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== Part 1 == | == Part 1 == | ||
| + | The function was chosen at random from HW1: [[HW1.4 Hang Zhang - Periodic vs Non-period Functions_ECE301Fall2008mboutin]] | ||
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| + | <math>\,x(t)=2cos(2\pi t)\,</math> | ||
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| + | '''Periodic Signal in DT:''' | ||
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| + | If sampled at <math>period=0.1</math>, the function | ||
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| + | <math>\,y[n]=x[\frac{n}{10}]=2cos(\frac{2\pi n}{10})\,</math> | ||
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| + | would be periodic, since | ||
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| + | <math>\,y[n]=y[n+10N], \forall N\in Z\,</math> | ||
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| + | TODO: Add MATLAB plot of the DT function | ||
== Part 2 == | == Part 2 == | ||
Revision as of 10:01, 11 September 2008
Part 1
The function was chosen at random from HW1: HW1.4 Hang Zhang - Periodic vs Non-period Functions_ECE301Fall2008mboutin
$ \,x(t)=2cos(2\pi t)\, $
Periodic Signal in DT:
If sampled at $ period=0.1 $, the function
$ \,y[n]=x[\frac{n}{10}]=2cos(\frac{2\pi n}{10})\, $
would be periodic, since
$ \,y[n]=y[n+10N], \forall N\in Z\, $
TODO: Add MATLAB plot of the DT function
