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− | + | Given the following LTI system | |
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+ | <math>\,s[t]=e^{\pi}x[t]\,</math> | ||
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+ | == Part A == | ||
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+ | Find the system's unit impulse response <math>\,h[n]\,</math> and system function <math>\,H(z)\,</math>. | ||
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+ | The unit impulse response is simply (plug a <math>\,\delta[n]\,</math> into the system) | ||
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+ | <math>\,h[n]=e^{\pi}\delta[n]\,</math> | ||
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+ | == Part B == |
Revision as of 16:58, 25 September 2008
Given the following LTI system
$ \,s[t]=e^{\pi}x[t]\, $
Part A
Find the system's unit impulse response $ \,h[n]\, $ and system function $ \,H(z)\, $.
The unit impulse response is simply (plug a $ \,\delta[n]\, $ into the system)
$ \,h[n]=e^{\pi}\delta[n]\, $