| Line 1: | Line 1: | ||
| − | The system is | + | The system is time invariant |
Let time delay = t | Let time delay = t | ||
| Line 18: | Line 18: | ||
equals to Yk[n]=<math>(k+1)^2</math> δ[n-(k+1)]->time delay | equals to Yk[n]=<math>(k+1)^2</math> δ[n-(k+1)]->time delay | ||
| + | |||
| + | equals to Y(k+t)[n]=<math>(k+t+1)^2</math> δ[n-(k+t+1)] | ||
| + | |||
| + | yields the same result | ||
Revision as of 16:38, 10 September 2008
The system is time invariant
Let time delay = t
then
Xk[n]=δ[n-k] -> time delay -> system
equals to X(k+t)[n]=δ[n-(k+t)]->system
equals to X(k+t)[n]=δ[n-k-t]->system
equals to Y(k+t)[n]=$ (k+t+1)^2 $ δ[n-(k+t+1)]
while
Xk[n]=δ[n-k] -> system -> time delay
equals to Yk[n]=$ (k+1)^2 $ δ[n-(k+1)]->time delay
equals to Y(k+t)[n]=$ (k+t+1)^2 $ δ[n-(k+t+1)]
yields the same result
