# Microwave Attenuation and Prediction of Rain Outage for Wireless Networks in Pakistan's Tropical Region

Authors: Uzma Siddique; Laeeq Ahmad; Gulistan Raja
Journal: International Journal of Microwave Science and Technology
 (2011)

---

## Abstract

The microwave attenuation due to rainfall in tropical regions has not been very widely studied yet. In Pakistan's tropical environment, line-of-sight microwave communication links were set up and have been operated for several years to study the microwave attenuation characteristics due to tropical rainfall. In this paper the experimental results are presented, including the cumulative distributions of microwave attenuation and the relationship between specific attenuation and rainfall rate. In addition, a rain outage prediction model is proposed which not only predicts microwave radio link performance but will also be useful in calculating the link degradations due to interference issues. The main focus of this research work has been done keeping in mind the wireless networks of Pakistan. The results show that the rainfall rate, the microwave propagation characteristics, and outage predictions in Pakistan differ from the International Radio Consultative Committee predictions and ITU recommendation P530.7/8, respectively.


---

## Body

## 1. Introduction

Mobile operators are deploying increasingly complex wireless networks, and they need to optimize network performance to attract customers, reduce complexity, and get the most out of their network investment.To be successful, mobile operators must maximize transmissions network capacity and performance during the initial network design and throughout the life of the network by addressing all the factors that can affect network performance such as, terrain, irregular network layout, traffic distribution, new service offers, and an increasing subscriber base. Existing GSM transmissions networks in Pakistan suffer from a number of issues including reliability, performance due to usage of inaccurate rain statistics, and lack of offering the desired quality of services to their mobile subscribers.To study the microwave propagation characteristics, experiments have been carried out in Pakistan. Previously published  articles have introduced the setup of the experiment, analysed the microwave attenuation due to rainfall  at 21.225 GHz,  proposed the cumulative distributions  of attenuation and attenuation  duration at frequencies  of 15 and  38.6 GHz, and  also  obtained the  frequency  scaling  empirical formulae. The experimental results obtained in Pakistan differ from the CCIR predictions [1].The aims and objectives of this paper are to provide correct rain statistics for Pakistan region, impact of rain statistics on communication, and cumulative distribution of microwave attenuation and finally to propose a solution in order to predict the actual outage for transmission networks in Pakistan based on ITU recommendations [2].The next sections will cover the impact of rain on transmission communication, rainfall rate, attenuation cumulative distribution and its comparison with CCIR recommendations, ITU outage prediction model, and finally the comparison of experimental results with ITU standard model [3] and actual outage prediction for Pakistan region. Conclusions are drawn in the last section.


## 2. Impact of Rain on Wireless Communication

Rainfall causes the severe degradation of the receive signal level above 10 GHz, and generally this degradation is directly proportional to the frequency of radio waves. Each particular raindrop contributes to the attenuation of the wanted signal. The actual amount of fading is dependent on the frequency of the signal and the size of the raindrop. The two main causes of rain fading are scattering and absorption.In both satellite and terrestrial communication applications the prediction of rainfall attenuation is requisite. In practice, the relationship between specific attenuationA (dB/km) and rainfall rate R(mm/hr) can be approximated by the power law               (1)A=aRb,
where coefficients “a” and “b” depend on a variety of parameters (such as raindrop size distribution, raindrop shape, temperature, operating frequency, and polarization to a certainty) [4].ITU has defined the entire Pakistan ink-rain region with 42 mm/hr rain intensity. Within Pakistan there is a great variation in rain intensity from one city to another due to which different cities are under the influence of different regions ranging from B-rain zone to P-rain zone. Karachi has 148 mm/hr (P-region) rain intensity, recorded in August 2007. Islamabad is under L-region (60 mm/hr), while Peshawar and Faisalabad come after K-region with 42 mm/hr rain intensity. However, the regions like Thar and Cholistan Desert are in the continuous state of drought for the last 5-6 years.In a nutshell, Pakistan can be divided into various rain zones, and therefore every rain region has different effect on microwave propagation.


## 3. Impact of Using Wrong Rain Statistics on Wireless Communication

For areas with rain region less than “K” planning with higher rain region increases the operator’s OpEx. For example, in order to achieve 99.999% availability, for a given path length, a single microwave hop can cater the requirement but planning the same link with wrong higher rain region will require more than one microwave hop  to achieve the same availability objectives.Similarly for areas with rain regions higher thanK, planning with lower rain rate results in the poor performance of the transmission networks. For example, Karachi (P-region) when planned with K-region will suffer more outages than expected.


## 4. ITU Outage Prediction Model

ITU has divided the world in different rain climatic zones based on the rain intensity as shown in Table1.Table 1
ITU climatic zones [2].
S. nopercent age of time→ rain regions10.30.10.030.010.0030.0011A0.120.825814222B0.52361221323C0.72.8591526424D2.14.58131929425E0.62.46122241706F1.74.58152854787G3712203045658H2410183255839J813202835455510K1.54.21223427010011L2715336010515012M4112240639512013N51535659514018014P12346510514520025015Q24497296115142170A-region is with minimum rain intensity whileN-Region is with maximum rain intensity. As we move towards higher rain regions microwave propagation is more affected by the rain.  Rain outage time is calculated using the following steps.Determine the rain rate,R0.01, exceeded for 0.01% of the time [2].Calculate the specific attenuation “γ” [2], where(2)γ=α´R0.01%β,
where α´ and β are regression coefficients.Effective path length is calculated as follows [2]: (3)de=d(1+d/do),do=34⋅e-(0.15R0.01).The path attenuation,A0.01%, exceeded for 0.01% of the time, is given by [2](4)A0.01%=γ⋅de.Attenuations,A, exceeded for other percentages of the time, P, are derived from [2](5)AA0.01%=0.12P-[0.546+0.043⋅log⁡10(P)].The above equation is valid for latitude equal to or greater than 30 degree North or South [2]:(6)AA0.01%=0.12P-[0.855+0.139⋅log⁡10(P)].Above equation is valid for latitude less than 30 degree North or South. The attenuationA is set to the path fade margin and the equation is solved for P.The ITU 530 model [2] clearly states that these calculations are valid for 1% to 0.001% of the time rain rate exceeded.The worst month outage can be calculated by using the given formula [2]:(7)Twm=1.22Tan(0.87),
where Twm is the worst month outage in seconds, and Tan is annual outage time in second.


## 5. Attenuation Cumulative Distribution

We have experimentally studied the microwave propagation characteristics at frequencies of 15 and 38.6 GHz. There  exists an  almost  linear  relationship between specific  attenuationA(in decibels)  and the logarithmic  value of the  percentage time  F(in percent);  for 15 GHz [6],(8)A15=1.415-15.66log⁡(F),
while, for 38.6 GHz,(9)A38.6=7.182-24.93log⁡(F).
Both the correlative coefficients between Aand log(F) are almost  −1 for the  percentage time Fwithin the range  from 0.5% to 0.01%.Adopting  the widely used formula  typeA/A0.01=cF-[a+blog(F)]    (a, b,  and   care   constant  coefficients) [1],  we derive  the formulae  as follows:(10)A15A0.01=0.097F-[1.096+0.305log⁡(F)],
where A0.01  for 15 GHz  is 29.5 dB, (11)A38.6A0.01=0.156F-[0.821+0.215log⁡(F)],
where A0.01  for 38.6 GHz  is 52.5 dB.The CCIR prediction [1] provides the formula as follows:(12)AA0.01=0.12F-[0.546+0.043log⁡(F)],
and the result for 21.225 GHz given previously by Yeo et al. [5] is (13)AA0.01=0.12F-[0.74+0.14log⁡(F)].
To make a good comparison, three curves have been drawn in Figure 2 using these formulae.  The three curves stand for (10), (12), and (11), respectively, from top to bottom.Figure 1
Relationship between rainfall rate and attenuation at frequencies of 15 and 38.6 GHz [4].Figure 2
Comparison of cumulative attenuation distribution. The solid curve is from our measured results of 15 and 38.6 GHz, the dashed curve is from 21.225 GHz given by [5], and the dash dotted curve is from [1].Figure 3
Processing step 1.Figure 4
Processing step 2.Figure 5
Processing step 3.From Figure2 the following points are noted.(1)
According to [5, 6], CCIR prediction has underestimated the specific   attenuation level  for  a  specific   percentage time between 0.01% and 0.5% in tropical regions like Pakistan.(2)
The coefficient b for the Pakistan’s tropical region is bigger than that of [1]. Since  coefficient b  is of  almost  the  same  order  as coefficient a in our experiment,  this type of formula is quite   fallible  for  the   small  percentage  time   (e.g., smaller  than  0.001%).


## 6. Proposed Outage Prediction Model

The goal of the proposed outage prediction model is to predict radio relay link performance (quality and unavailability). The formulas are computed according to recommendation ITU-R P.530-7/8 [2].  This outage prediction model has the following main features:(i)
link outage calculation (min/year),(ii)
link outage for the rain rate exceeding all the percentages of time (1%–0.001%),(iii)
worst month outage calculation.Some facts and figures about proposed solutions are as follows.(i)
Due to unavailability of rain data for the entire Pakistan this model will simulate the calculations for only 5 cities, that is, Islamabad, Peshawar, Faisalabad, Lahore, and Multan.(ii)
The proposed solution is based on ITU recommendations P-530.7/8 [2].(iii)
Apart from annual outages, the proposed prediction model can calculate the worst month outage calculation also.The first processing step is to enter the site coordinates either in Decimal Format or in Degree Minute and Seconds Format. On the basis of the given input the city and its rain region is identified by the model. If the given inputs are outside the database, the model will simply return an invalid result and then either modify the coordinates or manually enter the rain zone for the given coordinates.In the second step, Path Profile Generator generates the path length, Fresnel zone radius, and azimuth based on the coordinates of the two sites. Then Logical Tester verifies the validity of the given parameters. If all parameters are okay, then Gain and Loss Analyzer generate antennas gain, absorption losses, free space loss, and Rx signal level. In case of any invalid entry the parameters like frequency, transmit power, losses, and antenna size should be modified.The final step includes the entry of parameters related to rain, that is, polarization, rain region, percentage of time rain rate exceeded, effective path length, and threshold @ 10−6. These parameters are first verified for their validity.If all parameters are okay the output results are displayed in terms ofK-Factor, alpha factor, rain intensity, required fade margin against rain, and actual link fade margin.On the basis of above input the final calculations are done to get the outages in sec/year, outage in min/year, and worst month outage in min/month.


## 7. Comparison between the Two Models

The comparison between Pathloss prediction model [3] based on ITU recommendation P 530.7/8 [2] and the proposed solution is made with respect to different parameters.The graph in Figure6 represents the variation of outage, with respect to rain region keeping path length, frequency and polarization constant, when comparing the two models.Figure 6
Comparison between Pathloss prediction model and proposed solution with respect to rain Region.This variation in the results, calculated by the two models, is directly proportional to the rain intensity. The variation is small with lower rain region and increases as the rain intensity increases. In nutshell the averaged variation in outage prediction, computed by the two models, is around 0.2%.The graph in Figure7 represents the variation of outage, with respect to frequency variation, keeping path length, rain region, and polarization constant, computed by the two different models.Figure 7
Comparison between Pathloss prediction model and proposed solution with respect to frequency.The results are almost similar at lower and medium frequencies whereas at higher frequencies the variation in the result is about 0.05%.  At higher frequencies voice communication is more susceptible to propagation effects especially rain as compared to lower frequencies.The graph in Figure8 represents the variation of outage, with respect to percentage of time rain rate exceeded keeping path length, rain region, and polarization constant, when comparing the two models.Figure 8
Comparison between Pathloss prediction  model and proposed with respect to percentage of time rain rate exceeded.The results are almost similar at different values, with a slight variation of about 0.25%.


## 8. Conclusions

In Pakistan’s tropical  region,  a line of sight  microwave communication experiments  have been conducted to  study  the  microwave-specific  attenuation due to  rainfall  at  frequencies  of 15 and  38.6 GHz.This paper  has presented the  results  on rainfall  rate, attenuation cumulative  distribution,  the  relationship between  specific  attenuation and rainfall  rate, and rain outage prediction model.ITU has defined the entire Pakistan in K-rain Region with 42 mm/hr rain intensity. Rain intensity in Pakistan in 2007 has exceeded 30% as compared to previous years.The proposed solution is supported by the two features that were not taken into account by Pathloss prediction model, extensively used by transmission planners, based on ITU recommendations P530.7/8 [2].(i)
The entire Pakistan is no more in single rain profile. Therefore the effect of rain intensity on microwave propagation is variable as different cities have been assigned variable rain regions.(ii)
The outage calculations can be computed for the rain rate exceeded other than 0.01% of the time.Rain region is calculated according to the data collected from meteorological office and outages other than 0.01% of the time rain rate exceeded can be calculated.The experimental results after comparison, between ITU standard model [2] and the proposed solution with respect to different parameters, show deviation of about 0.05%–3%. Apart from annual outages, the proposed solution can calculate the worst month outage also. The proposed solution can be used for mobile communication planners since it contains all the basic parameters for the transmission link planning.It has been proposed  that  the raindrop model  and raindrop size distribution  in Pakistan   are  quite  different   from those  adopted  by  CCIR,   and  this  will be  studied further.



---

*Source: 714927-2011-02-23.xml*