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== Discrete time periodic signal Example == | == Discrete time periodic signal Example == | ||
| + | [[Image:dts_ECE301Fall2008mboutin.png|200px|thumb|left|Periodic Discrete Time Signal]] | ||
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| − | [ | + | Here the signal shown is <math>x[n]= cos ((5*pi*n)/6)</math> |
| + | |||
| + | *For a signal to be periodic | ||
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| + | <math>cos(wn)= cosw(n+N) = cos(wn+wN)</math> | ||
| + | *i.e. wN must be an integer of 2*pi | ||
| + | |||
| + | <math>wN = 2*pi*m</math> | ||
| + | |||
| + | Here the signal is periodic because <math>{wN}/2*pi</math> = {5*pi}/{6*2*pi} = 5/12 is a rational no. | ||
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| + | == Discrete Time Non-Periodic Signal == | ||
| + | |||
| + | If the ratio of w/2*pi is an irrational no. then the signal would be classified as non-periodic | ||
Latest revision as of 10:58, 5 September 2008
Discrete time periodic signal Example
Here the signal shown is $ x[n]= cos ((5*pi*n)/6) $
- For a signal to be periodic
$ cos(wn)= cosw(n+N) = cos(wn+wN) $
- i.e. wN must be an integer of 2*pi
$ wN = 2*pi*m $
Here the signal is periodic because $ {wN}/2*pi $ = {5*pi}/{6*2*pi} = 5/12 is a rational no.
Discrete Time Non-Periodic Signal
If the ratio of w/2*pi is an irrational no. then the signal would be classified as non-periodic
