Consider the system below with inputs 2₁ (t) and r₂(t): 10.4 X₁ (t) 20000 x₂ lts H₁ (jw) - 20000 t 20000 Inflt) 20000 T LTI Hi(jw)| LTI H₂ (jw) H₂ (jw) -10000TT ò 10000 TT > y(t) = y₁ (t)=x₂|lt| w (a) Sketch X₁ (jw) and X₂ (jw) (b) Sketch Y₁ (jw) and Y₂(jw) (c) Find the bandwidths of y₁ (t). 3₂ (t) and y(t). The bandwidth is the difference between the lowest an highest frequencies in the signal. (d) Determine the Nyquist rates for the signals y₁ (t), y2(t) and y(t).

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Consider the system below with inputs 2₁ (t) and x₂(t):
I
10.4
X₁ (X)
20000
1x₂ lts
H₁ (jw)
20000)
t
20000
Inf(x)
-t
20000 T
LTI
Hi(jw)
LTI
H₂ (jw)
H₂ (jw)
> y(t) = y₁ (t)=x₂|lt|
-10000TT O 10000 TT
3
(a) Sketch X₁ (jw) and X₂ (jw)
(b) Sketch Y₁ (jw) and Y₂ (jw)
(c) Find the bandwidths of y₁ (t), y2 (t) and y(t). The bandwidth is the difference between the lowest and
highest frequencies in the signal.
(d) Determine the Nyquist rates for the signals y₁ (t), y2 (t) and y(t).
Transcribed Image Text:Consider the system below with inputs 2₁ (t) and x₂(t): I 10.4 X₁ (X) 20000 1x₂ lts H₁ (jw) 20000) t 20000 Inf(x) -t 20000 T LTI Hi(jw) LTI H₂ (jw) H₂ (jw) > y(t) = y₁ (t)=x₂|lt| -10000TT O 10000 TT 3 (a) Sketch X₁ (jw) and X₂ (jw) (b) Sketch Y₁ (jw) and Y₂ (jw) (c) Find the bandwidths of y₁ (t), y2 (t) and y(t). The bandwidth is the difference between the lowest and highest frequencies in the signal. (d) Determine the Nyquist rates for the signals y₁ (t), y2 (t) and y(t).
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