In order to fully understand what this page is all about, you're going to need some basic understanding of what a periodic function is. To ensure you have this basic knowledge please revisist my earlier submissions for homework one, but a crash course can be found at the website listed below.
Now, let's begin!
1. From sampling the values of a cosine function as described in the matlab code attached, the following periodic function, a simple line y = 1, was produced over the domain defined.
%Jack Williams
%ECE 301 HW2
%September 11th, 2008
clear
clc
p = pi*[0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 6.5 7 7.5 8 8.5 9 9.5 10];
for i = 1:21
for x = p(i)
y(i) = cos(x);
end
end
%Producing a periodic function, a straight horizontal line
%by sampling cosine values at whole period intervals
f=1;
for z = 1:4:21
n(f) = y(z);
g(f) = p(z);
f = f + 1;
end
figure(1);
plot(g,n);
title('A Periodic Function');
xlabel('Time');
%Producing a non-periodic function by sampling cosine values
%at whole integer value intervals
e = 1;
for b = 1:5:100
r(e) = cos(b);
s(e) = b;
e = e + 1;
end
r,s
figure(2);
plot(s,r,'.');
title('A Non-Periodic Function')
An example of a non-periodic function derived from the same cosine function would be the scatter plot that the above code generates in figure and can be seen below.
