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| author | priyanka | 2015-06-24 15:03:17 +0530 |
|---|---|---|
| committer | priyanka | 2015-06-24 15:03:17 +0530 |
| commit | b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b (patch) | |
| tree | ab291cffc65280e58ac82470ba63fbcca7805165 /830/CH4/EX4.3.4 | |
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initial commit / add all books
Diffstat (limited to '830/CH4/EX4.3.4')
| -rwxr-xr-x | 830/CH4/EX4.3.4/Convolution_Property_DTFT.sce | 68 |
1 files changed, 68 insertions, 0 deletions
diff --git a/830/CH4/EX4.3.4/Convolution_Property_DTFT.sce b/830/CH4/EX4.3.4/Convolution_Property_DTFT.sce new file mode 100755 index 000000000..bce79c0b8 --- /dev/null +++ b/830/CH4/EX4.3.4/Convolution_Property_DTFT.sce @@ -0,0 +1,68 @@ +//Graphical//
+//Example 4.3.4
+//Convolution Property Example
+//x1(n)=x2(n)= [1,1,1]
+clear;
+clc;
+close;
+n =-1:1;
+x1 = [1,1,1];
+x2 = x1;
+//Discrete-time Fourier transform
+K = 500;
+k = 0:1:K;
+w = %pi*k/K;
+X1 = x1 * exp(-sqrt(-1)*n'*w);
+X2 = x2 * exp(-sqrt(-1)*n'*w);
+w = [-mtlb_fliplr(w), w(2:K+1)]; // Omega from -w to w
+X1 = [mtlb_fliplr(X1), X1(2:K+1)];
+X2 = [mtlb_fliplr(X2), X2(2:K+1)];
+Freq_X1 = real(X1);
+Freq_X2 = real(X2);
+X = X1.*X2;
+K1 = length(X)
+k1 = 0:1:K1;
+w1 = %pi*k1/K1;
+w1 = [-2*mtlb_fliplr(w), 2*w];
+X = [mtlb_fliplr(X), X(1:K1)];
+Freq_X = real(X);
+//Inv_X = X.*exp(sqrt(-1)*n'*w)
+x = convol(x1,x2)
+//Plotting Magitude Responses
+figure(1)
+a =gca();
+a.x_location = 'middle'
+a.y_location = 'middle'
+a.x_label
+a.y_label
+plot2d(w/%pi,Freq_X1)
+x_label =a.x_label
+y_label = a.y_label
+x_label.text =' Frequency in Radians'
+y_label.text =' X1(w)'
+//xlabel('Frequency in Radians')
+//ylabel('X1(w)')
+title('Frequency Response')
+figure(2)
+a =gca();
+a.x_location = 'middle'
+a.y_location = 'middle'
+a.x_label
+a.y_label
+plot2d(w/%pi,Freq_X2)
+x_label =a.x_label
+y_label = a.y_label
+x_label.text =' Frequency in Radians'
+y_label.text =' X2(w)'
+title('Frequency Response')
+figure(3)
+a =gca();
+a.y_location = 'middle'
+a.x_label
+a.y_label
+plot2d(w1/(2*%pi),Freq_X)
+x_label =a.x_label
+y_label = a.y_label
+x_label.text =' Frequency in Radians'
+y_label.text =' X(w)'
+title('Frequency Response')
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