(→Linearity) |
(→Linearity) |
||
| Line 10: | Line 10: | ||
x(t) --> SYSTEM --> t*y(-t) | x(t) --> SYSTEM --> t*y(-t) | ||
| + | |||
Therefore, if we put the change the input from x(t) (above) to cos(2t), then it should output the signal t*cos(-2t). | Therefore, if we put the change the input from x(t) (above) to cos(2t), then it should output the signal t*cos(-2t). | ||
Revision as of 06:57, 15 September 2008
Linearity
If a linear system has a response to exp(2jt) of t*exp(-2jt) and a response to exp(-2jt) of t*exp(2jt), then it's response to cos(2t) must be t*cos(-2t).
Explanation:
The system seems to have the following characteristics:
x(t) --> SYSTEM --> t*y(-t)
Therefore, if we put the change the input from x(t) (above) to cos(2t), then it should output the signal t*cos(-2t).
