(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)==
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Assuming that this is linear.
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X[n]=&delta[n-1]
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 +
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].

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Abstract algebra continues the conceptual developments of linear algebra, on an even grander scale.

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