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− | <math>h(t) = </math> | + | <math>h(t) = \frac{7\delta(t)}{3} + \frac{9\delta(t+8)}{2}\!</math> |
Revision as of 11:17, 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 $ g(t) = \delta(t)\! $. Then we obtain the following unit impulse response:
$ h(t) = \frac{7\delta(t)}{3} + \frac{9\delta(t+8)}{2}\! $