b) For the below system, fo = 150 Hz, f 1 = 100 Hz, and f 2 = 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.) Frequency Shift Block (-f₁) x₁(t) |y1(t) h(t) = sinc(f₂t) x(t) = cos(wot) Frequency Shift Block (₤1)- h(t) = sinc(f₂t) x2(t) y2(t) (i) Find xi(t). (ii) Find x2(t). (iii) Find yi(t). (iv) Find y2(t). (v) Find z(t). z(t)

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Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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b) For the below system, fo = 150 Hz, f 1 = 100 Hz, and f 2 = 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.)
Frequency Shift Block
(-f₁)
x₁(t)
|y1(t)
h(t) = sinc(f₂t)
x(t) = cos(wot)
Frequency Shift Block
(₤1)-
h(t) = sinc(f₂t)
x2(t)
y2(t)
(i) Find xi(t).
(ii) Find x2(t).
(iii) Find yi(t).
(iv) Find y2(t).
(v) Find z(t).
z(t)
Transcribed Image Text:b) For the below system, fo = 150 Hz, f 1 = 100 Hz, and f 2 = 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.) Frequency Shift Block (-f₁) x₁(t) |y1(t) h(t) = sinc(f₂t) x(t) = cos(wot) Frequency Shift Block (₤1)- h(t) = sinc(f₂t) x2(t) y2(t) (i) Find xi(t). (ii) Find x2(t). (iii) Find yi(t). (iv) Find y2(t). (v) Find z(t). z(t)
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