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Integral Approximations for Coverage Probability

Information Theory 2015-10-13 v1 math.IT

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 0exp{(Ax+Bxα/2)}\udx\int_0^\infty \exp\{ - (Ax + B x^{\alpha/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.

Keywords

Cite

@article{arxiv.1510.02996,
  title  = {Integral Approximations for Coverage Probability},
  author = {Sudarshan Guruacharya and Hina Tabassum and Ekram Hossain},
  journal= {arXiv preprint arXiv:1510.02996},
  year   = {2015}
}
R2 v1 2026-06-22T11:17:27.351Z