Link Budget Calculation
Marco Zennaro [email protected] Carlo Fonda [email protected] Link Planning
How long can a wireless link be? How much power can we use? What kind of antennas should be use? Do the connection cables effect the link? What is the effect of trees? dB math
decibels are a relative measurement unit unlike the absolute measurement of milliwatts on the logarithmic scale, the reference cannot be zero because the log of zero does not exist! log(0) is undefined! dB math
the reference point that relates the logarithmic dB scale to the linear watt scale is: 1 mW = 0 dBm
the m in dBm refers to the fact that the reference is 1 mW and therefore a dBm measurement is a measurement of absolute power dB math
to convert mW to dBm: P(dBm)= 10 log P(mW) to convert dBm to mW:
P(mW)= log-1 (P(dBm)/10) the advantage of using dB is that gains and losses are ADDITIVE dB math
gain or loss in an RF system may be referred to by absolute power measurement (10W of power) or by a relative power measurement (half of its power) -3dB = half the power in mW +3dB = double the power in mW -10dB = one tenth the power in mW +10dB = ten times the power in mW dB math
for example: 10 mW + 3 dB = 20 mW 100 mW - 3dB = 50 mW 10 mW + 10 dB = 100 mW 300 mW - 10 dB = 30 mW ! ! "#$%&'(!)!*!+,!,-./$0'.&$12!!!!!"
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for example: +43 dBm 43dB = 10dB + 10dB + 10dB + 10dB + 3dB 1 mW x 10 = 10 mW 10 mW x 10 = 100 mW 100 mW x 10 = 1000 mW 1000 mW x 10 = 10000 mW 10000 mW x 2 = 20000 mW = 20 W dB math
exercise: express -26 dBm in Watts -26dB = - 10dB - 10dB - 3dB - 3dB 1 mW / 10 = 100 μW 100 μW / 10 = 10 μW 10 μW / 2 = 5 μW 5 μW / 2 = 2.5 μW dB math
when quantifying the gain of an antenna, the decibel units are usually represented by dBi the i stands for isotropic, which means that the change in power is referenced against an isotropic radiator an isotropic radiator is a theoretical ideal transmitter that produces an e.m. field in all directions with equal intensity at a 100% efficiency other decibels units are also used, as for example the dBd which is a measure of the gain of an antenna system relative to a dipole antenna antenna gain
an antenna element is a passive device the antenna can create the effect of amplification by virtue of its physical shape
by intentional radiator we mean the RF device and all cabling and connectors up to, but not including, the antenna !"###!"#$%&'()(*(+,(,-./#0&.%#12(
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any reference to “power output of the Intentional Radiator” refers to the power output at the end of the last cable or connector before the antenna for example: if a 30 mW transmitter loses 15 mW of power in the cables and another 5 mW in the connectors, the power of the intentional radiator is 10 mW intentional! radiator! "#$%&'(!)!*!+,!,-./$0'.&$12!!!!"#
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the EIRP is the Equivalent Isotropically Radiated Power EIRP is the power actually radiated by the antenna element and is important because it is regulated by the FCC or other regulatory agency it is used in calculating whether or not a wireless link is viable ! ! "#$%&'(!)!*!+,!,-./$0'.&$12!!!!"#
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suppose a transmitting station uses a 10 dBi antenna (which amplifies the signal 10 times) and is fed by 100 mW from the intentional radiator the EIRP is 1000 mW or 1 W
the FCC has rules defining both the power output at the intentional radiator and the antenna element EIRP
the FCC enforces certain rules regarding the power radiated by the antenna element, depending on whether the implementation is point-to-multipoint (PtMP) or point-to- point (PtP) PtMP links are typically configured in a star topology when an omnidirectional antenna is used, the FCC automatically considers the link a PtMP link PtMP
in the setup of a point-to-multipoint link, the FCC limits the EIRP to 4 Watts the power limit set for the intentional radiator is 1 Watt is the transmitting LAN devices are adjustable with respect to their output power, then the system can customized to the needs of the user PtMP
for example: a radio transmitting at 1 Watt(+30 dBm) is connected directly to a 12 dBi omnidirectional antenna the total output power at the antenna is about 16 Watts, which is well above the 4 Watts limit the FCC stipulates that for each 3dBi above the antenna’s initial 6dBi of gain, the power of the intentional radiator must be reduced by 3dB below the initial +30dBm PtMP
for our example, since the antenna gain is 12dBi, the power of the intentional radiator must be reduced by 6dB this reduction will result in an intentional radiator power of 24 dBm, or 36 dM of EIRP which is 4 Watts the end result is that the power at the intentional radiator must never be more than 1 Watt, and the EIRP must never be above 4 Watts for a PtMP connection !"#$$$!"#$%&'()(*(+,'&-&..(/01(2'3#4,5#%,64.(#47(8%#47#'7.(
!"#$%&'$()*+$)*+$,--./$0$!"#$12%%$()*+3$$4,/56./78/.9$56.$-8:./$;<7<5$=.5$>8/$56.$ <*5.*5<8*);$/)+<)58/$?56.$+.@ point-to-point links include a single directional transmitting antenna and a single directional receiving antenna the FCC mandates that for every 3 dBi above the initial 6 dBi of antenna gain, the power at the intentional radiator must be reduced by 1 dB from the initial +30 dBm consider the previous example: 1W (+30 dBm) at the intentional radiator and a 12 dBi antenna (directional antenna in this case) PtP the total output power is still 16 Watts since the antenna gain is 12 dBi, the power at the intentional radiator must be reduced by 2 dB this reduction will result in an intentional radiator power of 28 dBm (30-2), and an EIRP of 40 dBm or 10 Watts in the case of PtP links, the power of the intentional radiator is still limited to 1 Watt, but the limit of the EIRP increases with the gain of the antenna ! ! "#$%&'(!)!*!+,('-'..!/01!2(3$4,5$&,64.!$47!8&$47$(7.!!!!"#!!!! "#$%!$&!'(!)*$+!,-.!/01.2!#,!,-.!$%,.%,$0%#3!2#)$#,02!45&,!6.!2.)57.)!68!(!)*+!#&!0//0&.)! ,0!#!9!)*!2.)57,$0%!$%!,-.!/2.:$05&!.;#4/3.!(?!)*4!@AB!)*4!C!(!)*D+!02!#605,!9AB!4E!#%)!#%!FGHI!0>!JB!)*4! @(?!)*4!K!'(!)*$D+!02!'B!E#,,&!I,I!3$%L&+!,-.!/01.2!#,!,-.!$%,.%,$0%#3! 2#)$#,02!$&!&,$33!3$4$,.)!,0!'!E#,,+!65,!,-.!3$4$,!0>!,-.!FGHI!!"#$%&'%'!1$,-!,-.!"#$%!0>!,-.! #%,.%%#!@M$"52.!9 ! ! Fresnel zone the Fresnel Zone occupies a series of concentric ellipsoid-shaped areas around the Line-of-Sight path RF LOS is different that visual LOS visual LOS is present when one can stand next one antenna and use binoculars to view the other antenna RF LOS requires not only a visual sight line between the antennas but it also requires that a football shaped area between the two antennas be free of obstructions Fresnel zone the fresnel zone is an area that is larger in diameter at the center and smaller in diameter at either end. Also, the greater the distance between the antennas, the larger the diameter of the fresnel zone in the center. the Fresnel Zone is important to the integrity of the RF link because it defines an area around the LOS that can introduce RF signal interference if blocked objects in the Fresnel Zone as trees, hilltops and buildings can diffract or reflect the main signal away from the receiver Fresnel zone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resnel zone the radius of the Fresnel Zone at its widest point can be calculated as r=43.3 x sqrt(d/4f) where d is the link distance in miles, f is the frequency in GHz and the answer r is in feet r=17.3 x sqrt(d/4f) where d is the link distance in kilometers, f is the frequency in GHz and the answer r is in meters at 2.4 GHz, for a distance of 10 km, the Fresnel Zone has a radius of 17.6 meters Fresnel zone considering the importance of the Fresnel Zone, it is important to quantify the degree to which it can be blocked typically, 20% to 40% Fresnel Zone blockage introduces little to no interference into the link it is better to err to the conservative side, allowing no more than 20% blockage of the Fresnel Zone http://gbppr.dyndns.org:8080/fresnel.main.cgi Propagation Basics signal power is diminished by geometric spreading of the wavefront, commonly known as Free Space Loss signal power is attenuated as the wave passes through solid objects as trees, walls, windows and floors of buildings the signal is scattered and can interfere if there are objects in the beam of the transmit antenna even if these objects are not in the direct path between the transmitter and the receiver Free Space Loss geometric spreading happens because the wavefront radiated signal’s energy expands as a function of the distance from the transmitter using decibels to express the loss and using 2.45 GHz as the signal frequency, the equation for the Free Space Loss is Lfsl = 40 + 20*log(r) where Lfsl is expressed in dB and r in meters Attenuation when the RF signal passes through solid objects, some of the signal power is absorbed the most convenient way to express this is by adding an “allowed loss” to the Free Space attenuation can vary greatly depending upon the structure of the object the signal is passing through metal in the barrier greatly increases the attenuation Attenuation trees account to 10 to 20 dB of loss per tree in the direct path. Loss depends upon the size and the type of tree walls account to 10 to 15 dB depending upon the construction floors of buildings account 12 to 27 dB of loss. Floors with concrete and steel are a the high end and wood floors at the low end mirrored walls have very high loss because the reflective coating is conductive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catterL.2&"#.%*:%ing$0)#%$;5.%*:%<.0&1)*'6%$0.%=>%#)3+&,%-),,%.+2*"+$.'%* <&:/&=%&>(?#%" <1@&' % % % Scattering the distortion degrades the ability of the receiver to recover the signal in a manner much like signal loss multipath can cause several different conditions, all of which can affect the transmission of the RF signal differently ! ! 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Increased Signal Amplitude !"#$$$!"#$%&'()(*+',-./&0",,%123(41'&/&00(567(820%#//#%1,20(( %&'()*$+,-$ 9$:#;&(( ! 6<$/1%-;&(;&='�& ;-&(%,(>#%"(5,00 +,@&'(@1%" #2(#2%&22# 82?$"#0&('&:/&=%&; 0132#/(10(#;;&;(%, %"&(<#12(0132#/ ! ! "#!$%!$&'()#*+#!#(!,+-.)%#*+-!#/*#!*!).0.$1.-!23!%$4+*5!0*+!+.1.)!6.!*%!5*)4.!*%!#/.!%$4+*5! #/*#!7*%!#)*+%&$##.-!-,.!#(!#/.!%$4+$8$0*+0.!(8!8)..!%'*0.!'*#/!5(%%!9,%,*55:!0*55.-!!"#$% &'((;'*+%$(+!*%!#/.!%$4+*5! #)*1.5%!#/)(,4/!('.+!%'*0.'*+-%B! #/.!4,&!*#!*+:!'($+#!6.0(&.%!#/$++.)'*+-.-#6((@O! 7$).5.%%!PAQ!')(65.& antenna diversity was devised for the purpose of compensating the multipath antenna diversity means using multiple antennas in order to compensate the conditions that cause multipath antenna switching diversity: multiple antennas on multiple inputs, with a single receiver. The signal is received through only one antenna at a time transmission diversity: transmits out of the antenna last used for reception. Can alternate antennas for retries Scattering a simple way of applying the effects of scattering is to change the exponent on the distance factor of the Free Space Loss formula like this: L(dB) = 40 + 10 * n * log(r) the exponent tends to increase with the range in an environment with a lot of scattering calculating a range can often require some iteration of the exponent to be used Total Loss when Free Space Loss, Attenuator and Scattering are combined, the loss is L(dB) = 40 +10*n*log(r) + Lallowed Link Margin the performance of any communication link depends on the quality of the equipment being used the link margin is a way of quantifying equipment performance an 802.11 link has an available link margin that is determined by four factors Link Margin Transmit Power Transmit Antenna Gain Receive Antenna Gain Cable Losses, Connector Losses and Lightning Arrestor Losses Minimum Received Signal Strength or Level the link margin is then TX(power)+TX(ant gain)+RX(ant gain)-RSL Link Margin the link factors are usually listed in the manufacturer’s data sheets for the equipment being used note that the minimum RSL is dependent upon rate and the 1 Mbps rate is used for maximum range TX power can also be rate dependent but manufacturers rarely indicate this Maximum Range the maximum range is achieved when the signal loss is less than the link margin we must know the equipment parameters and must estimate the allowed loss and the scattering exponent to complete the calculation the equipment parameters can be found on the data sheets http://www.qsl.net/n9zia/ RF Propagation Basics Link Margin. In addition to environmental factors described above, the performance of any communication link depends on the quality of the equipment being used. Link margin is a way of quantifying equipment performance. An 802.11 communication link has an available link margin that is determined by four factors: ! Transmit power ! Transmit antenna gain ! Receive antenna gain ! Minimum received signal strength or level. The link margin is: Lmargin = TXpower + TXant gain + RXant gain – RSL Eq 5 The link factors are usually listed in the manufacture’s data sheets for the equipment being used. For instance, if Sputnik’s AP160 is used as an access point with an external 8.5 dBi antenna to communicate with a laptop computer having a D-Link DWL-G650 station card, the factors to be used are: ! TX power = 13 dBm ! TX antenna gain = 8.5 dBi ! RX antenna gain = 0 dBi ! Min RSL = -89 dBm ! Link margin = 110.5 dB Note that the Min RSL is dependent upon rate and the 1 Mbps rate is used for maximum range. TX power can also be rate dependent but manufacturers rarely indicate this. Maximum range. The maximum range is achieved when the signal loss expressed in Equation 4 is less than the link margin expressed in Equation 5. The system operator Maximneeds to knowum the equipment Range parameters and must estimate the allowed loss and the scattering exponent to complete the calculation. Example parameters are shown in Tables 1 and 2. Table 1. Application Dependent Environment Parameters Allowed Loss Scattering Application (dB) Exponent Example Outdoor free space 0 2 2.5 at 200m 3 at 400m Outdoor, no barriers 0 3.5 > 500m Marina Outdoor with trees 10 to 20 3 to 4 Park Outdoor buildings 0 4 Urban café Indoor - no barriers 0 2.5 Conference room Indoor partitions 0 3.5 Office cubicles 12 to 27 (floors) Condo, Indoor walls & floors 10 to 15 (walls) 4 to 5 apartment ! 2004 Sputnik, Inc. All rights reserved. 3 !"#$%"&$%'()*+,-$ !" !# $% &% '" '# 2" (#))*+,-.)*/011 2# 345 65 !"#$"%& '()*+,-).,/( &0 Link Margin Example suppose a university wants to setup a point-to-multipoint link Example Access Point: TX Power: 13 dBm TX Antenna Gain: 8.5 dBi PC Cards: RX Antenna Gain: 0 dBi RX Sensitivity: -89 dBm Example the link margin is TX(power)+TX(ant gain)+RX(ant gain)-RSL 13+8.5+0-(-89)= 110.5 dB Example we can estimate the allowed loss to be 10 dB if the park had a modest number of trees mixed with open spaces and use a scattering exponent of 3 to get the maximum range we solve 110.5=40+10*3*log(rmax)+10 and we find rmax=102 meters Example using the same equation to calculate the range assuming free space loss only (exponent=2, and allowed loss=0) 110.5=40+10*2*log(rmax)+0 rmax=3264 meters this example shows that environmental factors can play a significant role in diminishing the signal strength Link Budget Calculation Thank you for your attention! Contact info: Marco Zennaro [email protected] http://wireless.ictp.it