Spatial modelling and analysis of WLAN with poisson point process

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 work we tackle this issue and provide a spatial modeling and analysis based on Poisson point process to investigate the impact of the spatial distribution on the performance of WLAN. Through our spatial modeling and analysis we verify the conditions where the independence assumption on successful transmissions of data packets holds, which is most widely assumed in most of the previous works on WLAN.