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Consider the following signal f(t) = 5 cos(5πt) + 6 sin(257t). (a) What is the highest angular frequency present in the signal? What is the highest numerical frequency present in the signal? (b) What is the Nyquist rate of the signal? Did you use the angular or the numerical frequency? (c) If you sample this signal with sampling period T, which values of T satisfy the Nyquist require- ment? Choose and fix one such T. (d) After sampling, you pass the sampled signal through a low-pass filter that cuts off the frequency at Mo. What is the range of the cutoff frequency, Mo of the filter to avoid aliasing and avoid signal loss?

Consider the following signal f(t) = 5 cos(5πt) + 6 sin(257t). (a) What is the highest angular frequency present in the signal? What is the highest numerical frequency present in the signal? (b) What is the Nyquist rate of the signal? Did you use the angular or the numerical frequency? (c) If you sample this signal with sampling period T, which values of T satisfy the Nyquist require- ment? Choose and fix one such T. (d) After sampling, you pass the sampled signal through a low-pass filter that cuts off the frequency at Mo. What is the range of the cutoff frequency, Mo of the filter to avoid aliasing and avoid signal loss?

Introductory Circuit Analysis (13th Edition)
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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Consider the following signal f(t) = 5 cos(5πt) + 6 sin(257t). (a) What is the highest angular frequency present in the signal? What is the highest numerical frequency present in the signal? (b) What is the Nyquist rate of the signal? Did you use the angular or the numerical frequency? (c) If you sample this signal with sampling period T, which values of T satisfy the Nyquist require- ment? Choose and fix one such T. (d) After sampling, you pass the sampled signal through a low-pass filter that cuts off the frequency at Mo. What is the range of the cutoff frequency, Mo of the filter to avoid aliasing and avoid signal loss?
Transcribed Image Text:Consider the following signal f(t) = 5 cos(5πt) + 6 sin(257t). (a) What is the highest angular frequency present in the signal? What is the highest numerical frequency present in the signal? (b) What is the Nyquist rate of the signal? Did you use the angular or the numerical frequency? (c) If you sample this signal with sampling period T, which values of T satisfy the Nyquist require- ment? Choose and fix one such T. (d) After sampling, you pass the sampled signal through a low-pass filter that cuts off the frequency at Mo. What is the range of the cutoff frequency, Mo of the filter to avoid aliasing and avoid signal loss?
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