Spatial multiplexing capacity analysis for three-dimensional wireless personal area networks

In this paper, we propose a transmission model which considers the characteristics of rate adaptive Ultra-wide band (UWB) wireless communication technologies. Based on the model, we study the spatial multiplexing capacity of UWB- based wireless personal area networks (WPANs). Furthermore, since wireless communication is in three dimensional (3D) space, we derive the expected network throughput of a 3D WPAN, as a function of the number of flows sharing the space and other system parameters, e.g., path loss exponent, background noise, etc. The analytical results are useful to determine how to maximize the spatial multiplexing capacity of a 3D wireless network by appropriately scheduling concurrent transmissions. Extensive simulation results are given to validate the accuracy of the analysis. Our approach can also be extended to quantify the spatial multiplexing gain in other wireless networks.