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==3. Define a CT LTI system.== | ==3. Define a CT LTI system.== | ||
| + | System: | ||
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| + | <math>y(t)=x(t-1)</math> | ||
a) Obtain the unit impulse response h(t) and the system function H(s) of your system. | a) Obtain the unit impulse response h(t) and the system function H(s) of your system. | ||
| + | |||
| + | <math> d(t) --> System --> d(t-1)\ </math> | ||
| + | |||
| + | <math> h(t)= d(t-1)</math> | ||
| + | |||
| + | <math> H(s)= e^{- s} </math> | ||
b) Compute the response of your system to the signal you defined in Question 1 using H(s) and the Fourier series coefficients of your signal. | b) Compute the response of your system to the signal you defined in Question 1 using H(s) and the Fourier series coefficients of your signal. | ||
Revision as of 15:27, 25 September 2008
3. Define a CT LTI system.
System:
$ y(t)=x(t-1) $
a) Obtain the unit impulse response h(t) and the system function H(s) of your system.
$ d(t) --> System --> d(t-1)\ $
$ h(t)= d(t-1) $
$ H(s)= e^{- s} $
b) Compute the response of your system to the signal you defined in Question 1 using H(s) and the Fourier series coefficients of your signal.
