b) For the below system, fo = 150 Hz, f₁ = 100 Hz, and f2 = 200 Hz. Note that x(t) is a continuous time signal and h(t) is the impulse response of the LTI system. Answer the following questions. (HINT: You may want to use some of the Fourier Transform properties (e.g., frequency shift property, convolution property, etc.) x(t) = cos(wot) (i) Find x₁(1). (ii) Find x₂(t). (iii) Find yı(t). Frequency Shift Block (-f₁) Frequency Shift Block (f₁). x₁ (t) x₂ (t) h(t) = sinc(f₂t) h(t) = sinc(f₂t) |y₁ (t) y₂ (t) z(t)
b) For the below system, fo = 150 Hz, f₁ = 100 Hz, and f2 = 200 Hz. Note that x(t) is a continuous time signal and h(t) is the impulse response of the LTI system. Answer the following questions. (HINT: You may want to use some of the Fourier Transform properties (e.g., frequency shift property, convolution property, etc.) x(t) = cos(wot) (i) Find x₁(1). (ii) Find x₂(t). (iii) Find yı(t). Frequency Shift Block (-f₁) Frequency Shift Block (f₁). x₁ (t) x₂ (t) h(t) = sinc(f₂t) h(t) = sinc(f₂t) |y₁ (t) y₂ (t) z(t)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Question
![b) For the below system, fo = 150 Hz, f₁ = 100 Hz, and f2 = 200 Hz. Note that x(t)
is a continuous time signal and h(t) is the impulse response of the LTI system.
Answer the following questions.
(HINT: You may want to use some of the Fourier Transform properties (e.g.,
frequency shift property, convolution property, etc.)
x(t) = cos(wot)
(i) Find x₁(1).
(ii) Find x₂(t).
(iii) Find yı(t).
Frequency Shift Block
(-f₁)
Frequency Shift Block
(f₁).
x₁ (t)
x₂ (t)
h(t) = sinc(f₂t)
h(t) = sinc(f₂t)
|y₁ (t)
y₂ (t)
z(t)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F01815b0b-0145-4e94-be50-5a738743a01e%2F6817982c-e6db-4b2e-8ea4-7753ce141f5f%2Fqsrrb4k_processed.png&w=3840&q=75)
Transcribed Image Text:b) For the below system, fo = 150 Hz, f₁ = 100 Hz, and f2 = 200 Hz. Note that x(t)
is a continuous time signal and h(t) is the impulse response of the LTI system.
Answer the following questions.
(HINT: You may want to use some of the Fourier Transform properties (e.g.,
frequency shift property, convolution property, etc.)
x(t) = cos(wot)
(i) Find x₁(1).
(ii) Find x₂(t).
(iii) Find yı(t).
Frequency Shift Block
(-f₁)
Frequency Shift Block
(f₁).
x₁ (t)
x₂ (t)
h(t) = sinc(f₂t)
h(t) = sinc(f₂t)
|y₁ (t)
y₂ (t)
z(t)
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