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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. | ||
| + | |||
| + | CT signal : <math> sin (3\pi t) </math> | ||
| + | |||
| + | <math> y(t) = e^{- s} sin (3/pi t) </math> | ||
Revision as of 15:30, 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.
CT signal : $ sin (3\pi t) $
$ y(t) = e^{- s} sin (3/pi t) $
