initial commit / add all books

1 files changed, 34 insertions, 0 deletions

diff --git a/2279/CH5/EX5.3/Ex5_3.sce b/2279/CH5/EX5.3/Ex5_3.sce
new file mode 100644
index 000000000..f3de06d08
--- /dev/null
+++ b/2279/CH5/EX5.3/Ex5_3.sce
@@ -0,0 +1,34 @@
+//Continuous Time Fourier Series Coefficients of 
+//a periodic signal x(t) = 5*cos((%pi/2*t)+(%pi/6))
+clear;
+close;
+clc;
+t = 0:0.01:1;
+T = 1;
+Wo = 2*%pi/T;
+xt = cos((%pi/2*t)+(%pi/6))
+x1t=cos((%pi/2*-t)+(%pi/6))
+
+//x(t) is expanded according to Euler's theorem
+x=5/2*(exp(%i*(%pi/2*t+%pi/6))+exp(-%i*(%pi/2*t+%pi/6)));
+a1=5/2*exp(%i*%pi/6);
+a_1=5/2*exp(-%i*%pi/6);
+ak=[zeros(1,5) a_1 0 a1 zeros(1,5)];
+k=-6:6;
+disp("The fourier series coefficients are...")
+disp(ak)
+disp("magnitude of Fourier series coefficient")
+disp(abs(ak))
+subplot(2,1,1)
+plot(k,abs(ak),'.');
+xtitle("Magnitude Spectrum","k","|ak|");
+if xt== x1t then
+    disp("The Given signal is even. It has no phase spectrum");
+else
+    phase=[zeros(1,5) atan(imag(a_1)/real(a_1)) 0 atan(imag(a1)/real(a1))  zeros(1,5)];
+    disp("Phase of Fourier series coefficient in radians")
+    disp(phase)
+    subplot(2,1,2)
+    plot(k,phase,'.');
+    xtitle("Phase Spectrum","k","ak in radians");
+end