Question 4 Consider a linear time-invariant system in which H (jw) equals 5 in frequency band A, 3 in frequency band B, and 2 in frequency band C. Further suppose the input to this system is x (t) = x₁(t) + x₂ (t) + x3 (t), where x₁ (t) only has frequency content in frequency band A, ₂ (t) only has frequency content in frequency band B, and x3 (t) only has frequency content in frequency band C. In addition, suppose ₁ (t) has energy 5, 2 (t) has energy 1, and 3 (t) has energy 3. Determine the energy of the output. Hint: The energy is the sum of the energies in each frequency band.
Question 4 Consider a linear time-invariant system in which H (jw) equals 5 in frequency band A, 3 in frequency band B, and 2 in frequency band C. Further suppose the input to this system is x (t) = x₁(t) + x₂ (t) + x3 (t), where x₁ (t) only has frequency content in frequency band A, ₂ (t) only has frequency content in frequency band B, and x3 (t) only has frequency content in frequency band C. In addition, suppose ₁ (t) has energy 5, 2 (t) has energy 1, and 3 (t) has energy 3. Determine the energy of the output. Hint: The energy is the sum of the energies in each frequency band.
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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Im pretty sure I am supposed to use the fact that |Y(jw)| = |H(jw)|*|X(jw)|. The answer should be a whole number. Thx.
Transcribed Image Text:Question 4
Consider a linear time-invariant system in which H (jw) equals 5 in frequency band A, 3 in frequency band B, and 2 in frequency band C. Further suppose the input
to this system is r(t) = x₁(t) + x₂ (t) + x3 (t), where x₁ (t) only has frequency content in frequency band A, ₂ (t) only has frequency content in frequency band
B, and 3 (t) only has frequency content in frequency band C. In addition, suppose ₁ (t) has energy 5, 2 (t) has energy 1, and x3 (t) has energy 3. Determine the
energy of the output. Hint: The energy is the sum of the energies in each frequency band.
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