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SignalUtils.Goertz Function
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The Discrete Fourier transformation (DFT) for a given frequency.

Pascal
function Goertz(const Src: TVec; Freq: double): TCplx; overload;
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Description

Calculates the Discrete Fourier transformation (DFT) for a given frequency. Goertz returns the DFT at the Frequency. Each value of the DFT computed by the Goertzel algorithm takes 2N+2 real multiplications and 4N real additions. FFT computes the DFT with N*log2(N) of real multiplications and additions.

Example

DFT of a single frequency. 

 

uses MtxExpr, Math387, MtxVec, SignalUtils, MtxVecTee, MtxVecEdit;

procedure TForm1.Button1Click(Sender: TObject);
var a: Vector;
begin
    Tone(a,256,5.5/256,0,12.53); //generate a tone
    //And now detect the amplitude at non-integer frequency:
    ShowMessage('Amplitude = ' + SampleToStr(CAbs(Goertz(a,5.5/256))/128));
end;

 

#include "MtxExpr.hpp"
#include "MtxVecEdit.hpp"
#include "MtxVecTee.hpp"
#include "SignalUtils.hpp"

void __fastcall TForm1::BitBtn1Click(TObject *Sender)
{
    sVector a;

    Tone(a,256,5.5/256,0,12.53); //generate a tone with Amplt = 12.53
    //And now detect the amplitude at non-integer frequency:
    ShowMessage("Amplitude = " + SampleToStr(CAbs(Goertz(a,5.5/256))/128));
}
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