LinearSystems.TransferFunToZeroPole Method

Convert transfer function from numerator-denominator to zero-pole form.

Syntax

Visual Basic

public static void TransferFunToZeroPole([In] TVec z, [In] TVec p, out double k, [In] TVec Num, [In] TVec Den);

Remarks

Convert a transfer function defined with numerator Num and denominator Den in to its zero-pole form with zeros Z, poles P and gain K. The routine calls PolyRoots routine from the Polynoms unit. Numerator and denominator can be real or complex.

A rational polynomial can be converted to zero pole form by finding the roots of the numerator and denominator:

x^2 - 7*x + 12 -------------- x^2 - 3*x + 2

Zero pole form:

(x - 3)*(x - 4) --------------- (y - 2)*(y - 1)

Example

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(3); Vector den = new Vector(3); double k; num.Values[0] = 1; num.Values[1] = -7; num.Values[2] = 12; den.Values[0] = 1; den.Values[1] = -3; den.Values[2] = 2; k = 1; LinearSystems.TransferFunToZeroPole(z, p, out k, num, den); MtxVecEdit.ViewValues(z,"Zeros",true); MtxVecEdit.ViewValues(p,"Poles",true); // z = [4 , 3] // p = [2 , 1] // k = num[0]/den[0] = 1; }

Group

LinearSystems Methods

Links

LinearSystems Class, LinearSystems Members, Dew.Signal.Units Namespace, LinearSystems Methods, Example, See Also

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