(New page: ==Part 1== ==Part 2==) |
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==Part 1== | ==Part 1== | ||
| + | Choose the signal <math>x(t)=cos(t)</math> which is periodic. | ||
| + | [[image:ctsignal.fig|300px|frame|center]] | ||
| + | Sampling ever interger yields | ||
| + | [[image:dtsignal.jpg|300px|frame|center]] | ||
| + | This is <math>x[n]=cos(n)</math> | ||
| + | |||
| + | but sampling at a frequency of <math>\pi/4</math> yields | ||
| + | [[image:dtsignal1.jpg|300px|frame|center]] | ||
| + | This is <math>x[n]=cos(\pi/4n)</math> | ||
==Part 2== | ==Part 2== | ||
Revision as of 12:14, 12 September 2008
Part 1
Choose the signal $ x(t)=cos(t) $ which is periodic.
File:Ctsignal.fig
300px
Sampling ever interger yields
File:Dtsignal.jpg
300px
This is $ x[n]=cos(n) $
but sampling at a frequency of $ \pi/4 $ yields
File:Dtsignal1.jpg
300px
This is $ x[n]=cos(\pi/4n) $
