Stochastic geometry analysis of the correlation between consecutive packet transmissions in WLAN

Abstract

Wireless local area networks (WLAN) has been in the spotlight as a potential solution to solve the exponentially growing demand of wireless services due to its wide availability and there have been a plenty of research works on WLAN including mathematical modeling and analysis. However, the spatial modeling and analysis of WLAN have received little attention due to the complexity in the dynamics of WLAN. In this paper, we provide spatial modeling and analysis based on stochastic geometry theory to investigate the impact of the spatial distribution on the performance of WLAN. Specifically, this paper is concerned with the correlation between consecutive packet transmissions. Throughout our analysis and simulation study we provide the conditions where the independence assumption on individual transmission results holds, which is widely assumed in most of the previous works on WLAN.