From b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b Mon Sep 17 00:00:00 2001
From: priyanka
Date: Wed, 24 Jun 2015 15:03:17 +0530
Subject: initial commit / add all books

---
 2279/CH5/EX5.4/eg_5_4.sce | 35 +++++++++++++++++++++++++++++++++++
 1 file changed, 35 insertions(+)
 create mode 100755 2279/CH5/EX5.4/eg_5_4.sce

(limited to '2279/CH5/EX5.4')

diff --git a/2279/CH5/EX5.4/eg_5_4.sce b/2279/CH5/EX5.4/eg_5_4.sce
new file mode 100755
index 000000000..ee824c03f
--- /dev/null
+++ b/2279/CH5/EX5.4/eg_5_4.sce
@@ -0,0 +1,35 @@
+//Continuous Time Fourier Series Coefficients of 
+//a periodic signal x(t) = 1+sin(6t)+cos(4t)
+clear;
+close;
+clc;
+t = 0:0.01:1;
+xt = 1+sin(6*t)+cos(4*t);
+x_t = 1+sin(6*-t)+cos(4*-t);
+
+//x(t) is expanded according to Euler's theorem
+x=1+(1/2)*exp(%i*4*t)+(1/2)*exp(-%i*4*t)+(1/(2*%i))*exp(%i*6*t)-(1/(2*%i))*exp(-%i*6*t);
+a0=1;
+a2=(1/2)
+a_2=(1/2)
+a3=(1/(2*%i));
+a_3=-(1/(2*%i));
+ak=[zeros(1,5) a_3 a_2 0 a2 a3 zeros(1,5)];
+k=-7:7;
+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== x_t then
+    disp("The Given signal is even. It has no phase spectrum");
+else
+    phase=[zeros(1,6) %pi/2 0 -%pi/2  zeros(1,6)];
+    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
-- 
cgit