English

Saddle Point Approximation for Outage Probability Using Cumulant Generating Functions

Information Theory 2016-11-17 v1 math.IT

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-mm, Nakagami-qq (Hoyt), and Rician distributions. Numerical results validate the accuracy of the proposed SPA approach.

Keywords

Cite

@article{arxiv.1510.05557,
  title  = {Saddle Point Approximation for Outage Probability Using Cumulant Generating Functions},
  author = {Sudarshan Guruacharya and Hina Tabassum and Ekram Hossain},
  journal= {arXiv preprint arXiv:1510.05557},
  year   = {2016}
}

Comments

4 pages, 4 figures, submitted to IEEE Wireless Communications Letters

R2 v1 2026-06-22T11:23:48.364Z