(New page: ==a)Time-Invariant?== It is almost trivial to show that the system is time-invariant because all it does is time shift and magnitude scale the input (there is no frequency scaling). If the...)
 
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==b)Input to Output==
 
==b)Input to Output==
<math> X[n]=? \Longrightarrow Y[n]=u[n-1]</math>
+
<math> X[n]=? \longrightarrow Y[n]=u[n-1]</math>

Revision as of 08:07, 11 September 2008

a)Time-Invariant?

It is almost trivial to show that the system is time-invariant because all it does is time shift and magnitude scale the input (there is no frequency scaling). If the input itself is shifted, this same shift will appear in the output. The same result could be obtained by shifting the output instead of the input. This is, by definition, time-invariance.

b)Input to Output

$ X[n]=? \longrightarrow Y[n]=u[n-1] $

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

Dr. Paul Garrett