The terminal designationsAnchor A17.98.2 A17.98.2
...
The value of h1 to be used in calculation should be obtained using the method given in § 3.1, 3.2 or in § 3.3 of P1546-4 as appropriate.
Land paths shorter than 15 km
For land paths less than 15 km, the following method is used:
Terrain information not available
...
m for d <= 3 km (Eq. 241232)
m for 3 km < d < 15 km
...
m (Eq. 242233)
Transmitting/base antenna height, h1, in the range 10 m to 3 000 m
If the value of h1 coincides with one of the eight heights for which curves are provided, namely 10, 20, 37.5, 75, 150, 300, 600 or 1 200 m, the required field strength may be obtained directly from the plotted curves or the associated tabulations. Otherwise the required field strength should be interpolated or extrapolated from field strengths obtained from two curves using:
dB(μV/m) (Eq. 243234)
where:
hinf : 600 m if h1 > 1200 m, otherwise the nearest nominal effective height below h1
...
Esup : field-strength value for hsup at the required distance.
The field strength resulting from extrapolation for h1 > 1200 m should be limited if necessary such that it does not exceed the maximum defined in § 2 of Recommendation ITU-R P.1546-4.
This model is not valid for h1 > 3000 m.
Transmitting/base antenna height, h1 h1, in the range 0 m to 10 m
For a land path, the field strength at the required distance d km for 0 h1 £ h1 < 10 m is calculated using:
| Mathinline | ||
|---|---|---|
|
| Mathinline | ||
|---|---|---|
|
where:
| Mathinline | ||
|---|---|---|
|
...
Ch1neg10: the correction Ch1 in dB calculated using equation (12) in § 4.3 of ITU-R P.1546-4 at the required distance for h1 = 10 m
E10 and E20 : the field strengths in dB(V/m) calculated according to § 4.1 of ITU-R P.1546-4 at the required distance for h1 = 10 m and h1 = 20 m respectively..
Note that the corrections C1020 and Ch1neg10 should both evaluate to negative quantities.
Transmitting/base antenna height, h1, in the range 0 m to 10 m
For a land path, the field strength at the required distance d km for 0 £ h1 < 10 m is calculated using:
Interpolation of field strength as a function of distance
Figures 1 to 24 of Recommendation ITU-R P.1546-4 show field strength plotted against distance, d, the range 1 km to 1 000 km. No interpolation for distance is needed if field strengths are read directly from these graphs. For greater precision, and for computer implementation, field strengths should be obtained from the associated tabulations (see Annex 1 of ITU-R P.1546-4, § 3). In this case, unless d coincides with one of the tabulation distances given in Table 1, the field strength, E (dB(mV/m)), should be linearly interpolated for the logarithm of the distance using:
dB(μV/m) (Eq. 244)
where:
d : distance for which the prediction is required
dinf : nearest tabulation distance less than d
dsup : nearest tabulation distance greater than d
Einf : field-strength value for dinf
Esup : field-strength value for dsup.
This model is not valid for values of d less than 1 km or greater than 1 000 km.
Interpolation and extrapolation of field strength as a function of frequency
Field-strength values for the required frequency should be obtained by interpolating between the values for the nominal frequency values of 100, 600 and 2000 MHz. In the case of frequencies below 100 MHz or above 2 000 MHz, the interpolation must be replaced by an extrapolation from the two nearer nominal frequency values. For most paths interpolation or extrapolation for log (frequency) can be used, but for some sea paths when the required frequency is less than 100 MHz it is necessary to use an alternative method.
For land paths, and for sea paths where the required frequency is greater than 100 MHz, the required field strength, E, should be calculated using:
dB(μV/m) (Eq. 243)
where:
f : frequency for which the prediction is required (MHz)
finf : lower nominal frequency (100 MHz if f < 600 MHz, 600 MHz otherwise)
fsup : higher nominal frequency (600 MHz if f < 600 MHz, 2 000 MHz otherwise)
Einf : field-strength value for finf
Esup : field-strength value for fsup.
The field strength resulting from extrapolation for frequency above 2 000 MHz should be limited if necessary such that it does not exceed the maximum value given in § 2 of Recommendation ITU-R P.1546-4.
For sea paths where the required frequency is less than 100 MHz an alternative method should be used, based upon the path lengths at which 0.6 of the first Fresnel zone is just clear of obstruction by the sea surface. An approximate method for calculating this distance is given in § 17 of Recommendation ITU-R P.1546-4.
The alternative method should be used if all of the following conditions are true:
- The path is a sea path.
- The required frequency is less than 100 MHz.
- The required distance is less than the distance at which a sea path would have 0.6 Fresnel clearance at 600 MHz, given by D06(600, h1, 10) as given in § 17 of P1546-4.
If any of the above conditions is not true, then the normal interpolation/extrapolation method given by equation (14) should be used.
If all of the above conditions are true, the required field strength, E, should be calculated using:
dB(μV/m) for d <= df
dB(μV/m) for d > df
where:
Emax : maximum field strength at the required distance as defined in § 2 of P1546-4
maximum field strength at distance df as defined in § 2 of P1546-4
d600 : distance at which the path has 0.6 Fresnel clearance at 600 MHz calculated as D06(600, h1, 10) as given in § 17 of P1546-4
...
Interpolation of field strength as a function of distance
Figures 1 to 24 of Recommendation ITU-R P.1546-4 show field strength plotted against distance, d, the range 1 km to 1 000 km. No interpolation for distance is needed if field strengths are read directly from these graphs. For greater precision, and for computer implementation, field strengths should be obtained from the associated tabulations (see Annex 1 of ITU-R P.1546-4, § 3). In this case, unless d coincides with one of the tabulation distances given in Table 1, the field strength, E (dB(mV/m)), should be linearly interpolated for the logarithm of the distance using:
dB(μV/m) (Eq. 235)
where:
d : distance for which the prediction is required
dinf : nearest tabulation distance less than d
dsup : nearest tabulation distance greater than d
Einf : field-strength value for dinf
Esup : field-strength value for dsup.
This model is not valid for values of d less than 1 km or greater than 1 000 km.
Interpolation and extrapolation of field strength as a function of frequency
Field-strength values for the required frequency should be obtained by interpolating between the values for the nominal frequency values of 100, 600 and 2000 MHz. In the case of frequencies below 100 MHz or above 2 000 MHz, the interpolation must be replaced by an extrapolation from the two nearer nominal frequency values. For most paths interpolation or extrapolation for log (frequency) can be used, but for some sea paths when the required frequency is less than 100 MHz it is necessary to use an alternative method.
For land paths, and for sea paths where the required frequency is greater than 100 MHz, the required field strength, E, should be calculated using:
dB(μV/m) (Eq. 236)
where:
f : frequency for which the prediction is required (MHz)
finf : lower nominal frequency (100 MHz if f < 600 MHz, 600 MHz otherwise)
fsup : higher nominal frequency (600 MHz if f < 600 MHz, 2 000 MHz otherwise)
Einf : field-strength value for finf
Esup : field-strength value for fsup.
The field strength resulting from extrapolation for frequency above 2 000 MHz should be limited if necessary such that it does not exceed the maximum value given in § 2 of Recommendation ITU-R P.1546-4.
For sea paths where the required frequency is less than 100 MHz an alternative method should be used, based upon the path lengths at which 0.6 of the first Fresnel zone is just clear of obstruction by the sea surface. An approximate method for calculating this distance is given in § 17 of Recommendation ITU-R P.1546-4.
The alternative method should be used if all of the following conditions are true:
- The path is a sea path.
- The required frequency is less than 100 MHz.
- The required distance is less than the distance at which a sea path would have 0.6 Fresnel clearance at 600 MHz, given by D06(600, h1, 10) as given in § 17 of P1546-4.
Ed600 field strength at distance d600 and the required frequency calculated using equation (14).
Interpolation of field strength as a function of percentage time
Field-strength values for a given percentage of time between 1% and 50% time should be calculated by interpolation between the nominal values 1% and 10% or between the nominal values 10% and 50% of time using:
...
If any of the above conditions is not true, then the normal interpolation/extrapolation method given by equation (14) should be used.
If all of the above conditions are true, the required field strength, E, should be calculated using:
dB(μV/m) for d <= df
dB(μV/m) for d > df
where:
Emax : maximum field strength at the required distance as defined in § 2 of P1546-4
maximum field strength at distance df as defined in § 2 of P1546-4
...
d600 : distance at which the path has 0.6 Fresnel clearance at 600 MHz calculated as D06(600, h1, 10) as given in § 17 of P1546-4
df : distance at which the path has 0.6 Fresnel clearance at the required frequency calculated as D06( f, h1, 10) as given in § 17 of P1546-4
Ed600 field strength at distance d600 and the required frequency calculated using equation (14).
Interpolation of field strength as a function of percentage time
Field-strength values for a given percentage of time between 1% and 50% time should be calculated by interpolation between the nominal values 1% and 10% or between the nominal values 10% and 50% of time using:
dB(μV/m) (Eq. 237)
where:
t : percentage time for which the prediction is required
...
where Qi (x) is the inverse complementary cumulative normal distribution function.
This model is valid for field strengths exceeded for percentage times in the range 1% to 50% only. Extrapolation outside the range 1% to 50% time is not valid.
...
Table 88: Default clutter height in the ITU-R P.1546-4 model (when clutter height option not activated)Anchor T088 T088
Selected environment | Assumed height of local clutter |
Rural | 10 |
Sub-urban | 10 |
Urban | 20 |
Dense urban | 30 |
Where the receiving/mobile antenna is on land account should first be taken of the elevation angle of the arriving ray by calculating a modified representative clutter height R' (m), given by:
m (Eq. 238)
...
Correction 
dB for h2 < R′ (Eq. 239)
dB for h2 ≥ R′
...
v = 
m
degrees
f: frequency (MHz).
In cases in an urban environment where R' is less than 10 m, the correction should be reduced by Kh2 log(10/R′). Where the receiving/mobile antenna is on land in a rural or open environment the correction is given by equation 
for all values of h2 with R' set to 10 m.
...
Correction = 
(Eq. 240)
where ha is the antenna height above ground (m) (i.e. height of the mast) and R is representative of the height of the ground cover surrounding the receiving/mobile antenna as defined in § 9 of P1546Recommendation ITU-R P. 1546-4, which also represents the height of ground cover surrounding the transmitting/base antenna. This correction only applies when d is less than 15 km and h1 − R is less than 150 m.
Variation in path loss
Values of standard deviation are dependent on frequency and environment, and empirical studies have shown a considerable spread. Representative values for areas of 500 m ´ 500 m are given by the following expression (In SEAMCAT it is understood that the below equation only applies to the Mobile system and not to the Broadcasting systems):
dB (Eq. 241)
...
f : required frequency (MHz).
In SEAMCAT depending on the selected system the standard deviation is defined as follow:
Mobile: when “< 2 km radius” and “< 50 km radius” is selected, 4 dB and 8 dB are added to the calculated standard deviation respectively. This responds to the note of the Recommendation stating that if the area over which the variability is to apply is greater than 500 m ´ 500 m, or if the variability is to relate to all areas at a given range, rather than the variation across individual areas, the value of sL will be greater. Empirical studies have suggested that location variability is increased (with respect to the small area values) by up to 4 dB for a 2 km radius and up to 8 dB for a 50 km radius.
...
dB (Eq. 242)
...