Extended Hata Model

The Okumura-Hata model was extended to the frequency bands from 30 MHz to 3000 MHz1. This combination is denoted as the “Extended Hata model”.

Activate the extended Hata model on the Parameters of Okumura Hata dialog, under Frequency, select the Use extended Hata model (covers the frequency range 30 MHz - 3 GHz) check box (see Figure 2).

Urban

30 MHz < f ≤ 150 MHz:

(1) L=69.6+26.2log(150)−20log( 150 f )−13.82log( max{ 30, H b } )     +[ 44.9−6.55log( max{ 30, H b } ) ]log ( d ) α −a( H m )−b( H b )

150 MHz < f ≤ 1500 MHz:

(2) L=69.6+26.2log(f)−13.82log( max{ 30, H b } )     +[ 44.9−6.55log( max{ 30, H b } ) ]log ( d ) α −a( H m )−b( H b )

1500 MHz < f ≤ 2000 MHz:

(3) L=46.3+33.9log(f)−13.82log( max{ 30, H b } )     +[ 44.9−6.55log( max{ 30, H b } ) ]log ( d ) α −a( H m )−b( H b )

2000 MHz < f ≤ 3000 MHz:

(4) L=46.3+33.9log(2000)+10log( f 2000 )−13.82log( max{ 30, H b } )     +[ 44.9−6.55log( max{ 30, H b } ) ]log ( d ) α −a( H m )−b( H b )

Suburban

(5) L=L(urban)−2 { log[ min{ max{ 150,f },2000 } 28 ] } 2 −5.4

Open Area

(6) L=L(urban)−4.78l { log[ min{ max{ 150,f },2000 } ] } 2 +18.33log[ min{ max{ 150,f },2000 } ]−40.94

Where,
  • L = path loss (dB)
  • f = frequency (MHz)
  • Hb = transmitter antenna height above ground (m)
  • Hm = receiver antenna height above ground (m)
  • d = distance between transmitter and receiver (km)
  • a(Hm), b(Hb) = antenna height correction factors, defined as follows:
(7) a( H m )=( 1.1log(f)−0.7 )min{ 10, H m }−(1.56log(f)−0.8)+max{ 0, 20log( H m 10 ) } b( H b )=min{ 0, 20log( H b 30 ) }
The exponent α is a distance correction factor for distances > 20 km, defined as follows:
(8) α={ 1 for d ≤ 20 km 1+( 0.14+1.87× 10 −4 f+1.07× 10 −3 H b ) ( log d 20 ) 0.8 for 20 km < d ≤ 100 km
with the following model restrictions:
  • f: 30MHz to 3000 MHz
  • Hb: 30m to 200 m
  • Hm: 1 m to 10 m
  • d: 0.1 km to 100 km, but in practice, it is recommended to use it up to 40 km.
1 Report ITU-R SM.2028-2 “Monte Carlo simulation methodology for the use in sharing and compatibility studies between different radio services or systems”, section 6.1, published June 2017.