4812.Flicker-Noise-v1

Calculatestotalnoiseoverabandwithof1/f+flatnoise.Userentriesinyellowhighlights.Hoveronmarkedcellsforexplanations.Frequency1/fFlatband11.00E-071.00E-08DataTableforGraph:Frequency1/fNoiseFlatNoiseTotalRTINoise0.010.011.00E-061.00E-081.000E-060.0335.50E-071.00E-085.506E-070.10.13.16E-071.00E-083.164E-070.331.74E-071.00E-081.744E-07111.00E-071.00E-081.005E-073.35.50E-081.00E-085.595E-0810103.16E-081.00E-083.317E-08331.74E-081.00E-082.008E-081001001.00E-081.00E-081.414E-083305.50E-091.00E-081.142E-081k10003.16E-091.00E-081.049E-0833001.74E-091.00E-081.015E-0810k100001.00E-091.00E-081.005E-08330005.50E-101.00E-081.002E-08100k1000003.16E-101.00E-081.000E-083300001.74E-101.00E-081.000E-081M1.00E+061.00E-101.00E-081.000E-083.30E+065.50E-111.00E-081.000E-0810M1.00E+073.16E-111.00E-081.000E-08FrequencyRangef1=10f2=100Backgroundinformationcanbefoundintheseblogs:ResistorNoise—reviewingbasics,plusaFunQuizOpAmpNoise—thenon-invertingamplifierOpAmpNoise—butwhataboutthefeedback?Otherinteresting“TheSignal”BlogTopics1.E-091.E-081.E-071.E-061.E-021.E-01NoiseVoltageDensityV/rt-HzBruceTrump3-3-20131/fFlatContributionContributionTotalNoise1.52E-079.49E-081.79E-0772%28%100%1.E-011.E+001.E+011.E+021.E+031.E+041.E+051.E+06FrequencyNoiseVoltageDensityvs.FrequencyTotalNoiseDensity1/fNoiseFlatbandNoise1.E+06Calculatesnoisedensityofasimplenon-invertingamplifier.Userentriesinyellowhighlights.Hoveronmarkedcellsforexplanations.ThermalRTIContribution%NoiseComponentEntryRNoiseGainV/rt-HzContributionCommentSourceRs=5.00E+122.868E-042.868E-040%ThermalNoisecontributionofsourceresistance.OpAmpVnoise=1.00E-091.000E-090%Opampvoltagenoisecontribution.OpAmpInoise=4.00E-132.000E+00100%OpAmpnon-invertinginputcurrentnoisecontribution3.636E-100%OpAmpinvertinginputcurrentnoisecontributionR1=10004.056E-093.687E-090%R1thermalnoisecontributionR2=100001.283E-081.166E-090%R2thermalnoisecontribution11.0Non-invertinggain.Temperature'C=252.000E+00100%TotalRTI(inputreferred)noise2.200E+01OutputNoiseFeedbackLoad=11000R1+R2istheeffectiveloadontheopamp.CellhighlightswhenR1+R22000.NoiseFigure(dB)76.87NoiseaddedtoRsthermalnoisebyamplifier,R1andR2.ThistablesweepsRsvaluesforthegraph.Itusesopampvoltage/currentnoiseandR1,R2valuesenteredabove.RsRsNoiseTotalRTINoise10104.056E-104.031E-09337.368E-104.078E-091001001.283E-094.211E-093302.330E-094.640E-0910001k4.056E-095.718E-0933007.368E-098.492E-091000010k1.283E-081.402E-08330002.330E-082.708E-08100000100k4.056E-085.711E-083300007.368E-081.512E-071.00E+061M1.283E-074.201E-073.30E+062.330E-071.340E-061.00E+0710M4.056E-074.021E-063.30E+077.368E-071.322E-051.00E+08100M1.283E-064.002E-053.30E+082.330E-061.320E-041.00E+091G4.056E-064.000E-04Totallyunrelatedbonusgadget:InputResistorValue301.E-091.E-081.E-071.E-061.E+021.E+03RTINoiseVoltageDensityV/rt-HzRTINoiseDensityvs.SourceResistanceNearest1%Value30.1Formulainthiscellformulacalculatestheneareststandard1%valuetotheinputresistorvalue.Usewithmultiple-resistorcalculationstoavoidtolerancebuild-up.BruceTrump,February10,2013Backgroundinformationcanbefoundintheseblogs:ResistorNoise—reviewingbasics,plusaFunQuizOpAmpNoise—thenon-invertingamplifierThermalNoisecontributionofsourceresistance.OpAmpNoise—butwhataboutthefeedback?Opampvoltagenoisecontribution.Otherinteresting“TheSignal”BlogTopicsOpAmpnon-invertinginputcurrentnoisecontributionOpAmpinvertinginputcurrentnoisecontribution3.636E-10R1thermalnoisecontribution3.867E-09R2thermalnoisecontribution3.867E-09TotalRTI(inputreferred)noiseR1+R2istheeffectiveloadontheopamp.CellhighlightswhenR1+R22000.2000ThistablesweepsRsvaluesforthegraph.Itusesopampvoltage/currentnoiseandR1,R2valuesenteredabove.1.E+031.E+041.E+051.E+061.E+071.E+08SourceResistance,RsRTINoiseDensityvs.SourceResistanceRsThermalNoiseTotalNoiseFormulainthiscellformulacalculatestheneareststandard1%valuetotheinputresistorvalue.Usewithmultiple-resistorcalculationstoavoidtolerancebuild-up.AlternativecalculationforinvertinginputbiascurrentcontributionusingInoise*(R1//R2)SummingRTInoiseofR1andR2thermalnoisecontributionDemonstratesequivalenceofRTInoiseofR1andR2bycalculatingnoiseofR1//R2AlarmvalueforR1+R2AlternativecalculationforinvertinginputbiascurrentcontributionusingInoise*(R1//R2)Calculatednoiseforaspecificresistance:TemperatureTemperatureTemperatureResistance25125-55EnterValueNoiseNoiseNoise100001.283E-081.482E-081.097E-08Datatableforgraph:TemperatureTemperatureTemperature25125-55ResistanceNoiseNoiseNoise10104.056E-104.687E-103.469E-101001001.283E-091.482E-091.097E-0910001k4.056E-094.687E-093.469E-091000010k1.283E-081.482E-081.097E-08100000100k4.056E-084.687E-083.469E-081.00E+061M1.283E-071.482E-071.097E-071.00E+0710M4.056E-074.687E-073.469E-071.E-101.E-091.E-081.E-071.E-06NoiseVoltageDensity(nV/rt-Hz)1.E-101.E-091.E-081.E-071.E-061.E+011.E+021.E+031.E+041.E+051.E+06Hz)Resistance(ohms)NoiseVoltageDensityvs.Resistance25'C+125'C-55'C1.E+061.E+07+125'C