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The attenuation A in the above equations is set to the fade margin and the equation is solved for p ITU-530-xx clearly states that the equations are valid only in the range from 1 to 0001 percent On many practical links, this range will be exceeded, especially on short links with high fade margins 7 If worst-month statistics are required, calculate the annual time percentages p corresponding to the worst-month time percentages pw using climate information speci ed in ITU-R Recommendation P841 The values of A exceeded for percentages of the time p on an annual basis will be exceeded for the corresponding percentages of time pw on a worst-month basis Both ITU-530-xx and Crane methods calculate the annual probability of rain outage The annual rain outage probability is translated to worst-month rain outage probability as follows:
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363 Comparison of ITU-R and Crane Rain Outage Models
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The comparison in Table 31 of predicted attenuation is provided for places where the ITU and Crane zones overlap10 ITU zone M does not correspond to a Crane zone very well and is not included in the comparison Crane D2 and E are irregular through M, with Crane E extending from Florida to Northern Alabama and up to South Carolina Listed in the table are attenuation values for the same locations using the ITU zone for ITU calculations and the corresponding Crane zone for Crane calculations All of the Crane models predict a larger attenuation than the ITU model; however, this difference is also about the same as the difference between various Crane models It is interesting that ITU zone D is Northern California, with less rainfall, and zone E is Southern California, with more rainfall
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TABLE 31
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Rain Attenuation Comparison at 9999 Percent Availability for a 3 km Path Units (mm/hr) (dB) (dB) (dB) (dB) E/F 22/22 108 132 136 124 D/C 19/29 143 172 184 200 K/D2 42/47 223 257 288 269 N/E 95/91 392 459 520 513
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ITU Zone/Crane Zone Rain rate ITU/Crane ITU-R 530 Crane global Crane two-component Model Crane revised two-component Model
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The corresponding Crane zones are C for Northern California and F for Southern California, and they predict just the opposite intensity, which is actually correct For prediction of rain fade attenuation using the ITU 530-xx standard, rain rate at the 001 percent exceeded level for the zone of interest is required, plus frequency, path length, and attenuation factors from ITU-R 838 Other percentages are calculated using only the 001 percent value The ITU model consists of simple equations, whereas all of the Crane models, on the other hand, require solution of a number of complex equations to obtain the path-averaged rain rate and a representation of the path profile by exponential functions Crane s formulas are used to make predictions about link availability for radio and radar installations One shortcoming is encountered when trying to extend his result to other than surface to surface and surface to satellite links Crane s derivations and formulas are very empirical, sometimes hard to understand, and difficult to extend Users can apply in their calculations either ITU or Crane models, whichever makes them more comfortable Their choice of model may depend more on their institutions prejudices and traditions or their customers comfort level with either model than on the requirements for accuracy It is also important to keep in mind that the more stringent (conservative) method does not necessarily have to be more accurate On the other hand, a more conservative method of calculation can lead to more expensive network design
364 Reducing the Effects of Rain
The most common reason for preferring a lower frequency is the susceptibility of bands above 10 GHz to rainfall attenuation Although fades caused by rain cells are occasionally observed at lower frequencies (10 to 20 dB fades at 6 GHz have been recorded, even in North America), this type of fade generally causes outages only on paths above 10 GHz The outages are usually caused by blockage of the path by the passage of rain cells (eg, thunderstorms) perhaps 4 to 8 km (25 to 5 mi) in diameter and 5 to 15 min in duration on the path Such fading exhibits slow, erratic level changes, with rapid path failure as the rain cell intercepts the path Things to keep in mind in connection with rain attenuation fades are as follows:
Multipath fading is at its minimum during periods of heavy rainfall with well-aligned dishes, so the entire path fade margin is available to combat the rain attenuation
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