A Three-Dimensional Wideband Propagation Model for the Study of Base Station Antenna Arrays with Application to LMCS

|A model is proposed herein to simulate wideband correlated diversity channel from the point of view of the base station. It is assumed that scattering activity is limited to a local area around the subscriber and possibly additional secondary scattering areas, each being of local extent. Simulation is possible by generating correlated random variates obeying a complex gaussian law to represent an instance of the impulse response at each antenna element. A mathematical de nition of the correlation existing between discrete channel coe cients is provided as a function of separation in space (lag) and separation in frequency. Thus, the channel correlation between antenna elements is caracterized by a lag-frequency correlation function in a three-dimensional (cylinder of scatterers) propagation scenario. The mathematical formulation incorporates the e ect of arbitrary antenna patterns at the base and at the subscriber station. Simulation proceeds by dividing the band of interest into a number of frequency bins (each smaller than the coherence bandwidth) leading to the construction of a discrete lagfrequency matrix of channel coe cients. Since the model is not concerned with temporal channel variations, it is appropriate for Monte-Carlo simulations for calculations such as outage probability, system capacity, etc.