A systematic evaluation of link budget for

Computer Engineering and Intelligent Systems www.iiste.org
ISSN 2222-1719 (Paper) ISSN 2222-2863 (Online)
Vol.6, No.6, 2015
28
A SYSTEMATIC EVALUATION OF LINK BUDGET FOR
EFFECTIVE 900MHz GSM COMMUNICATION SERVICES
Michael F. Adaramola1*
and Emmanuel B. Balogun2
1. School of Engineering, Lagos State Polytechnic, Ikorodu, P.M.B. 21,606, Ikeja. Lagos. Nigeria.
2. Faculty of Education, Science Technology and Mathematics, University of Canberra, Australia.
Abstract
This paper describes the various basic parameters necessary to determine a high level link budget for radio
communication operating at 900MHz spectrum band. It considers a typical Lagos terrain by using the Okumura
and Hata prediction model in calculating the path loss between a transmitter and mobile receivers. In this paper,
the rain attenuation calculation from the updated ITU model was incorporated into the link budget to improve
GSM communication during rainfall. These parameters can be used to predict a reliable communication ranges
for the design and implementation of future GSM communication systems.
Keywords: 900MHz Spectrum Band, Prediction model, Link-budget, Path loss, Rain attenuation,
Communication ranges, GSM Communication.
1.0 Introduction
The need for effective propagation of radio signal from a transmitter to numerous and sensitive mobile receivers
cannot be underestimated, as this adequately depends on an accurately prepared link budget which gives an
account for all the gains and losses from a transmitter through a medium (free space, cable, waveguide etc) to a
receiver.
Successful design of radio communication links involves many factors such as the various losses, antenna power
and gain. However, it is the first step an engineer will consider in order to determine the feasibility of any given
GSM communication system. A link budget calculation is also an excellent means to understand the various
factors that must be traded off to realize a given cost and level of reliability for a communication link [1].
The prediction of propagation loss is a central question in the planning and preparation of a radio link budget and
the number of approaches and statistical model are available for the prediction and calculation of transmission
loss in different condition [2]. In this paper we consider the preparation of link budget parameters for 900MHz
GSM communication in different terrain (urban, suburban and rural).
Section 2.0 of this paper briefly discussed some mechanism through which radio signals are propagated. The
parameters for effective determination of Link budget were explained in section 3.0. Section 4.0 narrates the
radio wave propagation models necessary for effective evaluation of radio link budget while section 5.0 clearly
explains link calculations and results. An effective calculated sample link budget for an urban terrain in Lagos is
given in section 6.0. Finally, the conclusions were enumerated in section 7.0.
2.0 Radio Wave Propagation Mechanism
In radio propagation, electromagnetic waves suffer several effects that results in power loss and these effects are:
― Reflection and refraction: This actual characteristic depends on the polarization of the incident wave
and there can also be a 180 degree phase shift in the reflected component. Propagating wave impinges
on the object that is larger as compared to the wavelength (e.g. the surface of the earth, tall building,
and large wall etc). This results into large scale fading [3].
― Diffraction: This occurs when electromagnetic waves hit the edge of an obstacle; a secondary wave is
propagated into the shadowed region. An excess path length results in phase shift and Fresnel zone
(shadow region) relates phase shift to the position of obstacle. This results into small scale fading.
― Scattering: When objects are smaller than the wavelength of the propagating wave (e.g. foliage, street
signs, rain droplets, small concrete walls, lamp posts), the incoming wave is scattered into several
weaker outgoing signals. This also results into small scale fading [4] & [5].

Vol.6, No.6, 2015
29
3.0 Parameters for Determination of Link Budget
The link budget parameters are as follow:
― Transmitter Output Power: cost will be affected by transmitter output power and power amplifier
efficiency. Battery consumption may limit the maximum output power and safety consideration may
limit the Effective Isotropic Radiated Power (EIRP).
― Transmitter Feed-line Losses: Low-loss cable or wave guides are more expensive
― Connector Losses: losses associated with the feeders connectors
― Combiner Losses: in some cases, diplexers are used to connect feeder cable with a transmitting antenna.
― Transmit Antenna Gain: Higher-gain antennas are more expensive and may not be practical for portable
and mobile users.
― Path Loss: This may be a system design parameter (e.g. cell size). For land mobile applications we can
use statistical models such as Okumura-Hata.
― Other propagation losses: These may need to be considered in some application.
a. Log-normal shadowing (land mobile)
b. Diffraction losses (obstructed paths)
c. Atmospheric absorption (at high frequencies)
d. Outdoor-to-indoor (base outside, user indoor)
― Receiver Antenna Gain: The same gain/cost consideration with transmitter antenna. In some cases a
higher receiving antenna will also reduce interference.
― Implementation Losses: Some link budgets include an implementation loss to account for distortion,
inter-modulation, phase noise and other degradation introduced by real receivers and transmitters.[6]
4.0 Radio Wave Propagation Models for GSM Services
Over the decades, various propagation models have been developed to estimate the propagation path loss at
various mobile stations’ distances from a base transceiver station to a mobile transceiver.
a. Free space loss model:
The free space model assumes an ideal situation where there are no obstacles that could cause reflection,
diffraction or scattering within the line-of sight between the transmitter and receiving stations. Thus the
attenuation of the radio wave signal is proportional to the distance from the transmitter.[6]
The receiver power density, at a distance “d” from the transmitter, is expressed as:
D = Pt At/4πd2
Where: At – BTS Transmitter antenna gain
A = λ2
Ar/4π - Effective area of the receiver antenna
The receiver power density can also be written as:
D = Pr/A
Where: Pr = Pt At Ar (λ /4d)
Path Loss, PL = 10 log (Pt / Pr)
We know that f is in MHz (106
Hz) and d is Km (103
m)
PL = 32.44 + 20 log (f) + 20log (d)
Practically, the ideal situation upon which this model was derived is quite realistic. Radio wave signal power
attenuation depends largely on the frequency band and terrain types between the transmitting and receiving
antenna. The propagation path loss varies according to the terrain type and this should be given serious
consideration in propagation path loss modeling. This is done using the correction factor for each terrain. A more
realistic path loss model is the Okumura and Hata model for macro cells in rural and suburban areas.
The most common practical propagation models for frequency band of 900MHz are:
b. Okumura Model:
Okumura developed an empirical model that is derived from extensive radio propagation studies in Tokyo. It is
represented by means of curves with which is applicable for urban areas. For other terrain, Okumura has
provided correction factors for three types of terrain:

Vol.6, No.6, 2015
30
― Urban Area: Built up city or large town with large buildings and houses with two or more storey, or
larger villages with close houses and tall, thickly grown trees.
― Suburban Area: Village or highway scattered with trees and houses, some obstacles near the mobile but
not very congested
― Open Area: Open space, no tall trees or buildings in path, plot of land cleared for
300–400 m ahead, e.g. farmland, rice fields, open fields. It also corresponds to rural area, countryside kind of
terrain [4] & [6].
c. Hata Model:
This is an empirical prediction method of graphical path loss data provided by Okumura. It is important to note
that estimation is easier in this model, but it is limited to frequency of 150MHz to 1500MHz, receiver distance of
1 to 20Km, transmitter antenna height of 3 to 200m and receivers’ antenna height of 1 to 10m. Hata presented
the urban propagation loss as a standard formula and supplied correction equations for other types of areas.
― Urban Area [5]:
LU = A + B log10 (f) – 13.82 log10 (ht) – a(hr) + [44.9 – 6.55 log10 (ht)] Log10 d
Where:
A = 69.55, B = 26.16 (for frequency of 900MHz)
LU = Propagation loss in urban area decibel (dB)
f = frequency in Megahertz (MHz)
ht = Transmitter antenna height in meter (m)
hr = receiver antenna height in meter (m)
d = distance between transmitter and receiver
a(hr) = receiver correction factors
Correction factor for small to medium city is written as:
a(hr) = (1.1 log10 f – 0.7) hr – (1.56 log10 f – 0.8) (dB)
For large city, the correction factor is written as:
a(hr) = 3.2 [log10 (11.75(hr))] (dB)
― Suburban area [6]:
The path loss formula for urban is modified as:
LSU = LU – [log10 f/28]2
– 5.4
Where:
LSU = Path loss (dB) in suburban area
― Open area [7]:
The path loss for suburban is also modified as:
LO = LU – 4.78[log10 f]2
+ 18.33 log10 f – 40.94
Where:
LO = Path loss (dB) in an open area
d. Rain Attenuation Using the Updated ITU Model:
The ITU rain attenuation model is given in Reference 8 of the compendium. The first step is applying the ITU
model for a given availability on a horizontal or nearly horizontal communication link is to determine the
99.99% fade depth. The standard approved relation governing rain attenuation in every country of the world is
clearly written in the proceedings of the ITU. The rain rate attenuation measured in dB is expressed below:
Attenuation (0.01) = k.RRα
dr (dB) [6]
Where: RR = The 99.9% Rain Rate for the rain region (mm/hour). K.RRα
= This is the specific
rain attenuation (dB/km)
d = This is the link distance (km) r = This is
the factor given as 1/1+ (d/do) = (0.998)
do = This is the Effective Path Length (km)
do = 35e-0.015RR
(km)

Vol.6, No.6, 2015
31
k = 0.324, RR = 95 (For Lagos metropolis in Nigeria), α = 0.95 and d = Unknown (i.e. there is no specific value
assigned).
The parameter d0 is the effective path length and r is called the distance factor. The values of k and α are gotten
from two ITU publications page 838.1 and page 837.1 respectively. Then, the value of d is assumed to be 7.2 km
[7], [8], [9], [10], [11], [12] & [13].
5.0 Results of Systematic Evaluation of Link Budget
The objective of evaluation is to balance the uplink and down link. Since the MS and the BTs have different RF
architecture, the receive signal sensitivity will be different. BTs power can be adjusted to balance the link. The
power balance (up link and down link) will also decide the cell range. The followings scenarios are very
important in the process of evaluating an effective link budget. They are:
a. When the down link is greater than the uplink (limitation of the MS output power and BTs
receivers sensitivity) it results in the followings:
- Range of BTS must be greater than Range of MS.
- Call dropped on uplink after initiation of handover.
- Coverage area is smaller in reality than the prediction.
- This is the most frequent case.
b. When the uplink is greater than the down link.
- Range of MS must be greater than Range of BTS.
- No coverage problem from MS to BTS.
If the uplink is greater than the down link, it is better than uplink to be less than the down link.
For link calculation, general link budget equation is written as:
SRX = EIRP + – – L Path loss + Tx …………… (1)
Where:
EIRP: Effective Isotropic Radiated Power (dBm)
Tx: Transmitter power (MS or BTS) in dBm
G: Gain of different equipment (dB)
L: Loss of different equipment (dB)
SRX: Receiver Sensitivity (MS or BTS) in dBm
Both the mobile station and base station serves as a transceiver station depending on the flow of communication
from the transmitter to the receiver. This can be an uplink (MS transmit, BTS receives) or down link (BTS
transmit, MS receives) [7].
Regarding MS sensitivity SMS,
Equation (1) can be rewritten for MS sensitivity as:
SMS = 10 log10 (KTB) + EC /NO + NF ……………. (2)
Where:
K = Boltzmann’s constant (1.38 х 10-23
J/°K).
T = Ambient temperature (300 °K).
B = Equivalent Noise bandwidth (200 KHz).
Ec/No = Intrinsic characteristic of the modulator (8 dB).
NF = Noise figure of receiver (10 dB).
SMS = – 120dBm + 8dB + 10dB = –102dBm
In the case of BTS Sensitivity SBTS, there is a change in NF whilst the calculation adopts same rule.
The same calculation applies as in MS but NF for BTS = 8 dB
Therefore, the equation can also be written as:
SBTS = – 120dBm + 8dB + 8dB = –104dBm
a. For downlink budget calculation
Equation (1) can be expanded as follows:
SRX = EIRP + GMS –IDM – LSM – LMCC – LPL –LBL ………… (3)
Where:
SRX = MS Sensitivity (-102dBm)
GMS = MS Antenna Gain
IDM = Interference Degradation Margin (3dB)
LSM = Log Normal Shadowing Margin For 90% Coverage Area (5dB)
LMCC = MS antenna cable and connector loss (0dBm)

Vol.6, No.6, 2015
32
LBL= 3dB antenna (body loss)
LPL = Propagation / Path Loss
EIRP= PBTS – LCFI – LAFC + GBTS ………………………… (4)
Where:
PBTS = Output power of BTS.
LCFI = Combiner / filter / isolator loss (4dB).
LAFC = BTS transmitter antenna feeder / connector loss (2dB).
GBTS = BTS transmitter gain (dBi)
b. For uplink budget calculation
Equation (1) can be expanded as follows:
SRX = EIRP + GBTS –IDM – LSM – LACC – LPL –LBL ………….. (5)
Where:
SRX = BTS Sensitivity (-104dBm)
GBTS = BTS receiving Antenna Gain (dB)
IDM = Interference Degradation Margin (3dB)
LSM = Log Normal Shadowing Margin For 90% Coverage Area (5dB)
LACC = BTS antenna cable and connector loss (dBm)
LBL= 3dB antenna (body loss)
LPL = Propagation / Path Loss
EIRP= PMS – LAFC + GMS ………………. (6)
Where:
PMS = Output power of MS.
LAFC = MS transmitter antenna feeder / connector loss (0dB).
GMS = Mobile antenna gain (0 dBi)
c. For rain attenuation calculation
Now, calculating the rain attenuation for Lagos metropolis as a case study of this paper, we have
Attenuation0.01 = 0.324 (95)0.95
7.2 0.998 = 176.135 (dB) [13] …. …………… (7)
6.0 Effective Sample Link Budget for Lagos Metropolis
A corrected sample of link budget for Lagos metropolis is shown in table 1 below. However, table 1 shows a link
budget taken from a 900MHz GSM specification which incorporates the rain attenuation result calculation in
order to enhance effective GSM communications during rainfall.

Vol.6, No.6, 2015
33
Table 1: Effective Calculated Sample Link Budget
System scenario Cluster scenario indoor
Frequency band 900MHz
Environment Urban
Cluster scenario Indoor
Down link (DL) Data Uplink (UL) Data
BTS Max. transmit power (dBm) 46 MS max. transmit power (dBm) 33
BTS combiner loss (dB) 7 BTS combiner loss (dB) 0
7/8 Feeder length (m) 50.00 7/8 Feeder length (m) 50.00
5/4 Jumper length (m) 0.00 5/4 Jumper length (m) 0.00
½ Jumper length (m) 5.00 ½ Jumper length (m) 5.00
Feeder connector loss (dB) 0.50 Feeder connector loss (dB) 0.50
BTS Feeder and connector loss (dB) 3.08 BTS Feeder and connector loss (dB) 3.08
BTS Antenna Gain (dBi) 18.00 BTS Antenna Gain (dBi) 18.00
Effective Isotropic Radiated Power EIRP
(dBm)
53.93 BTS antenna diversity gain (dB) 3.00
MS sensitivity (dBm) -102.00 BTS Sensitivity (dBm) -104.00
Noise correction (dB) 2.00 Noise correction (dB) 2.00
Actual Environment sensitivity (dB) -100.00 Actual Environment sensitivity (dB) -108.00
Maximum path loss (dB) 153.93 Maximum path loss (dB) 158.93
Body loss 0.00 Body loss 0.00
Standard development of slow fading (dB) 8.00 Standard development of slow fading (dB) 8.00
Expected area coverage probability 98% Expected area coverage probability 98%
Corresponding edge coverage probability 94% Corresponding edge coverage probability 94%
Expected shadow fading margin (dB) 12.2 Expected shadow fading margin (dB) 12.2
Cluster loss (dB) 25 Cluster loss (dB) 25
Allowed Down Link Propagation loss (dB) 292.87 Allowed Up Link Propagation loss (dB) 297.87
Allowed propagation loss satisfying link budget 292.87dB
Rain attenuation loss for Down Link (dB)
176.14
Rain attenuation loss for Up Link estimate (dB)
176.14
MS antenna height (m) 1.5
BTS antenna height (m) 30
Twice environment correction (dB) 0
Coverage radius (Km) 0.51
7.0 Conclusions
Based on the results in 5.0, it show that for effective communication between mobile station and the base station,
more emphasis must be made concerning the medium and the various losses attached to it, and that must be
absolutely considered in preparation of a quality link budget. The rain attenuation loss must be given priority
because of its significance while communicating during the period of rainfall.
The link budget which includes all gains and losses from baseband input to baseband output should be given
maximum consideration: Choice of propagation model suitable for the terrain profile of the cell must be a
priority. Time dispersion (multipath) is a major issue in live network and can be reduced by cell site location and
installation of sectorized antennas.
The concluding remark for a good link budget is that both the uplink and downlink must be considered, and the
link must be designed in such a way that both the uplink and downlink receive signal balances.
However, the effective link budget calculation decides the cell coverage range in any urban centre and megacity
like Lagos in Nigeria.
References
[1] Zyren J., Petrick A., (1998), “Basic Link Budget Analysis” Intersil, AN9804.1

Vol.6, No.6, 2015
34
[2] Gilles Y. D., Jean-Paul L., Michel L. and Jean-Yves C., (1985), “Propagation Loss Prediction: A
Comparative Study with Application to the Mobile Radio Channel” IEEE Transactions on Vehicular Technology
Vol. 34, No. 2
[3] Girod L. (1999), “Radio Propagation” CSCI 694, pp 8-12.
[4] Simon R. S. and Alejandro A., (2007), “Antennas and Propagation for Wireless Communication Systems”,
John Wiley & Sons, USA, pp 89-103, 105-135
[5] Huawei Technologies, (2004) “OMF000502 Network Planning Principle ISSUE1.3 “, internal publication
[6] Shoewu O. and Edeko F. O., (2011), “Analysis of radio wave propagation in Lagos environs” American
Journal of Scientific and Industrial Research, pp 438-455.
[7] Mawjoud S. A., (2005), “Evaluation of Power Budget and Cell Coverage Range in Cellular GSM System”
University of Mosul
[8] EECE 563: “Link budget calculation and final review” wireless calculation 1999/2000, winter session,
term 2,
[9] ITU-R Recommendation P.530-14, (2012),”Propagation data and prediction methods required for the design
of terrestrial line-of-sight systems.” International Telecommunication Union
[10] ITU-R Recommendation P.838-3, (2005), Specific attenuation model for rain for use in prediction methods.
International Telecommunication Union
[12] Chebil J., and Rahman T.A., (1999), “Rain rate statistical conversion for the prediction of rain attenuation in
Malaysia”, pp 1019–1021
[13] John S. Seybold, (2005), “Introduction to RF Propagation”, John Wiley & Sons, USA, pp 224-229

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