Difference between revisions of "HW2-B Nicholas Browdues ECE301Fall2008mboutin" - Rhea

Latest revision as of 08:05, 10 September 2008

This is the original code:

F0 = 13;
T0 = 1/F0;
Ts = 0.07;
t  = 0:Ts:13*T0;
x  = real(exp(j*(2*pi*F0*t-pi/2)));
plot(t,x)

It outputs:

Original Plot

This code is wrong because the sampling frequency, Ts, is to large to produce an accurate recreation of the signal. I fixed this bug by reducing the sampling time by a factor of 20.

F0 = 13;
T0 = 1/F0;
Ts = .05*T0;
t  = 0:Ts:13*T0;
x  = real(exp(j*(2*pi*F0*t-pi/2)));
plot(t,x)

Now the output looks like this:

Fixed Plot

@@ Line 9: / Line 9: @@
 x  = real(exp(j*(2*pi*F0*t-pi/2)));
 plot(t,x)
-<\pre>
+</pre>
-This code is wrong because the sampling frequency, Ts, is to large to get an accurate recreation of the
+It outputs:
-signal. By Nyquist's theorem, the descrete sampling frequency must be twice the continuous frequency in order to avoid unwanted artifacts. In other words Ts=.5*T0.
+[[Image: Ece301_Hw2B_messedUP.jpg _ECE301Fall2008mboutin| Original Plot]]
+This code is wrong because the sampling frequency, Ts, is to large to produce an accurate recreation of the
+signal. I fixed this bug by reducing the sampling time by a factor of 20.
 <pre>
 F0 = 13;
 T0 = 1/F0;
-Ts = .5*T0;
+Ts = .05*T0;
 t  = 0:Ts:13*T0;
 x  = real(exp(j*(2*pi*F0*t-pi/2)));
 plot(t,x)
-<\pre>
+</pre>
-Explain what the bug is, and modify the above code to fix this bug. Post your answer on a Rhea page.
+Now the output looks like this:
+[[Image: Ece301_Hw2B.jpg _ECE301Fall2008mboutin| Fixed Plot]]

Difference between revisions of "HW2-B Nicholas Browdues ECE301Fall2008mboutin" - Rhea

Latest revision as of 08:05, 10 September 2008

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