Provides methodological insights for gravitational wave data analysts

Highlights the tracking of zeros and singularities as key technique

Abstract

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.