Question 3 Consider the two signals c₁ (t) = 4 cos (50000πt) and c₂(t) = 4 sin (50000ft). The real and the imaginary parts of the spectrum of two signals, m₁(t) and m²(t), are shown in the following figure. M₁(f) M₂(f) Re Im -5000 M₁(f) -5000 10 5000 f-> 0 5000 f-> -5000 M₂(f) -5000 0 5000 f-> 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) Draw the real and the imaginary parts of the spectrum of w(t) = m₁(t)c₁(t)- m₂(t)c₂(t). 3) If z(t) is multiplied by c₂(t), then integrated (or equivalently, passed through a LPF), what will be the output signal? 4) If w(t) is multiplied by c₂(t), then integrated (or equivalently, passed through a LPF), what will be the output signal?
Question 3 Consider the two signals c₁ (t) = 4 cos (50000πt) and c₂(t) = 4 sin (50000ft). The real and the imaginary parts of the spectrum of two signals, m₁(t) and m²(t), are shown in the following figure. M₁(f) M₂(f) Re Im -5000 M₁(f) -5000 10 5000 f-> 0 5000 f-> -5000 M₂(f) -5000 0 5000 f-> 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) Draw the real and the imaginary parts of the spectrum of w(t) = m₁(t)c₁(t)- m₂(t)c₂(t). 3) If z(t) is multiplied by c₂(t), then integrated (or equivalently, passed through a LPF), what will be the output signal? 4) If w(t) is multiplied by c₂(t), then integrated (or equivalently, passed through a LPF), what will be the output signal?
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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Question
![Question 3
Consider the two signals c₁ (t) = 4 cos(50000πt) and c₂ (t) = 4 sin(50000t). The real and the imaginary
parts of the spectrum of two signals, m₁(t) and m₂(t), are shown in the following figure.
M₁(f)
M₂(f)
Re
Im
-5000
-5000
10
0
5000 f->
5000 f->
-5000
M₂(f)
-5000
10
5000 f->
5000
fƒ→
1) Draw the real and the imaginary parts of the spectrum of z(t) = m₁(t)c₁(t) + m₂(t)c₂(t).
2) Draw the real and the imaginary parts of the spectrum of w(t) = m₁(t)c₁(t) — m₂(t)c₂(t).
3) If z(t) is multiplied by c₂(t), then integrated (or equivalently, passed through a LPF), what will be
the output signal?
4) If w(t) is multiplied by c₂(t), then integrated (or equivalently, passed through a LPF), what will
be the output signal?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff4e3ba09-2439-4af7-b876-bd4d289a9298%2Fe3838ff2-79bc-4a36-9322-6d0e2cc7a1f3%2Fisr0djq_processed.png&w=3840&q=75)
Transcribed Image Text:Question 3
Consider the two signals c₁ (t) = 4 cos(50000πt) and c₂ (t) = 4 sin(50000t). The real and the imaginary
parts of the spectrum of two signals, m₁(t) and m₂(t), are shown in the following figure.
M₁(f)
M₂(f)
Re
Im
-5000
-5000
10
0
5000 f->
5000 f->
-5000
M₂(f)
-5000
10
5000 f->
5000
fƒ→
1) Draw the real and the imaginary parts of the spectrum of z(t) = m₁(t)c₁(t) + m₂(t)c₂(t).
2) Draw the real and the imaginary parts of the spectrum of w(t) = m₁(t)c₁(t) — m₂(t)c₂(t).
3) If z(t) is multiplied by c₂(t), then integrated (or equivalently, passed through a LPF), what will be
the output signal?
4) If w(t) is multiplied by c₂(t), then integrated (or equivalently, passed through a LPF), what will
be the output signal?
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