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| author | priyanka | 2015-06-24 15:03:17 +0530 |
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| committer | priyanka | 2015-06-24 15:03:17 +0530 |
| commit | b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b (patch) | |
| tree | ab291cffc65280e58ac82470ba63fbcca7805165 /1574/CH1/EX1.9 | |
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initial commit / add all books
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diff --git a/1574/CH1/EX1.9/Result_of_Chapter_1_Ex1_9.jpeg b/1574/CH1/EX1.9/Result_of_Chapter_1_Ex1_9.jpeg Binary files differnew file mode 100755 index 000000000..a50a46367 --- /dev/null +++ b/1574/CH1/EX1.9/Result_of_Chapter_1_Ex1_9.jpeg diff --git a/1574/CH1/EX1.9/Result_of_Chapter_1_Ex1_9_b.jpeg b/1574/CH1/EX1.9/Result_of_Chapter_1_Ex1_9_b.jpeg Binary files differnew file mode 100755 index 000000000..5b1755a6b --- /dev/null +++ b/1574/CH1/EX1.9/Result_of_Chapter_1_Ex1_9_b.jpeg diff --git a/1574/CH1/EX1.9/Signals_Ex_1_9.sce b/1574/CH1/EX1.9/Signals_Ex_1_9.sce new file mode 100755 index 000000000..c22943040 --- /dev/null +++ b/1574/CH1/EX1.9/Signals_Ex_1_9.sce @@ -0,0 +1,84 @@ +clc; clear;close;
+//Chapter1: Signals
+//Example 1.9a,page no12
+//Given:
+// Analog Signal
+A =1; // Amplitude
+Dt = 0.005;
+t = 0: Dt :10;
+xt = exp(-A*t);
+// Continuous time Fourier Transform
+Wmax =2*%pi*1; // Analog Frequency = 1Hz
+K = 4;
+k = 0:(K/1000):K;
+W = k* Wmax /K;
+XW = xt*exp(-sqrt(-1)*t'*W)*Dt
+XW_Mag =abs(XW);
+W = [-mtlb_fliplr(W),W(2:1001)]; // Omega from -Wmax to Wmax
+XW_Mag=[mtlb_fliplr(XW_Mag ),XW_Mag(2:1001)];
+[XW_Phase ,db] = phasemag (XW);
+XW_Phase = [-mtlb_fliplr( XW_Phase ),XW_Phase(2:1001)];
+// Plotting Continuous Time Signal
+figure
+a=gca();
+a.y_location = "origin";
+plot(t,xt);
+xlabel( 't in sec .');
+ylabel(' x(t) ')
+title(' Continuous Time Signal ' )
+figure
+// Plotting Magnitude Response of CTS
+subplot (2 ,2 ,1);
+a = gca ();
+a.y_location = "origin";
+plot2d(W, XW_Mag,style=5 );
+xlabel ( ' Frequency in Radians / Seconds---> W' );
+ylabel ( ' abs (X(jW) ) ' )
+title ( 'Magnitude Response (CTFT) ' )
+// Plotting Phase Reponse of CTS
+subplot (2 ,2 ,2);
+a =gca();
+a.y_location="origin";
+a.x_location="origin";
+plot2d(W, XW_Phase *%pi/180,style=3);
+xlabel(' Frequency in Radians / Seconds---> W');
+ylabel('<X(jW) ')
+title(' Phase Response (CTFT)in Radians' )
+mprintf('|F(w)|= 1/sqrt(a^2+w^2) and\n Theta(w)=-atan(w/a)')
+
+//Chapter1: Signals
+//Example 1.9b,page no12
+//Given:
+// Analog Signal
+
+
+A=1;// Amplitude
+Dt=0.005;
+t1=-4.5:Dt:4.5;
+xt1=exp(-A*abs(t1));
+// Continuous time Fourier Transform
+Wmax1 =2*%pi*1;// Analog Frequency = 1Hz
+K=4;
+k=0:(K/1000):K;
+W1=k*Wmax1/K;
+XW1=xt1*exp(-sqrt(-1)*t1'*W1)*Dt;
+XW1=real(XW1);
+W1=[-mtlb_fliplr(W1), W1(2:1001) ]; // Omega from -Wmax to Wmax
+XW1=[ mtlb_fliplr(XW1), XW1(2:1001) ];
+//subplot(1 ,1 ,1)
+subplot(2 ,2 ,3);
+b=gca();
+b.y_location = "origin";
+plot2d(t,xt,3);
+xlabel('t in sec.');
+ylabel('x(t)')
+title(' Continuous Time Signal')
+subplot(2 ,2 ,4);
+b =gca();
+b.y_location = "origin";
+plot2d(W1,XW1,5);
+xlabel('Frequency in Radians / Seconds W');
+ylabel('X(jW)')
+title('Continuous time Fourier Transform ')
+
+mprintf('|F(w)|= 2*a/sqrt(a^2+w^2) and\n Theta(w)=0')
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