(New page: ===Part A=== Basically, since all of the examples are the same i chose a random person and that random person was Nicholas Block and he had cos(2t). x[n]=cos(2n) is not periodic because t...) |
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x[n]=cos(2n) is not periodic because there needs to be a factor of 2pi and since n is an integer, there is not going to be a period. | x[n]=cos(2n) is not periodic because there needs to be a factor of 2pi and since n is an integer, there is not going to be a period. | ||
| − | x(t)=cos(2t) is periodic everytime t has a factor of 2pi. | + | x(t)=cos(2t) is periodic everytime t has a factor of pi. |
| + | ===Part B=== | ||
| + | Cos[n] is periodic in discrete time when it is sampled in intervals of 2pi. It satisfies the equation: a[n+T]=a[n] for an integer T. | ||
Latest revision as of 14:44, 12 September 2008
Part A
Basically, since all of the examples are the same i chose a random person and that random person was Nicholas Block and he had cos(2t).
x[n]=cos(2n) is not periodic because there needs to be a factor of 2pi and since n is an integer, there is not going to be a period.
x(t)=cos(2t) is periodic everytime t has a factor of pi.
Part B
Cos[n] is periodic in discrete time when it is sampled in intervals of 2pi. It satisfies the equation: a[n+T]=a[n] for an integer T.
