Validity of Kronecker and Weichselberger model at 3.805GHz Indoor measurement 4 by 4 MIMO system

Multi-Input Multi-Output (MIMO) communication systems have become the center of public attention as alternative idea to overcome limitation of Single-Input Single-Output (SISO) [1]. There are three kind of analytic model on correlation-based : i.i.d. model, kronecker model and weichselberger model. In i.i.d. model, all elements of MIMO channel are uncorrelated, and we only need to know the variance of the transmit signal. When the channel is correlated, the Kronecker model and Weichselberger model are widely used for channel analysis. The spatial Tx and Rx correlation are assumed to be separable in Kronecker model which enforces a separable DoD-DoA spectrum in contrast to Weichselberger model [2]. In this paper, we used simple 4 x 4 monopole array antenna and measured this antenna at LOS/NLOS position. We utilized characteristic of Kronecker model that Tx correlation should not be changed under the Kronecker assumption. As observing the change of Tx correlation following to antenna orientation, we can see the validity of Kronecker model a mile off. Also, Kronecker and Weichselberger model have application to calculate channel capacity [3, 4].