Time of Arrival Statistics in Cellular Environments

In this paper we study the temporal statistics of cellular mobile channel. We propose a scattering model that encloses scatterers in an elliptical scattering disc. We, further, employ this model to derive the probability density function (pdf) of time of arrival (ToA) of the multipath signal for picocell, microcell, and macrocell environments. For macrocell environment, we present generic closed-form formula for the pdf of ToA from which previous models can be easily deduced. Proposed theoretical results can be used to simulate temporal dispersion of the multipath signal in a variety of propagation conditions. The presented results help in the design of efficient equalizers to combat intersymbol interference (ISI) for wideband systems