5. Consider the following system as illustrated in Fig. 05. x(t)- 8" (t-5) h(t) r(t + 4) r(t + 6) →y(t) Fig.05 (a) Determine the impulse response h(t) of the system. Also determine the input output relationship of the system. (b) Is the system causal or non-causal? Give reasons behind your choice.

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5. Consider the following system as illustrated in Fig. 05.
x(t)-
8" (t-5)
h(t)
r(t + 4)
r(t + 6)
Fig.05
(a) Determine the impulse response h(t) of the system. Also determine the input output relationship of
the system.
(b) Is the system causal or non-causal? Give reasons behind
your choice.
(c) Sketch the output y(t) of the overall system if the input is x(t) = rect(t/4)
(d) Sketch the output y(t) of the overall system if the input is x(t) = tri(t/2)
Transcribed Image Text:5. Consider the following system as illustrated in Fig. 05. x(t)- 8" (t-5) h(t) r(t + 4) r(t + 6) Fig.05 (a) Determine the impulse response h(t) of the system. Also determine the input output relationship of the system. (b) Is the system causal or non-causal? Give reasons behind your choice. (c) Sketch the output y(t) of the overall system if the input is x(t) = rect(t/4) (d) Sketch the output y(t) of the overall system if the input is x(t) = tri(t/2)
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