*Stochastic versus Ray Tracing Wireless Channel Modeling for 5G and V2X Applications… DOI: http://dx.doi.org/10.5772/intechopen.101625*

maximum difference of 23.9% is observed at a SNR of 30 dB where the capacities are 13.1 and 10.3 bps/Hz from the SCM and RT models, respectively.

To further improve the results obtained from the SCM model, a new simulation scheme is developed in which the number of the receiving MT is increased in MIMObit to six of different locations ranging from 3.16 m to 33.02 m away from the AP all at a height of 1.5 m as shown in **Figure 10**.

**Figure 11** reveals that at a constant SNR, changing the location of the receiving antenna does not have a significant impact on the MIMO channel capacity since each position is simulated 1000 times as the stochastic channel changes resulting in a maximum difference of 3.31% between any two Rx locations at SNR = 15 dB. Therefore, it is concluded that any Rx location within the geometry is valid for the comparison with the MIMO channel capacity generated from the RT tool.

Finally, we conclude that our results provide close agreement in the MIMO channel capacity between the SCM and the RT tools particularly at SNRs below 20 dB. The difference slightly increases at higher SNRs because the effect of MIMO is more prominent and. It should be emphasized that the observed 20% difference in results leads to a difference of only 3 bps/Hz which is accepted given that the SCM and RT are based on entirely different analytical formulations and numerical implementation. Due to space limitation, only one indoor model has been

**Figure 10.** *SCM indoor model with different Rx positions.*

**Figure 11.** *Indoor MIMO channel capacity for different Rx positions.*

considered in the RT and SCM channel models. We recommend that future research should include different indoor environments to be compared with different SCM models.
