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 interpolating - curve fitting
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dean.pask

UK
Posts

Posted - 11/01/2005 :  6:29:36 PM  Show Profile  Edit Topic  Reply with Quote  View user's IP address  Delete Topic
Origin Version (Select Help-->About Origin): 7.5
Operating System: xp

Hi all,

My program with large amounts of help from Mike is below which works amazing.. I have found that my FFTs are skewed and require interpolating then curve fitting (non linear curve fitting - peak functions - gauss)... my question as ever is how do I do this in my code?

Super thanks in advance again.

Dean

%L=%H; // save its name
wks.col1.type=4;
worksheet -s 2 0 2 0;
worksheet -p 200 Origin;

layer -a;
window -t W FFT;
%F=%H; // save its name
page.label$=FFT of %L; // identify Labview data in label
page.title=3; // show label

fft.reset();
fft.forward = 1;
fft.forward.timeData$ = %L_A;
fft.forward.tdelta = %L_A[2] - %L_A[1];
fft.forward.realData$ = %L_B;
fft.output.samplingdata$ = %F_Freq;
fft.output.realdata$ = %F_Real;
fft.output.imagdata$ = %F_Imag;
fft.output.ampdata$ = %F_r;
fft.output.phasedata$ = %F_Phi;
fft.output.powerdata$ = %F_Power;
fft.real = 1;
fft.normalize = 1;
fft.shifted = 1;
fft.windowing = 3;
fft.spectrum = 1;
fft.unwrap = 1;
fft.forward();


worksheet -s 4 0 4 0;
worksheet -p 200 Origin;
%P=%H; // save graph name
layer1.y.from = 0;
layer1.x.from = 2E8;
layer1.x.to = 3E9;
layer1.y.to = 0.5;

nPeaks=5;
%B=%F_r;
win -t D; // create temporary wks
%W=%H; // save its name
wks.addcol(Pki); // add col for peak indices
curve.pickpeaks.simple=1;
curve.reset();
curve.data$=%B;
curve.peakIndex$ = %W_Pki;
curve.pickPeaks.rectHeight = 0.005;
curve.pickPeaks.rectWidth = 0.005;
curve.pickPeaks.minHeight = 0.005;
curve.pickPeaks(1);

get %W_Pki -e end;
if(end==0) {
type -a No peaks were found.;
win -cd %W;
return;
};

nn=0;
for(ii=1;ii<=end;ii++)
{
index = %W_Pki[ii];
xx = xvalue(index,%B);
if( xx<0 ) continue;
nn++;
%W_A[nn] = xx;
%W_B[nn] = %B[index];
};
type -a $(nn) peak/s were found;

if(nn>nPeaks)
{
sort -wd %W %W_B;
set %W -er nPeaks;
sort -w %W %W_A;
};

if(nn>0)
{
win -a %F; // activate FFT wks
wks.addCol(Pki);
wks.addCol(Pkx);
wks.addCol(Pky);
copy %W_Pki %H_Pki;
copy %W_A %H_Pkx;
copy %W_B %H_Pky;
};

win -cd %W; // delete temporary wks

win -a %P; // activate FFT graph

%W=%[%C,'_']; // get name of the FFT wks from active dataplot
if( exist(%W_Pkx,1)==0 ) {
ty -a No peaks!;
return;
};
get %W_Pkx -e nPeaks; // # of peaks
if( nPeaks==0 ) {
ty -a No peaks!;
return;
};
loop (ii,1,nPeaks) {
xx=%W_Pkx[ii]; // pk position
yy=%W_Pky[ii]; // pk height
label -s $(xx); // create text label
doc -e G {
// find its name - will be the first match encountered
if("%[%B,5]"=="text") break;
};
%B.x = xx; // move center of label to X = xx
%B.y = yy + %B.dy; // move center to Y = yy + labelHeight
};

Mike Buess

USA
3037 Posts

Posted - 11/02/2005 :  09:11:51 AM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
Hi Dean,

If linear interpolation is sufficient you can use the Table() function. Not sure where you want to do this but assume your FFT data are in cols Freq(X) and r(Y) of wks FFT1. Create a new wks (Data2), fill A(X) with the new frequency values and run this command...

Data2_B = Table(FFT1_Freq, FFT1_r, Data2_A);

If more sophisticated interpolation is required you can use the Curve Spline Interpolate function here...
http://www.originlab.com/index.aspx?s=8&lm=243

Mike Buess
Origin WebRing Member
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