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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)
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 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?
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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