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arXiv · 1510.05557

Saddle Point Approximation for Outage Probability Using Cumulant Generating Functions

Sudarshan Guruacharya·Hina Tabassum·Ekram Hossain
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Abstract

This letter proposes the use of saddle point approximation (SPA) to evaluate the outage probability of wireless cellular networks. Unlike traditional numerical integration-based approaches, the SPA approach relies on cumulant generating functions (CGFs) and eliminates the need for explicit numerical integration. The approach is generic and can be applied to a wide variety of distributions, given that their CGFs exist. We illustrate the usefulness of SPA on channel fading distributions such as Nakagami-$m$, Nakagami-$q$ (Hoyt), and Rician distributions. Numerical results validate the accuracy of the proposed SPA approach.

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Sudarshan Guruacharya, Hina Tabassum, Ekram Hossain. 2015-10-19. Saddle Point Approximation for Outage Probability Using Cumulant Generating Functions. https://doi.org/10.1109/lwc.2016.2516543

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