ASN10 - Quadrature sampling demonstration: Difference between revisions

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[[Jodi Hodge|Back to my home page]]
[[Jodi Hodge|Back to my home page]]


Assignment was actually done in class by professor.
Assignment was actually done in class by professor. Classmate [[Max Woesner ]] has posted the Octave code and plot.


In Octave we were to plot
[http://www.example.com link title]
<math> \frac{2}{T} \sum_{n=1}^\infty sin\bigg (\frac{2 \pi nt}{T}\bigg) \!</math><br><br>
<br><b>Problem Statement</b><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>


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>
<pre>
clear all;
clear all;
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ylabel('Sampling Waveform')
ylabel('Sampling Waveform')
</pre><br>
</pre><br>

Running the MATLAB script above gives us the following plot.<br>


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

Latest revision as of 17:20, 18 December 2009

Back to my home page

Assignment was actually done in class by professor. Classmate Max Woesner has posted the Octave code and plot.

In Octave we were to 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')



Quadrature sampling.jpg