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diff --git a/Digital_Signal_Processing_by_S_Salivahanan/4-Z_Transforms.ipynb b/Digital_Signal_Processing_by_S_Salivahanan/4-Z_Transforms.ipynb new file mode 100644 index 0000000..84a06bb --- /dev/null +++ b/Digital_Signal_Processing_by_S_Salivahanan/4-Z_Transforms.ipynb @@ -0,0 +1,229 @@ +{ +"cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chapter 4: Z Transforms" + ] + }, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 4.13: Convolution.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"//Example 4.13\n", +"\n", +"clc;clear;close;\n", +"z=poly(0,'z');\n", +"x1=[4 -2 1];n1=0:length(x1)-1;\n", +"X1=x1*(z^-n1)';\n", +"x2=[1 1 1 1 1];n2=0:length(x2)-1;\n", +"X2=x2*(z^-n2)';\n", +"X3=X1*X2;\n", +"l=coeff(numer(X3));\n", +"x3=l(:,$:-1:1);\n", +"disp(X1,'x1(n)={4,-2,1} X1(z)=');\n", +"disp(X2,'x2(n)={1,1,1,1,1} X2(z)=');\n", +"disp(X3,'Z transform of convolution of the two signals X3(z)=');\n", +"disp(x3,'Convolution result of the two signals= ')" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 4.14: Convolution.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"//Example 4.14\n", +"\n", +"clc;clear;close;\n", +"z=poly(0,'z');\n", +"x1=[2 1 0 0.5];n1=0:length(x1)-1;\n", +"X1=x1*(z^-n1)';\n", +"x2=[2 2 1 1];n2=0:length(x2)-1;\n", +"X2=x2*(z^-n2)';\n", +"X3=X1*X2;\n", +"l=coeff(numer(X3));\n", +"x3=l(:,$:-1:1);\n", +"disp(X1,'x1(n)={2,1,0,0.5} X1(z)=');\n", +"disp(X2,'x2(n)={2,2,1,1} X2(z)=');\n", +"disp(X3,'Z transform of convolution of the two signals X3(z)=');\n", +"disp(x3,'Convolution result of the two signals= ')" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 4.16: Cross_correlatio.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"//Example 4.16\n", +"\n", +"clc;clear;close;\n", +"z=poly(0,'z');\n", +"x1=[1 2 3 4];n1=0:length(x1)-1;\n", +"X1=x1*(z^-n1)';\n", +"x2=[4 3 2 1];n2=0:length(x2)-1;\n", +"X2=x2*(z^-n2)';\n", +"X2_=x2*(z^n2)';\n", +"X3=X1*X2_;\n", +"l=coeff(numer(X3));\n", +"x3=l(:,$:-1:1);\n", +"disp(X1,'x1(n)={4,-2,1} X1(z)=');\n", +"disp(X2,'x2(n)={4,-2,1} X2(z)=');\n", +"disp(X3,'Z transform of cross crrelation of the two signals X3(z)=');\n", +"disp(x3,'Cross correlation result of the two signals= ')" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 4.19: System_response.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"//Example 4.19\n", +"\n", +"clc;clear;close;\n", +"z=poly(0,'z');\n", +"h=[1 2 3];n1=0:length(h)-1;\n", +"H=h*(z^-n1)';\n", +"y=[1 1 2 -1 3];n2=0:length(y)-1;\n", +"Y=y*(z^-n2)';\n", +"X=Y/H;\n", +"l=coeff(numer(X));\n", +"x=l(:,$:-1:1);\n", +"disp(H,'h(n)={1,2,3} H(z)=');\n", +"disp(Y,'y(n)={1,1,2,-1,3} Y(z)=');\n", +"disp(X,'Z transform of input sequence X(z)=');\n", +"disp(x,'Inpput Sequence = ')" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 4.2: Z_transform.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"//Example 4.2\n", +"\n", +"clc;clear;close;\n", +"z=poly(0,'z');\n", +"x1=[3 1 2 5 7 0 1];n1=-3:3;\n", +"X1=x1*(z^-n1)';\n", +"x2=[2 4 5 7 0 1 2];n2=-2:4;\n", +"X2=x2*(z^-n2)';\n", +"x3=[1 2 5 4 0 1]; n3=0:5;\n", +"X3=x3*(z^-n3)';\n", +"x4=[0 0 1 2 5 4 0 1];n4=0:7;\n", +"X4=x4*(z^-n4)';\n", +"X5=z^0;\n", +"X6=z^-5;\n", +"X7=z^5;\n", +"disp(X1,'x1(n)={3,1,2,5,7,0,1} X1(z)=');\n", +"disp(X2,'x2(n)={2,4,5,7,0,1,2} X2(z)=');\n", +"disp(X3,'x3(n)={1,2,5,4,0,1} X3(z)=');\n", +"disp(X4,'x4(n)={0,0,1,2,5,4,0,1} X4(z)=');\n", +"disp(X5,'x5(n)=delta(n) X5(z)=');\n", +"disp(X6,'x6(n)=delta(n-5) X6(z)=');\n", +"disp(X7,'x7(n)=delta(n+5) X7(z)=');" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 4.4: Z_transform.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"//Example 4.4\n", +"\n", +"clc;clear;close;\n", +"z=poly(0,'z');\n", +"x=[1 3 0 0 6 -1];n=-1:4;\n", +"X=x*(z^-n)';\n", +"disp(X,'x(n)={1,3,0,0,6,-1} X(z)=');" + ] + } +], +"metadata": { + "kernelspec": { + "display_name": "Scilab", + "language": "scilab", + "name": "scilab" + }, + "language_info": { + "file_extension": ".sce", + "help_links": [ + { + "text": "MetaKernel Magics", + "url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md" + } + ], + "mimetype": "text/x-octave", + "name": "scilab", + "version": "0.7.1" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} |