(New page: == Linearity and Time Invariance == As can be noticed in the table, the value of k is equal to the shift in time. After studying this table for a time, it becomes quite apparent that the ...)
 
(Linearity and Time Invariance)
 
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As can be noticed in the table, the value of k is equal to the shift in time. After studying this table for a time, it becomes quite apparent that the function is not time invariant. This is due to the fact that, as time increases, so does k and therefore so does the amplitude of the function.
 
As can be noticed in the table, the value of k is equal to the shift in time. After studying this table for a time, it becomes quite apparent that the function is not time invariant. This is due to the fact that, as time increases, so does k and therefore so does the amplitude of the function.
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If the system is linear, then inputting the unit step function <math> u[n] </math> would yield the output.
 
If the system is linear, then inputting the unit step function <math> u[n] </math> would yield the output.

Latest revision as of 16:20, 12 September 2008

Linearity and Time Invariance

As can be noticed in the table, the value of k is equal to the shift in time. After studying this table for a time, it becomes quite apparent that the function is not time invariant. This is due to the fact that, as time increases, so does k and therefore so does the amplitude of the function.



If the system is linear, then inputting the unit step function $ u[n] $ would yield the output.

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

Dr. Paul Garrett