The input X(t) to a low-pass fiter (LPF) has the below spectrum frequency response of the LPF has a cut-off at fcut = 75 Hz as depicted below. g(t) → G(f) X(f) -100 -50 8(f+ 100) 8(+50) 8f-50)8f-100) x(t) → X(f) 0 50 100 f -75 LPF HLP (f) 0 75 f (Hz) A. Depict the spectrum G(f) at the output of the filter. B. What is the time-domain representation g(t) of the output signal.

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The input x (t) to a low-pass filter (LPF) has the below spectrum X(f). The
frequency response of the LPF has a cut-off at fcut = 75 Hz as depicted below.
g(t) → G(f)
1
78 (f.
X(f)
1
-100 -50
+100) 8(+50) 8f-50) 8f-100)
x (t) → X (f)
0 50
100
LPF
HLP (f)
1
-75 0 75 f (Hz)
A. Depict the spectrum G(f) at the output of the filter.
B. What is the time-domain representation g(t) of the output signal.
See, slides 42 and 43 in the week 2 presentation.
Transcribed Image Text:The input x (t) to a low-pass filter (LPF) has the below spectrum X(f). The frequency response of the LPF has a cut-off at fcut = 75 Hz as depicted below. g(t) → G(f) 1 78 (f. X(f) 1 -100 -50 +100) 8(+50) 8f-50) 8f-100) x (t) → X (f) 0 50 100 LPF HLP (f) 1 -75 0 75 f (Hz) A. Depict the spectrum G(f) at the output of the filter. B. What is the time-domain representation g(t) of the output signal. See, slides 42 and 43 in the week 2 presentation.
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