From 7f60ea012dd2524dae921a2a35adbf7ef21f2bb6 Mon Sep 17 00:00:00 2001
From: prashantsinalkar
Date: Tue, 10 Oct 2017 12:27:19 +0530
Subject: initial commit / add all books

---
 2279/CH5/EX5.1/Ex5_1.sce | 56 ++++++++++++++++++++++++++++++++++++++++++++++++
 1 file changed, 56 insertions(+)
 create mode 100644 2279/CH5/EX5.1/Ex5_1.sce

(limited to '2279/CH5/EX5.1/Ex5_1.sce')

diff --git a/2279/CH5/EX5.1/Ex5_1.sce b/2279/CH5/EX5.1/Ex5_1.sce
new file mode 100644
index 000000000..cd9426dd7
--- /dev/null
+++ b/2279/CH5/EX5.1/Ex5_1.sce
@@ -0,0 +1,56 @@
+
+
+
+
+
+//Continuous Time Fourier Series Coefficients of 
+//a periodic signal x(t) = sin(2*Wot)
+clear;
+close;
+clc;
+t = 0:0.01:1;
+T = 1;
+Wo = 2*%pi/T;
+xt = sin(2*Wo*t);
+for k =0:4
+  C(k+1,:) = exp(-sqrt(-1)*Wo*t.*k);
+  a(k+1) = xt*C(k+1,:)'/length(t);
+  if(abs(a(k+1))<=0.01) 
+    a(k+1)=0;
+  end
+end
+a =a';
+ak = [-a,a(2:$)]
+for i=1:length(ak)
+    if real(ak(i))== 0 then
+        phase(i)=0;
+    else
+         if i<length(ak)/2 then
+            phase(i)= atan(imag(ak(i))/real(ak(i))); 
+         else
+            phase(i)= -atan(imag(ak(i))/real(ak(i)));
+         end 
+    end
+end
+disp("The fourier series coefficients are...")
+disp(ak)
+disp("magnitude of Fourier series coefficient")
+disp(abs(ak))
+disp("Phase of Fourier series coefficient in radians")
+disp(phase)
+n=-4:4;
+subplot(2,1,1)
+plot(n,abs(ak),'.');
+xtitle("|ak|","k","|ak|");
+subplot(2,1,2)
+for i=1:length(n)
+    if n(i)== -2 then
+    phase(i)=3.14/2;
+    elseif n(i)== 2 then
+    phase(i)= -3.14/2;
+    else
+    phase(i)=0;
+end
+end
+plot(n,phase,'.');
+xtitle("/_ak","k","/_ak");
-- 
cgit