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Illumination Efficiency
It is possible to take each antenna pattern and calculate and compare the amount of signal transmitted to and beyond the cell, taking into account the free space loss, rain attenuation and the
atmospheric loss. Using typical cell sizes between 2 Km and 10 Km, one is able to calculate the illumination efficiency for each antenna pattern by dividing the amount of signal transmitted to
points within the cell boundary by the total. The results for variations in cell size and rain rate are shown in Figure 2 and it is clearly seen that the 64 degree antenna achieves a considerably
higher efficiency factor for all conditions. The extra signal allowance for rain conditions means that the system is less efficient in no rain conditions, i.e. too much signal is transmitted.
Cell Edge Signal Variation
One possible argument in favour of the 90 degree antenna is that the difference in free space loss between the opposite and adjacent corners is 3 dB and that the difference in angle is 45 degrees,
therefore 3 dB at +/-45-degrees equals a 90 degree 3 dB beamwidth. However this does not take into account any loss due to rain, a serious omission since the link budget should be calculated
under worst-case conditions! Since rain attenuation is proportional to distance, the differential between signal levels at opposite and adjacent corners increases, thus favouring a narrower beam antenna.
Plots of the signal variation along the cell edge are shown (Figure 3) for a 5 Km cell and a rain attenuation of 3.67dB/Km. Higher rain rates and larger cells produce larger differentials and hence
require narrower beamwidths.
Conclusion
Overall, it looks like the 90 degree sector antenna is not as suitable as the 64 degree sector antenna for this application. Figure 1 illustrates this point quite nicely, showing a coverage contour plot
for each antenna type overlaid on the cell. In addition, the 64 degree antenna is a relatively simple device to manufacture, whilst the 90 degree antenna requires the use of beam shaping
techniques, making it more expensive both to develop and produce. To sum up, one could replace a 90 degree sector antenna with a 64 degree version and at worst, see no difference in system
performance. More probably, one would see an improvement in the quality of the signal coverage, as indicated by these theoretical results.
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