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LinearSystems.RationalSubstitution Method ([In] TVec, [In] TVec, double, [In] TVec, [In] TVec)
LinearSystems Class  LinearSystems Members  Dew.Signal.Units Namespace  RationalSubstitution Method  Example
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Zeroes of the original polynomial are stored in z and poles in p vector.

Syntax
C#
Visual Basic
public static void RationalSubstitution([In] TVec z, [In] TVec p, ref double k, [In] TVec nz, [In] TVec Dz);
Remarks

Nz is the nominator and Dz is the denominator of the polynom to substitude the variable with in the original polynomial. The function returns modified z and p. Nz and Dz must have the same length. k is the gain factor (not modified).

Example

Substitute the variable:

z^2 - 2*z + 1 z - 1 ------------------ , z -- > ----- z^2- 4*z + 1 z - 2 The resulting polynomial: -0.5 ------------------ z^2 - 3*z + 1.5
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 num = new Vector(0); Vector den = new Vector(0); Vector den1 = new Vector(0); Vector num1 = new Vector(0); num.SetIt(false,new double[3] {1,-2, 1}); den.SetIt(false,new double[3] {1,-4, 1}); num1.SetIt(false,new double[2] {1,-1}); den1.SetIt(false,new double[2] {1,-2}); LinearSystems.RationalSubstitution(num,den,num1,den1); MtxVecEdit.ViewValues(num,"Num",true); MtxVecEdit.ViewValues(den,"Den",true); // num = [ 0, 0, -0.5] // den = [ 1,-3, 1.5] }
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