Causal association of Electromagnetic Signals using the Cayley Menger Determinant

TL;DR

This paper introduces a novel method using the Cayley-Menger determinant to determine if electromagnetic signals received by an antenna array originate from the same source, improving source localization accuracy.

Contribution

It presents a new algorithm leveraging the Cayley-Menger determinant and light-cone geodesic distances to accurately group signals from the same emission source.

Findings

The Cayley-Menger determinant is zero for signals from the same source.

The method effectively distinguishes signals from different sources in electromagnetic environments.

The algorithm improves source localization by correctly grouping received signals.

Abstract

In complex electromagnetic environments it can often be difficult to determine whether signals received by an antenna array emanated from the same source. The failure to appropriately assign signal reception events to the correct emission event makes accurate localisation of the signal source impossible. In this paper we show that as the received signal events must lie on the light-cone of the emission event the Cayley-Menger determinate calculated from using the light-cone geodesic distances between received signals must be zero. This result enables us to construct an algorithm for sorting received signals into groups corresponding to the same far-field emission.