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==unit impulse response== | ==unit impulse response== | ||
Obtain the unit impulse response h(t) and the system function H(s) of your system. : | Obtain the unit impulse response h(t) and the system function H(s) of your system. : | ||
− | :<math>d (t) => System =>10 d (t) \,</math> | + | :<math>d (t) => System =>10 d (t) + d(t-1)\,</math> |
− | :<math>h(t)=10d(t) \,</math> | + | :<math>h(t)=10d(t) +d(t-1)\,</math> |
:<math>H(s)=\int_{-\infty}^{\infty} h(t)e^{-s t}dt</math> | :<math>H(s)=\int_{-\infty}^{\infty} h(t)e^{-s t}dt</math> |
Revision as of 05:44, 25 September 2008
CT LTI system
The system is:
- $ y(t)=10x(t)+x(t-1) $
unit impulse response
Obtain the unit impulse response h(t) and the system function H(s) of your system. :
- $ d (t) => System =>10 d (t) + d(t-1)\, $
- $ h(t)=10d(t) +d(t-1)\, $
- $ H(s)=\int_{-\infty}^{\infty} h(t)e^{-s t}dt $