Quadrature sampling waveform plot - HW10: Difference between revisions

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(New page: == Max Woesner == Back to my Home Page === Homework #10 - Quadrature sampling waveform plot === <br><b>Problem Statement</b><br><br> Plot <math> \ \frac{2}{T} \sum_{n=1}^...)
 
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Plot <math> \ \frac{2}{T} \sum_{n=1}^\infty sin\bigg(\frac{2 \pi nt}{T}\bigg) \!</math><br><br>
Plot <math> \ \frac{2}{T} \sum_{n=1}^\infty sin\bigg(\frac{2 \pi nt}{T}\bigg) \!</math><br><br>
<b>Solution</b><br>
<b>Solution</b><br>

While we can't sum to infinity in the computer, we can get a close approximation summing over a large enough range of <math> n \!</math><br>

I found summing over <math> n = 1:1000 \!</math> was about the most the computer could handle reasonably.<br>

The following script was written in MATLAB to produce the desired plot. <br>
<pre>
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')
</pre><br>
Running the MATLAB script above gives us the following plot.<br>

[[Image:Quadrature sampling.jpg]]

Revision as of 23:17, 12 November 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