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COST Hata model

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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. This model is the combination of empirical and deterministic models for estimating path loss in an urban area over frequency range of 800 MHz to 2000 MHz.

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

Mathematical formulation

The COST Hata model is formulated as,

L b = 46.3 + 33.9 log 10 ⁡ f MHz − 13.82 log 10 ⁡ h B m − a ( h R , f ) + ( 44.9 − 6.55 log 10 ⁡ h B m ) log 10 ⁡ d km + C m {\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,

L b {\displaystyle L_{b}} Median path loss. Unit: decibel (dB)
f {\displaystyle f} Frequency of Transmission. Unit: megahertz (MHz)
h B {\displaystyle h_{B}} Base station antenna effective height. Unit: meter (m)
d {\displaystyle d} Link distance. Unit: Kilometer (km)
h R {\displaystyle h_{R}} Mobile station antenna effective height. Unit: meter (m)
a ( h R , f ) {\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,

a ( h R , f ) = ( 1.1 log 10 ⁡ f MHz − 0.7 ) h R m − ( 1.56 log 10 ⁡ f MHz − 0.8 ) {\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,

a ( h R , f ) = { 8.29 ( log 10 ⁡ ( 1.54 h R ) ) 2 − 1.1 , if  150 ≤ f ≤ 200 3.2 ( log 10 ⁡ ( 11.75 h R ) ) 2 − 4.97 , if  200 < f ≤ 1500 {\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}}}

C m {\displaystyle C_{m}} Constant offset. Unit: decibel (dB). Defined as,

C m = { 0   d B for medium cities and suburban areas 3   d B for metropolitan areas {\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.

See also

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
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