Abstract:

Since analyzing spatial correlation between multiple antennas under 3D propagation scenarios is very difficult, a new approximate but high efficient calculation method based on the pulse sampling in the angle domain is proposed based on. Firstly, a new closed-form solution is derived, as well as an approximate expression for the spatial correlation coefficient under isotropic power angle spectrum, and then the arbitrary non-isotropic angle spectrum is expressed as a weighted summation of 2D uniform sampling pulses. On this basis, the spatial correlation under arbitrary 3D propagation scenarios can be equivalent to the weighted sum of the corresponding correlation of each sampling pulse. Simulation results based on the measured Von Mises Fisher distribution show that, when the sampling interval is less than 2°, time consumption of the proposed method is only about 10% of the one of the numerical integral method, and absolute error is less than 0.005, which can be applied on multiple antenna diversity system design, multi-input multi-output system performance evaluation and antenna array flow pattern optimization.