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== UNIT IMPULSE RESPONSE OF SYSTEM == | == UNIT IMPULSE RESPONSE OF SYSTEM == | ||
| − | To find the unit impulse response of the system, we set <math> | + | To find the unit impulse response of the system, we set <math>x(t) = \delta(t)\! </math>. Then we obtain the following unit impulse response: |
<math>h(t) = \frac{7\delta(t)}{3} + \frac{9\delta(t+8)}{2}\!</math> | <math>h(t) = \frac{7\delta(t)}{3} + \frac{9\delta(t+8)}{2}\!</math> | ||
Revision as of 11:19, 25 September 2008
CT LTI SYSTEM
I chose the following continusous-time linear time invariant system:
$ f(t) = \frac{7x(t)}{3} + \frac{9x(t+8)}{2}\! $
UNIT IMPULSE RESPONSE OF SYSTEM
To find the unit impulse response of the system, we set $ x(t) = \delta(t)\! $. Then we obtain the following unit impulse response:
$ h(t) = \frac{7\delta(t)}{3} + \frac{9\delta(t+8)}{2}\! $
