Question 2 Consider the two signals c₁ (t) = 4 cos(50000πt) and c₂(t) signals, m₁(t) and m₂ (t) with the following spectrum. M₁D -5000 10 5000 f-> = 4 sin (50000πt). Consider also the two M₂(f) -5000 0 5000 1) Draw the real and the imaginary parts of the spectrum of z(t) = m₁(t)c₁(t) + m₂(t)c₂(t). 2) If z(t) is multiplied by c₂ (t), then integrated (or equivalently, passed through a LPF), what will be the output signal? 3) Repeat the previous part if z(t) is multiplied by c₁(t) instead.
Question 2 Consider the two signals c₁ (t) = 4 cos(50000πt) and c₂(t) signals, m₁(t) and m₂ (t) with the following spectrum. M₁D -5000 10 5000 f-> = 4 sin (50000πt). Consider also the two M₂(f) -5000 0 5000 1) Draw the real and the imaginary parts of the spectrum of z(t) = m₁(t)c₁(t) + m₂(t)c₂(t). 2) If z(t) is multiplied by c₂ (t), then integrated (or equivalently, passed through a LPF), what will be the output signal? 3) Repeat the previous part if z(t) is multiplied by c₁(t) instead.
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Transcribed Image Text:Question 2
Consider the two signals c₁(t)
=
4 cos(50000πt) and c₂(t)
signals, m₁ (t) and m₂(t) with the following spectrum.
M₁)
-5000
0 5000
=
4 sin (50000πt). Consider also the two
M₂(f)
-5000
0 5000
f→
1) Draw the real and the imaginary parts of the spectrum of z(t) = m₁(t)c₁(t) + m₂(t)c₂(t).
2)
If z(t) is multiplied by c₂(t), then integrated (or equivalently, passed through a LPF), what will be
the output signal?
3) Repeat the previous part if z(t) is multiplied by c₁ (t) instead.
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Step 1: what is given and what is required:
VIEWStep 2: Part i)-Finding the spectrum of the signal z(t):
VIEWStep 3: Part ii)-finding output when z(t) is multiplied by c2(t) and then followed by a LPF:
VIEWStep 4: Part iii)-finding output when z(t) is multiplied by c1(t) and then followed by a LPF:
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