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FAQs on Sampling Theorem - GATE Notes & Videos for Electrical Engineering - Electrical Engineering (EE)

1. What is the Nyquist-Shannon sampling theorem?
Ans. The Nyquist-Shannon sampling theorem, also known as the 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 present in the signal. This ensures that no information is lost during the sampling process.
2. How does the sampling theorem impact digital signal processing?
Ans. The sampling theorem is fundamental in digital signal processing as it provides guidelines on how to properly sample and reconstruct analog signals in order to convert them into digital form. By following the sampling theorem, digital signal processors can effectively capture and process analog signals without distorting or losing important information.
3. What happens if the sampling frequency violates the Nyquist-Shannon sampling theorem?
Ans. If the sampling frequency is lower than the Nyquist rate (twice the highest frequency in the signal), a phenomenon known as aliasing occurs. Aliasing leads to the distortion of the original signal and the introduction of unwanted frequencies. This can result in a loss of information and inaccurate representation of the signal during the reconstruction process.
4. Is it possible to oversample a signal beyond the Nyquist rate?
Ans. Yes, it is possible to oversample a signal by using a sampling frequency higher than the Nyquist rate. Oversampling can provide benefits in certain applications, such as reducing quantization noise and improving the signal-to-noise ratio. However, oversampling beyond a certain point does not yield significant improvements and can lead to unnecessary computational burden.
5. How does the sampling theorem relate to digital audio and video?
Ans. The sampling theorem is highly relevant to digital audio and video systems. It ensures that analog audio and video signals are accurately sampled, digitized, and reconstructed. By following the sampling theorem, digital audio and video systems can maintain high fidelity and reproduce the original signals with minimal loss of quality.
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