Physics: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), also called the Hata Model PCS Extension.

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,

$L_b=46.3+33.9{\log }_{10}\frac{f}{\text{MHz}}-13.82{\log }_{10}\frac{h_B}{\text{m}}-a(h_R,f)+(44.9-6.55{\log }_{10}\frac{h_B}{\text{m}}){\log }_{10}\frac{d}{\text{km}}+C_m$

where,

$L_b$	Median path loss. Unit: decibel (dB)
$f$	Frequency of Transmission. Unit: megahertz (MHz)
$h_B$	Base station antenna effective height. Unit: meter (m)
$d$	Link distance. Unit: Kilometer (km)
$h_R$	Mobile station antenna effective height. Unit: meter (m)
$a(h_R,f)$	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, $a(h_R,f)=(1.1{\log }_{10}\frac{f}{\text{MHz}}-0.7)\frac{h_R}{\text{m}}-(1.56{\log }_{10}\frac{f}{\text{MHz}}-0.8)$ and, for urban environments (i.e. large cities) as, $a(h_R,f)=\{\begin{array}{ll}8.29({\log }_{10}(1.54h_R){)}^2-1.1& ,\text{if }150\le f\le 200\\ 3.2{\left({\log }_{10}\left(11.75h_R\right)\right)}^2-4.97& ,\text{if }200<f\le 1500\end{array}$
$C_m$	Constant offset. Unit: decibel (dB). Defined as, $C_m=\{\begin{array}{l}0dB\text{for medium cities and suburban areas}\\ 3dB\text{for metropolitan areas}\end{array}$

Limitations

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

See also

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