# COST 231 Walfisch-Ikegami Model

This is an empirical model as described in COST 231 (extended Walfisch-Ikegami-model) which takes into account several parameters out of the vertical building profile for the path loss prediction.

This model features a very short computation time. The accuracy is tolerable, but it does not reach the one of deterministic ray optical models. This model does not consider wave-guiding effects which occur for example in street canyons. However, if the dominant propagation mechanism is the over rooftop propagation the results are far accurate as the empirical formulas approximate the multiple diffractions over the rooftops of the buildings. Therefore this model is well suited for transmitters located above the medium rooftop level, while the accuracy for transmitters below the medium rooftop level is limited.

However, their prediction accuracy is limited due to the fact that only a small number of parameters is taken into account and the influence of the distance from the transmitter is over-emphasized. Additionally, wave guiding effects in streets cannot be considered with an empirical approach. The empirical model implemented in ProMan was developed in the course of the European COST 231 project by a combination of the Walfisch and Ikegami models.

## Computation

The model allows for improved path loss estimation by consideration of more data to describe the character of the urban environment, namely:
• height of transmitter ${h}_{tx}$
• height of receiver ${h}_{rx}$
• mean value of building heights ${h}_{roof}$
• mean value of widths of roads $w$
• mean value of building separation $b$
The model has also been accepted by the ITU-R and is included in report 567-4. The estimation of path loss agrees rather well with measurements for base station antenna heights above rooftop level. The mean error is in the range of 3 dB and the standard deviation 4-8 dB. However, the prediction error becomes larger for ${h}_{tx}$ close to ${h}_{roof}$ compared to situations where ${h}_{tx}\gg {h}_{roof}$ . Furthermore the performance of the model is poor for ${h}_{tx}\ll {h}_{roof}$ . The parameters $b$ and $w$ are not considered in a physically meaningful way for micro cells. Therefore, the prediction error for micro cells may be quite large. The model does not consider multipath propagation and as a result wave guiding effects as occurring for example in street canyons are not taken into account. But in situations where the propagation over the rooftops is dominant the model leads to good results.