ITU P.1546 Model

A Propagation Model for Broadcasting

Introduction


The ITU propagation model P.1546 model is used for point-to-area radio propagation predictions for terrestrial services in the frequency range of 30 MHz to 3000 MHz.


It is intended for use

  • on tropospheric radio circuits over land paths, sea paths and/or mixed land-sea paths
  • between 1 km and 1000 km length
  • for effective transmitting antenna heights less than 3000 m.
The method is based on interpolation/extrapolation from empirically derived field strength curves as functions of distance, antenna height, frequency and percentage of time. The calculation procedure also includes corrections of the results obtained from this interpolation/extrapolation to account for terrain clearance and terminal clutter obstructions.
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Field strength curves for different transmitter heights



The propagation curves represent field strength values for 1 kW effective radiated power (ERP) at nominal frequencies of 100, 600 and 2000 MHz, respectively, as a function of various parameters; some curves refer to land paths, others refer to sea paths.


The curves are based on measurement data mainly relating to mean climatic conditions in temperate regions containing warm seas, e.g. the Mediterranean Sea. The land-path curves were prepared from data obtained mainly from temperate climates as encountered in Europe and North America. The sea-path curves were prepared from data obtained mainly from the Mediterranean Sea regions.

The model takes account of the effective height of the transmitting/base antenna, which is the height of the antenna above terrain height averaged between distances of 3 km to 15 km in the direction of the receiving/mobile antenna.

Parameters


The two parameters to be defined by the user with their range:
  • Location Variability (1...99 %)

  • Time Variability (1...50 %)





In this ITU recommendation, and generally, location variability refers to the spatial statistics of local ground cover variations. Thus for a land receiving/mobile antenna location the field strength E which will be exceeded for q% of locations is given by:

where:

        Qi (x):    inverse complementary cumulative normal distribution as a function of probability
        σL:    standard deviation of the Gaussian distribution of the local means in the study area
 

Values of standard deviation are dependent on frequency and environment, and empirical studies have shown a considerable spread.

The propagation curves represent the field strength values exceeded for 1%, 10% and 50% of time. Other values will be interpolated. This model is not valid for field strengths exceeded for percentage times outside the range from 1% to 50%.


Example


The example show two predictions of the received power with the ITU P.1546 model. The prediction area covers the soutwest of Germany (south of Stuttgart).

Two DAB transmitters, mounted on very tall towers (see figures on the left), are located in the area.

The predictions are shown below and can be enlarged by clicking on the figures.


Click to enlarge

Clutter/Morpho database



Click to enlarge

Rx power of DAB transmitter (Stuttgart)


Click to enlarge

Rx power of DAB transmitter (Raichberg)

 

Brochure with all rural prediction models.

Comparison between different rural prediction models.

Overview all rural prediction models.





TV tower in Stuttgart








Broadcasting Tower on the Raichberg