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MATLAB/Octave Implementation of Recommendation ITU-R P.1812

DOI

This code repository contains a MATLAB/Octave software implementation of Recommendation ITU-R P.1812-6 with a path-specific propagation prediction method for point-to-area terrestrial services in the frequency range 30 MHz to 6000 MHz.

This version of the code corresponds to the reference version approved by ITU-R Working Party 3K and published on ITU-R SG 3 Software, Data, and Validation Web Page.

The following table describes the structure of the folder ./matlab/ containing the MATLAB/Octave implementation of Recommendation ITU-R P.1812.

File/Folder Description
tl_p1812.m MATLAB function implementing Recommendation ITU-R P.1812-6
validate_p1812.m MATLAB script used to validate the implementation of Recommendation ITU-R P.1812-6 in tl_p1812.m
./validation_profiles/ Folder containing a proposed set of terrain profiles and inputs for validation of MATLAB implementation (or any other software implementation) of this Recommendation
./validation_results/ Folder containing all the results written during the transmission loss computations for the set of terrain profiles defined in the folder ./validation_profiles/
./private/ Folder containing the functions called by tl_p1812.m and validate_p1812.m

Function Call

The function tl_p1812 can be called

  1. by invoking only the required input arguments including latitude/longitude of Tx/Rx as Name-Value pairs:
[Lb,Ep] = tl_p1812(f, p, d, h, R, Ct, zone, htg, hrg, pol,...
    'phi_t', phi_t, 'phi_r', phi_r, 'lam_t', lam_t, 'lam_r', lam_r);
  1. by invoking only the required input arguments including latitude of path centre as a Name-Value pair:
[Lb,Ep] = tl_p1812(f, p, d, h, R, Ct, zone, htg, hrg, pol, 'phi_path', phi_path);
  1. by invoking optional input arguments as Name-Value pairs in addition to the required input arguments:
[Lb, Ep] = tl_p1812(f, p, d, h, R, Ct, zone, htg, hrg, pol, 'phi_path', phi_path, 'DN', DN, 'N0', N0);

Required input arguments of function tl_p1812

Variable Type Units Limits Description
f scalar double GHz 0.03 ≤ f ≤ 6 Frequency
p scalar double % 1 ≤ p ≤ 50 Time percentage for which the calculated basic transmission loss is not exceeded
d array double km ~0.25 ≤ max(d) ≤ ~3000 Terrain profile distances (in the ascending order from the transmitter)
h array double m (asl) Terrain profile heights
R array double m Representative clutter heights
Ct array int 1 - Water/sea, 2 - Open/rural, 3 - Suburban, 4 - Urban/trees/forest, 5 - Dense urban Array of representative clutter types. If empty or all zeros, the default clutter type used is Open/rural
zone array int 1 - Sea, 3 - Coastal land, 4 - Inland Radio-climatic zone types
htg scalar double m 1 ≤ htg ≤ 3000 Tx antenna height above ground level
hrg scalar double m 1 ≤ hrg ≤ 3000 Rx antenna height above ground level
phi_t scalar double deg -80 ≤ phi_t ≤ 80 Latitude of Tx station
phi_r scalar double deg -80 ≤ phi_r ≤ 80 Latitude of Rx station
lam_t scalar double deg -180 ≤ lam_t ≤ 180 Longitude of Tx station
lam_r scalar double deg -180 ≤ lam_r ≤ 180 Longitude of Rx station
pol scalar int pol = 1, 2 Polarization of the signal: 1 - horizontal, 2 - vertical

Instead of Tx/Rx latitudes and longitudes (phi_t, phi_r, lam_t, lam_r), one can include only the latitude of path center phi_path.

Optional input arguments of function tl_p1812

Variable Type Units Limits Description
pL scalar double % 1 ≤ pL ≤ 99 Location percentage for which the calculated basic transmission loss is not exceeded. Default is 50%.
sigmaL scalar double dB location variability standard deviations computed using stdDev.m according to §4.8 and §4.10; the value of 5.5 dB used for planning Broadcasting DTT; Default: 0 dB.
Ptx scalar double kW Ptx > 0 Tx power; Default: 1.
DN scalar double N-units/km DN> 0 The average radio-refractivity lapse-rate through the lowest 1 km of the atmosphere at the path-center. It can be derived from an appropriate map. Default: 45.
N0 scalar double N-units The sea-level surface refractivity at the path-centre. It can be derived from an appropriate map. Default: 325.
dct scalar double km dct ≥ 0 Distance over land from the Tx antenna to the coast along the great-circle interference path. Default: 500 km. Set to zero for a terminal on a ship or sea platform.
dcr scalar double km dcr ≥ 0 Distance over land from the Rx antenna to the coast along the great-circle interference path. Default: 500 km. Set to zero for a terminal on a ship or sea platform.
flag4 scalar int If flag4= 1, the alternative method from Attachment 4 to Annex 1 is used to calculate Lbulls without using terrain profile. Default: 0.
debug scalar int If debug= 1, the results are written in log files. Default: 0.
fid_log scalar int Only used if debug= 1 File identifier of the log file opened for writing outside the function. If not provided, a default file with a filename containing a timestamp will be created.

Outputs

Variable Type Units Description
Lb double dB Basic transmission loss
Ep double dB(uV/m) Electric field strength

Software Versions

The code was tested and runs on:

  • MATLAB versions 2017a and 2020a
  • Octave version 6.1.0

References

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MATLAB/Octave Implementation of Recommendation ITU-R P.1812

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