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Causal association of electromagnetic signals using the Cayley-Menger determinant

Drake, Samuel Picton; Anderson, Brian D.O.; Yu, Changbin

Authors

Samuel Picton Drake

Brian D.O. Anderson

Changbin Yu



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 localization 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.

Citation

Drake, S. P., Anderson, B. D., & Yu, C. (2009). Causal association of electromagnetic signals using the Cayley-Menger determinant. Applied Physics Letters, 95(3), Article 034106. https://doi.org/10.1063/1.3180815

Journal Article Type Article
Publication Date Jul 20, 2009
Deposit Date Nov 24, 2011
Journal Applied Physics Letters
Print ISSN 0003-6951
Electronic ISSN 1077-3118
Publisher American Institute of Physics
Peer Reviewed Peer Reviewed
Volume 95
Issue 3
Article Number 034106
DOI https://doi.org/10.1063/1.3180815

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