an5142 link budget

Link BudgetRF System (Link Budget) CalculationsSystem VariablesVariableUnitsEquationValueFrequencyf0MHz315Speed of Lightcm/s299792458Wavelengthm = c/f00.9517220889BlockVariableUnitsEquationValuePA PowerPPAdBm10TX Match LossLMatchTdBTX sourcePTXdBm10TX connector lossLConT1dB(from Connector Loss sheet)-0.57TX cable lossLCabTdB(from Cable Loss sheet)TX connector loss (remote antenna)LConT2dB(from Connector Loss sheet)TX powerPTdBmPT = PTX(C&C Loss)9.43TX antenna gainGTdBi-15Effective (Isotropic) Radiated PowerEIRPdBmEIRP = PT GT-5.57Distancedm175Channel Medium Loss FactorL0dB(from Medium Loss sheet)0Free Space LossLFSdBLFS = (/4d)2-67.2747552714Power at RX Antenna, Free Space PathPChanFSdBPChanFS = LFSL0 EIRP-72.8447552714Flat Earth Loss (Includes Ground Bounce)LFEdB(from Ground Multipath sheet)-92.734165755Multipath LossLMPdBObstruction LossLObs-TotaldB0Power at RX Antenna, Flat Earth PathPChanFEdBPChanFE = LFEL0LMPLObs EIRP-98.304165755RX antenna gainGRdBi-15RX connector lossLConR1dB-0.57RX cable lossLCabRdBRX connector loss (remote antenna)LConR2dBRX power, Free Space PathPRFSdBmPRFS = PChanFS GR(C&C Loss)-88.4147552714RX power, Flat Earth PathPRFEdBmPRFE = PChanFE GR(C&C Loss)-113.874165755-114Sensitivity of RxReceiver Sensitivity CalculationsVariableUnitsEquationValueRX Noise FigureNFdB7Operating TemperatureT0K290Effective Noise TemperatureTeKTe = T0(NF - 1)1163.4429775191Boltzmann's constantkJ/K1.38E-23Receive BandwidthBWRXMHz0.012Antenna TemperatureTAntK300Noise Power (at RX)PndBmPn = k(TAnt + Te)BWRX-126.1556386257Signal to Noise RatioSNRRXdBSNRRX = PRX/Pn12.1556386257

Link PlotLink PlotDevice Sensitivity-114Signal PathSensitivityTX10-114TX Ant-5.57-114RX Ant-98.304165755-114RX-113.874165755-114Maxim TXSupply (V)PA OutputMaxim RXFrequency (MHz)ModulationSensitivity (dBm)MAX14722.16MAX1470315ASK-1092.710.3433.92ASK-1043.613.7MAX1471315ASK-114MAX14792.15.3315FSK-1082.710433.92ASK-1143.612.2433.92FSK-108MAX70302.16.7MAX1473315ASK-1143.613.1433.92ASKMAX70312.16.7MAX7030315ASK-1143.613.1433.92ASK-113MAX70322.16.7MAX7031315FSK-1103.613.1433.92FSK-107MAX70442.19MAX7032315ASK-1142.712.5433.92ASK-1133.615.8315FSK-110MAX70492.115433.92FSK-1073.615MAX7033315ASK-114MAX70572.15.2433.92ASK3.612.6MAX7034315ASK-114MAX70582.15.9433.92ASK-1133.613.3MAX7036315ASK-109MAX70602.114.5433.92ASK-1073.614.5MAX7042315FSK-110433.92FSK-109All numbers are based on Datasheet conditionsAll numbers are based on Datasheet conditions

Link Plot

-114

Ground MultipathGround Multipath LossReference Maxim Application Note AN3586Ground Reflection Path LossSystem VariablesVariableUnitsEquationValueTX heighthTXm1RX heighthRXm1Distancedm(from Link Budget sheet)175Direct Pathd1md1 = (d2+(hTX-hRX)2)1/2175Reflection Pathd2md2 = (d2+(hTX+hRX)2)1/2175.0114281983Reflection Path dmd = d2 - d10.0114281983Distance IndexDistanceDelta dFree Space LossEst. Flat Earth LossExact Flat Earth LossEstimated Reflection Path demde = 2hTXhRX/d0.011428571402.00.8284271247-28.434594211-15.0514997832-33.4737222587Wavelengthm(from Link Budget sheet)0.951722088912.10.8027964634-28.8164764111-15.8152641835-32.3267052015Normalized Ground Bounce Amplitudeanone122.20.7763802081-29.2144139298-16.6111392209-31.4441088394Loss From Ground Bounce CancellationLGBdBLGB =10log10(0.5(1+a2-2acos(2d/)))-25.459410483632.30.7492653629-29.6283180087-17.4389473786-30.7750446287Free Space LossLFSdBLFS = 10log10(/4d)2-67.274755271442.40.7215515921-30.0580421642-18.2983956897-30.2863347506Flat Earth LossLFEdBLFE = LGB+ LFS-92.73416575552.50.6933500628-30.5033843116-19.1890799844-29.955171855262.70.6647818157-30.9640896458-20.1104906529-29.7651266863Ground Reflection Path Loss Approximation (for d > 5(hTX+hRX))72.80.6359756965-31.4398541957-21.0620197526-29.7038189275System VariablesVariableUnitsEquationValue83.00.6070659151-31.930328946-22.0429692532-29.7614841146Estimated Flat Earth Loss*LFEedBLFEe = 10log10(hTX2hRX2/2d4)-92.731821904193.20.5781893316-32.4351244153-23.0525601918-29.9300572795Estimated Ground Bounce Cancellation LossLGBedB= LFEe - LFS-25.4570666327103.40.5494825907-32.9538155667-24.0899424948-30.2025726944113.60.5210792433-33.4859469301-25.1542052214-30.5727671687* Introduction to RF Propagation, John S. Seybold, p.172123.80.4931069943-34.0310378149-26.244386991-31.0348201298134.10.4656852105-34.588587504-27.3594863693-31.583188556144.30.4389227967-35.1580803259-28.4984720131-32.2125088501154.60.4129165224-35.7389905182-29.6602923978-32.9175459958165.00.3877498439-36.3307868107-30.8438849827-33.6931755002175.30.3634922335-36.9329366697-32.0481847006-34.534387085185.70.3401989924-37.5449101635-33.2721316882-35.4363016376196.10.3179115013-38.1661834213-34.5146782039-36.3941949372206.60.2966578396-38.7962416726-35.7747947065-37.403523348217.10.2764536971-39.4345818654-37.0514750922-38.4599480745227.60.2573034975-40.0807148728-38.3437411069-39.5593557633238.20.2392016559-40.7341673032-39.6506459676-40.6978741882248.90.2221339023-41.3944829386-40.9712772384-41.8718825127259.60.2060786116-42.0612238284-42.3047590181-43.07801616952610.40.1910080942-42.7339710689-43.650253499-44.31316677912711.20.1768898115-43.412325301-45.0069619632-45.57447775872812.10.1636874933-44.0959069597-46.3741252807-46.85933638372913.10.1513621432-44.7843563065-47.7510239743-48.16536309393014.20.1398729239-45.4773332765-49.1369779143-49.49039879873115.40.1291779242-46.1745171695-50.5313457003-50.83249086343216.70.1192348105-46.8756062122-51.9335237858-52.18987836383318.10.1100013702-47.5803170163-53.342945394-53.56097709573419.70.1014359573-48.288383955-54.7590792713-54.94436472673521.30.0934978478-48.9995584775-56.1814283163-56.33876638383623.20.0861475192-49.7136083795-57.6095281203-57.74304089143725.20.0793468606-50.4303170441-59.0429454495-59.1561678043827.30.0730593259-51.1494826666-60.4812766945-60.57723532253929.70.067250037-51.8709174736-61.9241463085-62.00542913674032.30.0618858475-52.5944469461-63.3712052534-63.44002220274135.10.0569353715-53.319909053-64.8221294673-64.88036543854238.20.0523689865-54.0471535028-66.2766183669-66.32587930084341.50.0481588131-54.7760410157-67.7343933927-67.77604619584445.10.0442786792-55.5064426221-69.1951966056-69.23040366884549.10.04070407-56.2382389886-70.6587893384-70.68853831034653.40.0374120692-56.9713197735-72.1249509083-72.15008032134758.20.0343812925-57.7055830145-73.5934773904-73.61469867374863.30.0315918173-58.4409345465-75.0641804543-75.08209681144968.90.029025109-59.1772874517-76.5368862647-76.55200883455075.00.0266639468-59.9145615416-78.0114344444-78.02419611815181.60.0244923486-60.6526828687-79.4876770987-79.49844431625288.90.0224954974-61.3915832697-80.9654779007-80.97456070995396.80.0206596695-62.1311999364-82.444711234-82.452371859354105.40.0189721643-62.8714750152-83.9252613917-83.931721525655114.80.0174212373-63.6123552338-85.4070218289-85.412468831156125.00.0159960352-64.3537915523-86.8898944658-86.894486629457136.20.0146865352-65.0957388395-88.3737890402-88.37766006158148.30.0134834861-65.8381555715-89.8586225042-89.861885272859161.60.0123783539-66.5810035522-91.3443184657-91.347068281160175.00.0114281983-67.2747552714-92.7318219041-92.734165755

Ground Multipath

Free Space LossEst. Flat Earth LossExact Flat Earth Loss

Cable LossCable LossSystem VariablesVariableUnitsEquationValueCable Type@1GHzPasternack Enterprisese, Catalog 2008B, p254-256Attenuation at 1GHzGCab1GdB/100 ft-20RG-58C/U-20Length of CabledCabm0.61RG-142B/U-13Cable Loss FactorLcabdB-0.4002624672RG-174A/U-31RG-8X-13.52ft = 0.6096m

Range (meters)Path Loss (dB)

ObstructionsObstructions LossBlockVariableUnitsEquationValueFirst Obstruction LossLObs1dB0.0Second Obstruction LossLObs2dB0.0Third Obstruction LossLObs3dB0.0Fourth Obstruction LossLObs4dB0.0Fifth Obstruction LossLObs5dB0.0Total Obstruction LossLObs-TotaldB0.0ObstructionLoss FigureInterior Wall3.0dBExterior Wall10.0dBWindow2.0dBElectronic Design - Top 5 Engineering Essentials, Louis E. Frenzel, 2011 Penton, p.5Light Internal Wall (plaster board), Window3.4dBConcrete or Brick Internal Wall6.9dBFloor (reinforced concrete