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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 /716/CH4/EX4.4/Solved_Ex_4_4.sce | |
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initial commit / add all books
Diffstat (limited to '716/CH4/EX4.4/Solved_Ex_4_4.sce')
| -rwxr-xr-x | 716/CH4/EX4.4/Solved_Ex_4_4.sce | 113 |
1 files changed, 113 insertions, 0 deletions
diff --git a/716/CH4/EX4.4/Solved_Ex_4_4.sce b/716/CH4/EX4.4/Solved_Ex_4_4.sce new file mode 100755 index 000000000..15c699417 --- /dev/null +++ b/716/CH4/EX4.4/Solved_Ex_4_4.sce @@ -0,0 +1,113 @@ +//Solved_Ex.4.4->Determine the Trigonometric form of Fourier Series of the Full Wave Rectified sine wave
+clc;
+clear;
+T=8;//Defining Time Period
+A=2;//Defining Amplitude
+
+t=0:0.01:15;
+w0=2*%pi/T;
+
+function x=f(t),x=A.*abs(sin(t.*w0)) ,endfunction //given full wave rectified continuous signal
+plot(t,f);
+xlabel("time");
+ylabel("x(t)");
+
+
+
+//Check if Even Signal,if yes,then bn=0
+if(f(t)==f(-1*t))
+
+ disp('even');
+ disp('bn=0');
+ function x=f(t),x=A.*abs(sin(t.*w0)) ,endfunction //given signal
+ //Evaluation of a0 & an
+ //Evaluation of a0:
+ a0=4*intg(0,T/2,f)/T; //definite integral of 'f' from 0 to T/2
+ disp(a0,'a0');
+
+ //Evaluation of an:
+ disp('due to convergence,for all odd values of n,a=0');
+ disp('for even values of n,an values are=>');
+ y0=a0/2+zeros(1,length(t));
+ for n=2:2:8 //changing the end value of n,we can get more numbers of an
+ function xn=f1(t),xn=A.*abs(sin(t.*w0)).*cos(n.*w0.*t) ,endfunction
+ an=4*intg(0,T/2,f1)/T;
+ disp(n,'a');
+ disp(an);
+ y0=y0+an.*cos(n*w0.*t);
+ xset('window',1);
+ subplot(2,2,n/2);
+ plot(t,y0);
+ xlabel("time");
+ ylabel("x(t)*cos(n*w0*t) for n=");
+ end
+
+ xset('window',2);
+ plot(t,y0);
+
+ xset('window',2);
+ plot(t,y0);
+
+ else if(f(t)==(-1*f(-1*t)))
+
+ disp('odd signal=>a0=an=0');
+ function x=f(t),x=A.*abs(sin(t.*w0)) ,endfunction //redefining signal
+ //Evaluation of bn=>
+ y0=zeros(1,length(t));
+ for n=1:1:8 //changing the end value of n,we can get more numbers of bn
+ function xn=f1(t),xn=A.*abs(sin(t.*w0)).*sin(n.*w0.*t) ,endfunction
+ bn=4*intg(0,T/2,f1)/T;
+ disp(n,'b');
+ disp(bn);
+ y0=y0+bn.*sin(w0.*n.*t);
+ xset('window',1);
+ subplot(2,4,n);
+ plot(t,y0);
+ xlabel("time");
+ ylabel("x(t)*sin(n*w0*t) for n=");
+ end
+
+ else
+
+ disp('unknown');
+ function xn=f1(t),xn=A.*abs(sin(t.*w0)).*sin(n.*w0.*t) ,endfunction
+ //Evaluation of a0,an & bn
+ //Evaluation of a0:
+ a0=4*intg(0,T/2,f)/T; //definite integral of 'f' from 0 to T/2
+ disp(a0,'a0');
+
+ //Evaluation of an:
+ y0=a0/2+zeros(1,length(t));
+ for n=1:1:8 //changing the end value of n,we can get more numbers of an
+ function xn=f1(t),xn=A.*abs(sin(t.*w0)).*cos(n.*w0.*t) ,endfunction
+ an=4*intg(0,T/2,f1)/T;
+ disp(n,'a');
+ disp(an);
+ y0=y0+an.*cos(n*w0.*t);
+ xset('window',1);
+ subplot(2,2,n/2);
+ plot(t,y0);
+ xlabel("time");
+ ylabel("x(t)*cos(n*w0*t) for n=");
+ end
+
+ //Evaluation of bn=>
+ y0=zeros(1,length(t));
+ for n=1:1:8 //changing the end value of n,we can get more numbers of bn
+ function xn=f1(t),xn=A.*abs(sin(t.*w0)).*sin(n.*w0.*t) ,endfunction
+ bn=4*intg(0,T/2,f1)/T;
+ disp(n,'b');
+ disp(bn);
+ y0=y0+bn.*sin(w0.*n.*t);
+ xset('window',1);
+ subplot(2,4,n);
+ plot(t,y0);
+ xlabel("time");
+ ylabel("x(t)*sin(n*w0*t) for n=");
+ end
+
+end
+end
+
+xset('window',2);
+plot(t,y0);//x(t) signal till 8 harmonics
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