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Given a continuous time signal x(t). Sample the signal with a sampling rate of F=100 samples/s. x(t) = cos(2π40t) ● What is the frequency of the cosine in Hz? What is the frequency of the cosine in rad/s? What is the frequency of the sampled cosine in normalized rad/s?

Given a continuous time signal x(t). Sample the signal with a sampling rate of F=100 samples/s. x(t) = cos(2π40t) ● What is the frequency of the cosine in Hz? What is the frequency of the cosine in rad/s? What is the frequency of the sampled cosine in normalized rad/s?

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 a continuous time signal x(t). Sample the signal with a sampling rate of F₁=100 samples/s. x(t) = cos(2π40t) ● What is the frequency of the cosine in Hz? ● ● ● What is the frequency of the cosine in rad/s? What is the frequency of the sampled cosine in normalized rad/s? What is the frequency of the sampled cosine in normalized Hz? Using N = 50, what is the DFT of the sampled signal? What are the indexes where the DFT is non- zero? In MATLAB, generate the sampled signal and plot the magnitude of the DFT with index k on the x-axis. In MATLAB, plot the magnitude of the DFT with Hz on the x-axis.
Transcribed Image Text:Given a continuous time signal x(t). Sample the signal with a sampling rate of F₁=100 samples/s. x(t) = cos(2π40t) ● What is the frequency of the cosine in Hz? ● ● ● What is the frequency of the cosine in rad/s? What is the frequency of the sampled cosine in normalized rad/s? What is the frequency of the sampled cosine in normalized Hz? Using N = 50, what is the DFT of the sampled signal? What are the indexes where the DFT is non- zero? In MATLAB, generate the sampled signal and plot the magnitude of the DFT with index k on the x-axis. In MATLAB, plot the magnitude of the DFT with Hz on the x-axis.
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