A Fokker-Planck equation and percolation theory based relay node for I-UWB networks

In this paper, a novel approach to defining signal propagation through a relay node in a three-node, indoor impulse-ultra-wideband (I-UWB) system is described. The approach described herein uses stochastic and statistical methods for signal recognition and relay to increase the I-UWB system range, data transmission rates and quality. In the three-node I-UWB system model presented here, IR2 is defined as a relay node. Through the stochastic techniques of the Fokker-Planck equation and percolation theory using a Cayley tree, we are able to model a relay node that processes very fast with a high degree of accuracy. Such a system of relay nodes could be deployed to extend a UWB network range indefinitely.