Quadrature sampling waveform plot - HW10: Difference between revisions

From Class Wiki
Jump to navigation Jump to search
No edit summary
No edit summary
 
Line 35: Line 35:
Running the MATLAB script above gives us the following plot.<br>
Running the MATLAB script above gives us the following plot.<br>


[[Image:Quadrature sampling.jpg]]
[[Image:Quadrature sampling.jpg]]<br>

Summing over a smaller range of <math> n \!</math> would look like the following.<br>
<pre>
clear all;
close all;
sum = 0;
T = 1;
t = -T:0.001:T;
N = 100;
for n = 1:N;
if n==0
h = 0;
else
h = 2/T;
end
sum = sum+h*sin(2*pi*n*t/T);
end
plot(t,sum)
title('Quadrature Sampling Waveform')
xlabel('time(T)')
ylabel('Sampling Waveform')
</pre><br>

[[Image:Quadrature sampling2.jpg]]

Latest revision as of 23:31, 1 December 2009

Max Woesner

Back to my Home Page

Homework #10 - Quadrature sampling waveform plot


Problem Statement

Plot

Solution

While we can't sum to infinity in the computer, we can get a close approximation summing over a large enough range of

I found summing over was about the most the computer could handle reasonably.

The following script was written in MATLAB to produce the desired plot.

clear all;
close all;
sum = 0;
T = 1;
t = -T:0.0001:T;
N = 1000;
for n = 1:N;
     if n==0
          h = 0;
     else
          h = 2/T;
     end
     sum = sum+h*sin(2*pi*n*t/T);
end
plot(t,sum)
title('Quadrature Sampling Waveform')
xlabel('time(T)')
ylabel('Sampling Waveform')


Running the MATLAB script above gives us the following plot.

Quadrature sampling.jpg

Summing over a smaller range of would look like the following.

clear all;
close all;
sum = 0;
T = 1;
t = -T:0.001:T;
N = 100;
for n = 1:N;
     if n==0
          h = 0;
     else
          h = 2/T;
     end
     sum = sum+h*sin(2*pi*n*t/T);
end
plot(t,sum)
title('Quadrature Sampling Waveform')
xlabel('time(T)')
ylabel('Sampling Waveform')


Quadrature sampling2.jpg