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Given an analog signal X(t) = 3 cos (2n . 2000t) + 2 cos (2n . 60000t) sampled at a rate of 10,000 Hz, a. Sketch the spectrum of the sampled signal up to 20 kHz; b. Sketch the recovered analog signal spectrum if an ideal lowpass filter with a cutoff frequency of 5.5 kHz is used to filter the sampled signal in order to recover the original signal c. Determine the frequency/frequencies of aliasing noise.

Given an analog signal X(t) = 3 cos (2n . 2000t) + 2 cos (2n . 60000t) sampled at a rate of 10,000 Hz, a. Sketch the spectrum of the sampled signal up to 20 kHz; b. Sketch the recovered analog signal spectrum if an ideal lowpass filter with a cutoff frequency of 5.5 kHz is used to filter the sampled signal in order to recover the original signal c. Determine the frequency/frequencies of aliasing noise.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Given an analog signal X(t) = 3 cos (2n . 2000t) + 2 cos (2n . 60000t) sampled at a rate of 10,000 Hz, a. Sketch the spectrum of the sampled signal up to 20 kHz; b. Sketch the recovered analog signal spectrum if an ideal lowpass filter with a cutoff frequency of 5.5 kHz is used to filter the sampled signal in order to recover the original signal; c. Determine the frequency/frequencies of aliasing noise.
Transcribed Image Text:Given an analog signal X(t) = 3 cos (2n . 2000t) + 2 cos (2n . 60000t) sampled at a rate of 10,000 Hz, a. Sketch the spectrum of the sampled signal up to 20 kHz; b. Sketch the recovered analog signal spectrum if an ideal lowpass filter with a cutoff frequency of 5.5 kHz is used to filter the sampled signal in order to recover the original signal; c. Determine the frequency/frequencies of aliasing noise.
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