*2. Consider a continuous time signal, x(t) = Σ₁-₁1 A¡ cos(2πFt +0₁), consisting of a sum of sinusoidal signals of frequencies 100 Hz, 350 Hz, 900 Hz, 1.95 KHz, and 5.35 KHz. a) Find the discrete time sequence, x(n), obtained by sampling x(t) at a rate of 1.2 KHz. (Note: you must take care of aliasing, if any) b) Suppose x(n) is passed through an ideal reconstruction filter with a cut-off frequency of 600 Hz to get a continuous time signal, y(t). What is y(t)? c) If the cut-off frequency of the ideal reconstruction filter is chosen to be 400 Hz, what is y(t)?
*2. Consider a continuous time signal, x(t) = Σ₁-₁1 A¡ cos(2πFt +0₁), consisting of a sum of sinusoidal signals of frequencies 100 Hz, 350 Hz, 900 Hz, 1.95 KHz, and 5.35 KHz. a) Find the discrete time sequence, x(n), obtained by sampling x(t) at a rate of 1.2 KHz. (Note: you must take care of aliasing, if any) b) Suppose x(n) is passed through an ideal reconstruction filter with a cut-off frequency of 600 Hz to get a continuous time signal, y(t). What is y(t)? c) If the cut-off frequency of the ideal reconstruction filter is chosen to be 400 Hz, what is y(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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Transcribed Image Text:*2. Consider a continuous time signal, x(t) = ₁ A₁ cos(2nFt +0₁), consisting of a sum of sinusoidal
signals of frequencies 100 Hz, 350 Hz, 900 Hz, 1.95 KHz, and 5.35 KHz.
a) Find the discrete time sequence, x(n), obtained by sampling x(t) at a rate of 1.2 KHz. (Note: you must
take care of aliasing, if any)
b) Suppose x(n) is passed through an ideal reconstruction filter with a cut-off frequency of 600 Hz to get
a continuous time signal, y(t). What is y(t)?
c) If the cut-off frequency of the ideal reconstruction filter is chosen to be 400 Hz, what is y(t)?
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