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Suppose a signal with the following spectrum is sampled with a sampling frequency of 10 samples/s. Draw the resulting spectrum of the sampled signal from -2Fs to 2Fs. Make sure you label appropriate frequencies. X(2πf) -2Hz 2Hz What is the Nyquist frequency of the signal in the previous problem? f Hz

Suppose a signal with the following spectrum is sampled with a sampling frequency of 10 samples/s. Draw the resulting spectrum of the sampled signal from -2Fs to 2Fs. Make sure you label appropriate frequencies. X(2πf) -2Hz 2Hz What is the Nyquist frequency of the signal in the previous problem? f Hz

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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**Description: Sampling and Spectrum Analysis** Suppose a signal with the following spectrum is sampled with a sampling frequency of 10 samples/s. Draw the resulting spectrum of the sampled signal from -2Fs to 2Fs. Make sure you label appropriate frequencies. **Spectrum Graph Description:** - The horizontal axis represents frequency, labeled as "f Hz." - There are two peaks in the spectrum, one at -2 Hz and another at 2 Hz. - Both peaks are denoted as X(2πf), indicating potential Fourier Transforms or spectral components. **Question:** What is the Nyquist frequency of the signal in the previous problem? **Explanation of Concepts:** - **Sampling Frequency (Fs):** The rate at which the signal is sampled, given as 10 samples/s. - **Nyquist Frequency:** This is half of the sampling frequency, which determines the highest frequency that can be accurately represented. In this case, it would be 5 Hz. Utilize this information to analyze and interpret the spectrum of sampled signals effectively.
Transcribed Image Text:**Description: Sampling and Spectrum Analysis** Suppose a signal with the following spectrum is sampled with a sampling frequency of 10 samples/s. Draw the resulting spectrum of the sampled signal from -2Fs to 2Fs. Make sure you label appropriate frequencies. **Spectrum Graph Description:** - The horizontal axis represents frequency, labeled as "f Hz." - There are two peaks in the spectrum, one at -2 Hz and another at 2 Hz. - Both peaks are denoted as X(2πf), indicating potential Fourier Transforms or spectral components. **Question:** What is the Nyquist frequency of the signal in the previous problem? **Explanation of Concepts:** - **Sampling Frequency (Fs):** The rate at which the signal is sampled, given as 10 samples/s. - **Nyquist Frequency:** This is half of the sampling frequency, which determines the highest frequency that can be accurately represented. In this case, it would be 5 Hz. Utilize this information to analyze and interpret the spectrum of sampled signals effectively.
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