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,

[math]\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 }[/math]

where,

[math]\displaystyle{ L_b }[/math]	Median path loss. Unit: decibel (dB)
[math]\displaystyle{ f }[/math]	Frequency of Transmission. Unit: megahertz (MHz)
[math]\displaystyle{ h_B }[/math]	Base station antenna effective height. Unit: meter (m)
[math]\displaystyle{ d }[/math]	Link distance. Unit: Kilometer (km)
[math]\displaystyle{ h_R }[/math]	Mobile station antenna effective height. Unit: meter (m)
[math]\displaystyle{ a(h_R, f) }[/math]	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, [math]\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) }[/math] and, for urban environments (i.e. large cities) as, [math]\displaystyle{ a(h_R,f) = \begin{cases}8.29 (\log_{10} ({1.54 h_R}))^2 - 1.1 &,\text{if } 150 \le f \le 200 \\ 3.2 \left( \log_{10} \left( {11.75 h_R} \right) \right)^2 - 4.97 &,\text{if } 200 \lt f \le 1500\end{cases} }[/math]
[math]\displaystyle{ C_m }[/math]	Constant offset. Unit: decibel (dB). Defined as, [math]\displaystyle{ C_m = \begin{cases} 0\ dB \quad \text{for medium cities and suburban areas} \\ 3\ dB \quad \text{for metropolitan areas} \end{cases} }[/math]

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