A Comparison of Statistical and Geometric Models for the Dual Polarised MIMO Land Mobile Satellite Channel

We present the statistical analysis of the output from three timeseries generators of the dual polarised multiple input, multiple output (MIMO) land mobile satellite (LMS). The Liolis- CTTC model [1] is the baseline for statistical modelling for the dual polarised LMS channel, leading to the development of the Enhanced Statistical Model [2] which addresses a number of issues including eliminating the unwanted high frequency components associated with low-pass filtering to impose temporal correlation on the slow variations, the introduction of Doppler effects including Doppler shaping of the fast variations, the implementation of a smooth state transition process and also the introduction of an interpolation process to sample the channel at the required sub-symbol rate for transmission. The QuaDRiGa model [3] is a geometric, ray-tracing model and the product of the ESA's extensive measurement campaign of the dual polarised LMS channel. In this paper, the timeseries of each of the three models are compared and particular focus is given to the the statistical properties of each model's output.