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DSP Master VCL
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The function returns modified z (zeros), p (poles) and k (gain).
Elliptic highpass filter design. The cutoff frequency of a lowpass analog filter prototype transformed in to z domain is obtained with BilinearUnwarp method. The analog prototype filter has a normalized cutoff frequency at 1 rad/sec.
uses MtxExpr, Math387, MtxVec, MtxVecTee, MtxVecEdit,
LinearSystems, IirFilters, SignalUtils;
procedure TForm1.Button1Click(Sender: TObject);
var z,p,num,den,Response: Vector;
Order: integer;
k,Wc: Double;
begin
Order := 4;//design a fourth order filter.
EllipticAnalog(Order,0.1,30,z,p,k); //design analog protype
Bilinear(z,p,k,2); //bilinear with sampling frequency 2Hz.
Wc := 0.5; //desired cutoff at 0.5 Hz.
LowpassToHighpassZ(z,p,k,Wc,BilinearUnwarp(1)); //move cutoff to 0.5 Hz.
ZeroPoleToTransferFun(num,den,z,p,k);
//Alternative:
// ...
// ZeroPoleToTransferFun(num,den,z,p,k);
// LowpassToHighpassZ(num,den,Wc,BW,BilinearUnwarp(1)); //move cutoff to 0.5 Hz.
FrequencyResponse(num,den,Response,64);
DrawIt(Response);
end;
#include "MtxExpr.hpp"
#include "MtxVecEdit.hpp"
#include "MtxVecTee.hpp"
#include "SignalUtils.hpp"
#include "IirFilters.hpp"
#include "LinearSystems.hpp"
void __fastcall TForm1::BitBtn1Click(TObject *Sender)
{
sVector z,p,num,den,Response;
int Order;
double k,Wc;
Order = 4;//design a fourth order filter.
EllipticAnalog(Order,0.1,30,z,p,k); //design analog protype
Bilinear(z,p,k,2); //bilinear with sampling frequency 2Hz.
Wc = 0.5; //desired cutoff at 0.5 Hz.
LowpassToHighpassZ(z,p,k,Wc,BilinearUnwarp(1)); //move cutoff to 0.5 Hz.
ZeroPoleToTransferFun(num,den,z,p,k);
//Alternative:
// ...
// ZeroPoleToTransferFun(num,den,z,p,k);
// LowpassToHighpassZ(num,den,Wc,BW,BilinearUnwarp(1)); //move cutoff to 0.5 Hz.
FrequencyResponse(num,den,Response,64);
DrawIt(Response);
}
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