COST Hata model

The COST Hata model is a radio propagation model (i.e. path loss) that extends the urban Hata model (which in turn is based on the Okumura model) to cover a more elaborated range of frequencies (up to 2 GHz). It is the most often cited of the COST 231 models (EU funded research project ca. April 1986 – April 1996),[1] also called the Hata Model PCS Extension.[2]

COST (COopération européenne dans le domaine de la recherche Scientifique et Technique) is a European Union Forum for cooperative scientific research which has developed this model based on experimental measurements in multiple cities across Europe.

Applicable to / under conditions

This model is applicable to macro cells in urban areas. To further evaluate Path Loss in suburban or rural (quasi-)open areas, this path loss has to be substituted into Urban to Rural / Urban to Suburban Conversions. (Ray GAO, 09 Sep 2007)

Coverage

• Frequency: 1500–2000 MHz
• Mobile station antenna height: 1–10 m
• Base station antenna height: 30–200 m
• Link distance: 1–20 km

Mathematical formulation

The COST Hata model is formulated as,

${\displaystyle L_{b}=46.3+33.9\log _{10}{\frac {f}{\text{MHz}}}-13.82\log _{10}{\frac {h_{B}}{\text{m}}}-a(h_{R},f)+\left(44.9-6.55\log _{10}{\frac {h_{B}}{\text{m}}}\right)\log _{10}{\frac {d}{\text{km}}}+C_{m}}$

where,

${\displaystyle L_{b}}$	Median path loss. Unit: decibel (dB)
${\displaystyle f}$	Frequency of Transmission. Unit: megahertz (MHz)
${\displaystyle h_{B}}$	Base station antenna effective height. Unit: meter (m)
${\displaystyle d}$	Link distance. Unit: Kilometer (km)
${\displaystyle h_{R}}$	Mobile station antenna effective height. Unit: meter (m)
${\displaystyle a(h_{R},f)}$	Mobile station antenna height correction factor as described in the Hata model for urban areas. For suburban or rural environments this factor is defined as, ${\displaystyle a(h_{R},f)=\left(1.1\log _{10}{\frac {f}{\text{MHz}}}-0.7\right){\frac {h_{R}}{\text{m}}}-\left(1.56\log _{10}{\frac {f}{\text{MHz}}}-0.8\right)}$ and, for urban environments (i.e. large cities) as, ${\displaystyle a(h_{R},f)={\begin{cases}8.29(\log _{10}({1.54h_{R}}))^{2}-1.1&,{\text{if }}150\leq f\leq 200\\3.2\left(\log _{10}\left({11.75h_{R}}\right)\right)^{2}-4.97&,{\text{if }}200<f\leq 1500\end{cases}}}$
${\displaystyle C_{m}}$	Constant offset. Unit: decibel (dB). Defined as, ${\displaystyle C_{m}={\begin{cases}0\ dB\quad {\text{for medium cities and suburban areas}}\\3\ dB\quad {\text{for metropolitan areas}}\end{cases}}}$

Limitations

This model requires that the base station antenna is higher than all adjacent rooftops.

References

1. http://www.cost.eu/domains_actions/ict/Actions/231 COST (European Cooperation in Science and Technology) website
2. Final report for COST Action 231, Chapter 4

See also

• Hata model for urban areas
• Hata model for suburban areas
• Hata model for open areas
• Radio propagation model