Q4. A pulse signal s(t) is shown in the figure below. (a) Determine the pulse energy Es. (b) Sketch the impulse response h(t) of a filter matched to the pulse. (c) Determine and sketch the output of the matched filter versus time if s(f) is appl the filter input. Hint: Divide the interval of the filter output into two sub-intervals, T/2 < t< T, T

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Q4. A pulse signal s(t) is shown in the figure below.
(a) Determine the pulse energy Es.
(b) Sketch the impulse response h(t) of a filter matched to the pulse.
(c) Determine and sketch the output of the matched filter versus time if s(f) is applied to
the filter input.
Hint: Divide the interval of the filter output into two sub-intervals, T/2 < t < T, T< t< 3T/2
and then find the convolution integral at each sub-interval.
s (t)
A
T
Transcribed Image Text:Q4. A pulse signal s(t) is shown in the figure below. (a) Determine the pulse energy Es. (b) Sketch the impulse response h(t) of a filter matched to the pulse. (c) Determine and sketch the output of the matched filter versus time if s(f) is applied to the filter input. Hint: Divide the interval of the filter output into two sub-intervals, T/2 < t < T, T< t< 3T/2 and then find the convolution integral at each sub-interval. s (t) A T
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