Q1) A- Two signals x₁(t) and x₂ (t) having Fourier transforms X₁(f) and X₂(f)shown in figure (1) are combined to form 10-4 X₁(f) 10-4 X₂(f) f -5 kHz 0 5 kHz -10 kHz 0 10 kHz Figure (1) spectral of x₁(t) and x₂(t) y(t) = x₁(t) + 2x₂ (t) cos 2nfct fe= 20.000 kHz a) Find the bandwidth of the signal y(t) b) Given y(t), How could you separate x₁ (t) and2x₂ (t) cos 2nfet?

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Q1) A- Two signals x₁(t) and x₂(t) having Fourier transforms X₁(f) and
X₂(f)shown in figure (1) are combined to form
10-4 X₁(f)
10-4 X₂(f)
XI
f
-5 kHz
0
5 kHz
-10 kHz
0
10 kHz
Figure (1) spectral of x₁ (t) and x₂ (t)
y(t) = x₁(t) + 2x₂ (t) cos 2nfet
fe= 20.000 kHz
a)
Find the bandwidth of the signal y(t)
b) Given y(t), How could you separate x₁ (t)and2x₂ (t) cos 2nfct?
Transcribed Image Text:Q1) A- Two signals x₁(t) and x₂(t) having Fourier transforms X₁(f) and X₂(f)shown in figure (1) are combined to form 10-4 X₁(f) 10-4 X₂(f) XI f -5 kHz 0 5 kHz -10 kHz 0 10 kHz Figure (1) spectral of x₁ (t) and x₂ (t) y(t) = x₁(t) + 2x₂ (t) cos 2nfet fe= 20.000 kHz a) Find the bandwidth of the signal y(t) b) Given y(t), How could you separate x₁ (t)and2x₂ (t) cos 2nfct?
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