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Note how much more exciting <math>sin(t)-cos(2t)</math> is than <math>sin(t)</math>. Here the sampling frequency is very small, on the order of <math>10^4</math> | Note how much more exciting <math>sin(t)-cos(2t)</math> is than <math>sin(t)</math>. Here the sampling frequency is very small, on the order of <math>10^4</math> | ||
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[[Image:HW2A3_ECE301Fall2008mboutin.jpg]] | [[Image:HW2A3_ECE301Fall2008mboutin.jpg]] | ||
Revision as of 14:55, 12 September 2008
Part A: Periodic Signals Revisited...Periodic Signals Revisited...Periodic Signals Revisited
As we discussed in class, a function $ x(t) $ is periodic if $ x(t+T)= x(t) $ , where T is a multiple of the fundamental period, or smallest period.
In the first homework, I explained how $ sin(t) $ was periodic. However, because that is rather boring, let's take a look at $ sin(t)-cos(2t) $.
Note how much more exciting $ sin(t)-cos(2t) $ is than $ sin(t) $. Here the sampling frequency is very small, on the order of $ 10^4 $
