(New page: The definition of time-invariant is If the cascade x(t)--->[time delay by t0]----->[system]-----z(t) ---(1) yields the same output as the reverse of (a);x(t)--->[system]--->[time del...) |
(→6(b)) |
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| + | ==6(a)== | ||
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The definition of time-invariant is | The definition of time-invariant is | ||
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When I substitute into (1) and the reverse order of (1), the results are not the same. Thus, it is not time-invariant. | When I substitute into (1) and the reverse order of (1), the results are not the same. Thus, it is not time-invariant. | ||
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| + | ==6(b)== | ||
| + | Assuming that this is linear. | ||
| + | X[n]=&delta[n-1] | ||
| + | |||
| + | we make the output Y[n]=u[n-1]. To get this result, the input would be X[n]=u[n]. | ||
Latest revision as of 05:32, 12 September 2008
6(a)
The definition of time-invariant is
If the cascade
x(t)--->[time delay by t0]----->[system]-----z(t) ---(1)
yields the same output as the reverse of (a);x(t)--->[system]--->[time delay by t0]---y(t), it is called Time invariant.
When I substitute into (1) and the reverse order of (1), the results are not the same. Thus, it is not time-invariant.
6(b)
Assuming that this is linear. X[n]=&delta[n-1]
we make the output Y[n]=u[n-1]. To get this result, the input would be X[n]=u[n].
