Receiver-Surface Hit Patterns via Legendre Approximation for Molecular Signal Detection

Abstract:Detecting whether a transmitter is actively communicating with a receiver is a fundamental problem in molecular communications. A spherical receiver may measure not only the number and arrival times of absorbed molecules, but also their absorption locations on the receiver surface. These locations contain a directional signature that is lost in count-only detection. In this letter, we develop a molecular signal detector based on a Legendre polynomial expansion of the receiver-surface hit density and extend it to a Legendre-based Viterbi sequence detector. By exploiting the surface-level directional signature of molecular arrivals, the proposed detectors provide geometry-aware, efficient, and better-performing alternatives to count-only detection.

Information Theory (cs.IT); Machine Learning (cs.LG)

arXiv:2609.12089 [cs.IT]

(or arXiv:2609.12089v1 [cs.IT] for this version)

https://doi.org/10.48550/arXiv.2609.12089 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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