This letter gives approximations to an integral appearing in the formula fordownlink coverage probability of a typical user in Poisson point process (PPP)based stochastic geometry frameworks of the form $\int_0^\infty \exp\{ - (Ax +B x^{\alpha/2}) \} \ud x$. Four different approximations are studied. Forsystems that are interference-limited or noise-limited, conditions areidentified when the approximations are valid. For intermediate cases, werecommend the use of Laplace approximation. Numerical results validate theaccuracy of the approximations.
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机译：该字母近似表示在基于泊松点过程（PPP）的形式为\\ int_0 ^ \ infty \ exp \ {-（Ax + B x ^ { \ alpha / 2}）\} \ ud x $。研究了四个不同的近似值。对于受干扰限制或噪声限制的系统，当逼近有效时将确定条件。对于中间情况，建议使用拉普拉斯近似。数值结果验证了近似值的准确性。
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