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If ‘F’ is the frequency of the analog signal, then what is the minimum sampling rate required to avoid aliasing?
- a)F
- b)2F
- c)3F
- d)4F
Correct answer is option 'A'. Can you explain this answer?
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If ‘F’ is the frequency of the analog signal, then what is...
Explanation: According to Nyquist rate, to avoid aliasing the sampling frequency should be equal to twice of the analog frequency.
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If ‘F’ is the frequency of the analog signal, then what is...
Minimum Sampling Rate to Avoid Aliasing
To avoid aliasing in analog-to-digital conversion, the sampling rate must be at least twice the frequency of the analog signal being sampled. This is known as the Nyquist-Shannon sampling theorem.
Explanation
- The Nyquist-Shannon sampling theorem states that in order to accurately reconstruct an analog signal from its samples, the sampling rate must be greater than twice the highest frequency present in the signal.
- If the sampling rate is less than twice the frequency of the analog signal, aliasing can occur. Aliasing is the phenomenon where high-frequency components of the signal are incorrectly interpreted as lower frequencies, leading to distortion.
- Therefore, in this scenario, the minimum sampling rate required to avoid aliasing would be equal to the frequency of the analog signal (F). This ensures that the sampling rate is at least twice the frequency of the signal, meeting the Nyquist criterion.
Conclusion
In conclusion, the minimum sampling rate required to avoid aliasing is equal to the frequency of the analog signal being sampled (option 'A'). This ensures that the sampling rate is high enough to accurately capture the signal without introducing distortion due to aliasing.
To avoid aliasing in analog-to-digital conversion, the sampling rate must be at least twice the frequency of the analog signal being sampled. This is known as the Nyquist-Shannon sampling theorem.
Explanation
- The Nyquist-Shannon sampling theorem states that in order to accurately reconstruct an analog signal from its samples, the sampling rate must be greater than twice the highest frequency present in the signal.
- If the sampling rate is less than twice the frequency of the analog signal, aliasing can occur. Aliasing is the phenomenon where high-frequency components of the signal are incorrectly interpreted as lower frequencies, leading to distortion.
- Therefore, in this scenario, the minimum sampling rate required to avoid aliasing would be equal to the frequency of the analog signal (F). This ensures that the sampling rate is at least twice the frequency of the signal, meeting the Nyquist criterion.
Conclusion
In conclusion, the minimum sampling rate required to avoid aliasing is equal to the frequency of the analog signal being sampled (option 'A'). This ensures that the sampling rate is high enough to accurately capture the signal without introducing distortion due to aliasing.
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