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高斯多峰擬合,需要數據基本符合高斯分布(正態分布)
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function?[FitResultsLowestErrorBestStartxiyi]=peakfit(signalcenterwindowNumPeakspeakshapeextraNumTrialsstartAUTOZERO)??
%?peakfit([x‘?y‘].4.721010[.3?.1?.5?.1]0);??
%?Version?2.2:?October?2011.?Adds?exponential?pulse?and?sigmoid?models??
%?A?command-line?peak?fitting?program?for?time-series?signals???
%?written?as?a?self-contained?Matlab?function?in?a?single?m-file.???
%?Uses?an?non-linear?optimization?algorithm?to?decompose?a?complex???
%?overlapping-peak?signal?into?its?component?parts.?The?objective??
%?is?to?determine?whether?your?signal?can?be?represented?as?the?sum?of??
%?fundamental?underlying?peaks?shapes.?Accepts?signals?of?any?length??
%?including?those?with?non-integer?and?non-uniform?x-values.?Fits???
%?Gaussian?equal-width?Gaussians?exponentially-broadened?Gaussian???
%?Lorentzian?equal-width?Lorentzians?Pearson?Logistic?exponential??
%?pulse?abd?sigmoid?shapes?(expandable?to?other?shapes).?This?is?a?command??
%?line?version?usable?from?a?remote?terminal.?It?is?capable?of?making???
%?multiple?trial?fits?with?sightly?different?starting?values?and?taking??
%?the?one?with?the?lowest?mean?fit?error.??Version?2.2:?Sept?2011.??
%?PEAKFIT(signal);?????????
%?Performs?an?iterative?least-squares?fit?of?a?single?Gaussian????
%?peak?to?the?data?matrix?“signal“?which?has?x?values???
%?in?column?1?and?Y?values?in?column?2?(e.g.?[x?y])??
%??
%?PEAKFIT(signalcenterwindow);??
%?Fits?a?single?Gaussian?peak?to?a?portion?of?the???
%?matrix?“signal“.?The?portion?is?centered?on?the???
%?x-value?“center“?and?has?width?“window“?(in?x?units).??
%???
%?PEAKFIT(signalcenterwindowNumPeaks);??
%?“NumPeaks“?=?number?of?peaks?in?the?model?(default?is?1?if?not??
%?specified).???
%???
%?PEAKFIT(signalcenterwindowNumPeakspeakshape);??
%?Specifies?the?peak?shape?of?the?model:?“peakshape“?=?1-5.??
%?(1=Gaussian?(default)?2=Lorentzian?3=logistic?4=Pearson???
%?5=exponentionally?broadened?Gaussian;?6=equal-width?Gaussians;??
%?7=Equal-width?Lorentzians;?8=exponentionally?broadened?equal-width??
%?Gaussian?9=exponential?pulse?10=sigmoid).??
%??
%?PEAKFIT(signalcenterwindowNumPeakspeakshapeextra)??
%?Specifies?the?value?of?‘extra‘?used?in?the?Pearson?and?the??
%?exponentionally?broadened?Gaussian?shapes?to?fine-tune?the?peak?shape.???
%???
%?PEAKFIT(signalcenterwindowNumPeakspeakshapeextraNumTrials);??
%?Performs?“NumTrials“?trial?fits?and?selects?the?best?one?(with?lowest??
%?fitting?error).?NumTrials?can?be?any?positive?integer?(default?is?1).??
%??
%?PEAKFIT(signalcenterwindowNumPeakspeakshapeextraNumTrialsstart)??
%?Specifies?the?first?guesses?vector?“firstguess“?for?the?peak?positions??
%??and?widths?e.g.?start=[position1?width1?position2?width2?...]??
%???
%?[FitResultsMeanFitError]=PEAKFIT(signalcenterwindow...)??
%?Returns?the?FitResults?vector?in?the?order?peak?number?peak??
%?position?peak?height?peak?width?and?peak?area)?and?the?MeanF
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