IIRFilters.ChebyshevIIOrder Method

Estimate the order of a Chebyshev type II IIR filter.

public int ChebyshevIIOrder(double[] BEdges, double PassRipple, double StopRipple, TFilterType FilterType, ref double[] CutoffFreq, bool Analog);

Remarks

Returns the order of the Chebyshev type II filter. Bedg array must contain the band edges of the transition region(s) sorted in ascending order. PassRipple defines the ripple of the passband and StopRipple defines the ripple of the stopband. The length of the CutoffFreq array must be equal to one half of the length of the BEdg array and must match the specified FilterType. The routine returns the estimated order as a result and fill's the CutoffFreq array. This array can then be passed to the ChebyshevIIFilter routine.

Related Topics

ChebyshevIIFilter

C# Example

Design an analog bandpass filter with transition band between 1..3 and 6..9 rad/sec and with at least 50dB attenuation in the stopband and. The passband should not have more then 0.2dB ripple.

using Dew.Math;
using Dew.Math.Editors;
using Dew.Math.Units;
using Dew.Signal;
using Dew.Signal.Units;
using Dew.Math.Tee;
using Dew.Signal.Tee;

private void button1_Click(object sender, EventArgs e)
{
    Vector z = new Vector(0);
    Vector p = new Vector(0);
    Vector num = new Vector(0);
    Vector den = new Vector(0);
    Vector Response = new Vector(0);
    Vector FreqFr = new Vector(0);
    double Wc,k;
    double[] WcArray = new double[2];
    int Order; //design a fifth order filter.

    Order = IIRFilters.ChebyshevIIOrder(new double[4] { 1, 3, 6, 9 }, 0.2, 50, TFilterType.ftBandPass, ref WcArray, true);  //design analog protype
    IIRFilters.ChebyshevIIAnalog(Order, 50, z, p, out k);  //design analog protype
    Wc = Math.Sqrt(WcArray[0] * WcArray[1]); //modified 3dB frequency
    double Bw = WcArray[1] - WcArray[0];
    LinearSystems.LowpassToBandpass(z, p, ref k, Wc, Bw);  //frequency transformation in s-domain
    LinearSystems.ZeroPoleToTransferFun(num, den, z, p, k);
    FreqFr.Length = 1000;
    SignalUtils.LogRamp(FreqFr, -1, 1);

    SignalUtils.FrequencyResponseS(num, den, FreqFr, Response, 0);
    TeeChart.DrawIt(Response, "Frequency response", false);
}