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Given the system <math>y(t) = 5(t-1)\,</math>, where <math>y(t)\,</math> is the output and <math>x(t)\,</math> is the input, find the unit impulse response <math>h(t)\,</math> and the system function <math>H(s)\,</math>.<br>
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Given the system <math>y(t) = (t-1)\,</math>, where <math>y(t)\,</math> is the output and <math>x(t)\,</math> is the input, find the unit impulse response <math>h(t)\,</math> and the system function <math>H(s)\,</math>.<br>
Then find the response to <math>x(t) = cos(3\pi t) + sin(\pi t)\,</math>
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Then find the response to <math>x(t) = cos(4t) + sin(2t)\,</math>

Revision as of 16:29, 26 September 2008

Given the system $ y(t) = (t-1)\, $, where $ y(t)\, $ is the output and $ x(t)\, $ is the input, find the unit impulse response $ h(t)\, $ and the system function $ H(s)\, $.
Then find the response to $ x(t) = cos(4t) + sin(2t)\, $

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