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arXiv · 2012.06878

Highly accurate closed-form approximation for the probability of detection of Weibull fluctuating targets in non-coherent detectors

Fernando Darío Almeida García·Andrea Carolina Flores Rodriguez·Gustavo Fraidenraich
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Abstract

In this paper, we derive a highly accurate approximation for the probability of detection (PD) of a non-coherent detector operating with Weibull fluctuation targets. To do so, we assume a pulse-to-pulse decorrelation during the coherent processing interval (CPI). Specifically, the proposed approximation is given in terms of: i) a closed-form expression derived in terms of the Fox's H-function, for which we also provide a portable and efficient MATHEMATICA routine; and ii) a fast converging series obtained through a comprehensive calculus of residues. Both solutions are fast and provide very accurate results. In particular, our series representation, besides being a more tractable solution, also exhibits impressive savings in computational load and computation time compared to previous studies. Numerical results and Monte-Carlo simulations corroborated the validity of our expressions.

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Fernando Darío Almeida García, Andrea Carolina Flores Rodriguez, Gustavo Fraidenraich. 2020-12-12. Highly accurate closed-form approximation for the probability of detection of Weibull fluctuating targets in non-coherent detectors. https://arxiv.org/abs/2012.06878

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