Sampling Theorem Video Lecture | Signals and Systems - Electrical Engineering (EE)

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1. What is the Sampling Theorem in Electrical Engineering?
Ans. The Sampling Theorem in Electrical Engineering, also known as the Nyquist-Shannon Sampling Theorem, states that in order to accurately reconstruct a continuous signal from its samples, the sampling frequency must be at least twice the highest frequency component present in the signal.
2. Why is the Sampling Theorem important in signal processing?
Ans. The Sampling Theorem is crucial in signal processing as it ensures that the original signal can be accurately reconstructed from its discrete samples without losing any information. Violating the Sampling Theorem can lead to aliasing and distortion in the reconstructed signal.
3. How does the Sampling Theorem impact the design of digital communication systems?
Ans. In digital communication systems, the Sampling Theorem dictates the minimum sampling rate required to accurately capture the analog signal for conversion into digital form. By adhering to the Sampling Theorem, digital communication systems can maintain signal integrity and minimize errors.
4. What happens if the sampling rate is lower than the Nyquist rate according to the Sampling Theorem?
Ans. If the sampling rate is lower than the Nyquist rate as per the Sampling Theorem, aliasing occurs, leading to the folding of higher frequency components into lower frequency components. This results in distortion and loss of information in the reconstructed signal.
5. How can engineers ensure compliance with the Sampling Theorem in practical applications?
Ans. Engineers can ensure compliance with the Sampling Theorem in practical applications by carefully selecting the sampling rate based on the highest frequency component of the signal, applying appropriate anti-aliasing filters, and verifying the reconstructed signal to confirm that no information loss has occurred.
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