The IEEE 802.15.3a UWB Channel Model as a Two-Dimensional Augmented Cluster Process

The IEEE 802.15.3a standards body has developed a modification of the Saleh–Valenzuela (SV) multipath channel model as the accepted channel model for ultra-wideband (UWB) investigations. The SV model is a well-defined simulation model that is straightforward to implement. However, since the model as specified is not directly amenable to theoretical analysis, it is constructed here as a two-dimensional “augmented cluster point process” that is composed of three statistically independent components that can be separately analyzed. For the IEEE 802.15.3a model, general formulas are derived for means, variances, and covariances of important channel quantities. In particular, closedform expressions in terms of the channel parameters are found in the following cases: the number of multipath arrivals, the number of detectable multipath arrivals, the sum of path gains, the sum of squares of path gains, and the received multipath waveform. In addition, closed-form expressions are found for the power-delay profile and the detectable-path profile.