Detection of Point Sources in Cosmic Ray Maps using the Mexican Hat Wavelet Family

TL;DR

This paper evaluates the effectiveness of Gaussian and Mexican Hat wavelet filters in detecting faint ultra-high energy cosmic ray point sources embedded in background noise through simulation.

Contribution

It introduces a comparative analysis of wavelet filters' sensitivity for cosmic ray point source detection, focusing on faint sources with low event counts.

Findings

Mexican Hat wavelet filters show high sensitivity in detecting faint sources.

Detection capability varies with source amplitude and event number.

Wavelet methods outperform traditional detection techniques.

Abstract

An analysis of the sensitivity of gaussian and mexican hat wavelet family filters to the detection of point sources of ultra-high energy cosmic rays was performed. A source embedded in a background was simulated and the number of events and amplitude of this source was varied aiming to check the sensitivity of the method to detect faint sources with low statistic of events.