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

arXiv · AI, language, vision and robotics · article · Sep 10, 2026 · UTC

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 direct

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First collected: 2026-09-20T18:42:18.733Z. This is not the publication date.