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arXiv · 1510.02996

Integral Approximations for Coverage Probability

Sudarshan Guruacharya·Hina Tabassum·Ekram Hossain
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Abstract

This letter gives approximations to an integral appearing in the formula for downlink coverage probability of a typical user in Poisson point process (PPP) based stochastic geometry frameworks of the form $\int_0^\infty \exp\{ - (Ax + B x^{α/2}) \} \ud x$. Four different approximations are studied. For systems that are interference-limited or noise-limited, conditions are identified when the approximations are valid. For intermediate cases, we recommend the use of Laplace approximation. Numerical results validate the accuracy of the approximations.

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Sudarshan Guruacharya, Hina Tabassum, Ekram Hossain. 2015-10-11. Integral Approximations for Coverage Probability. https://arxiv.org/abs/1510.02996

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