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

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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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