(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) |
||
Line 2: | Line 2: | ||
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. | ||
+ | |||
+ | |||
+ | ---- | ||
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 15:20, 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.