Howtosignalprocessing
- What is Nyquist criteria for sampling for reconstruction )?
- Why Nyquist rate is 2 times?
- Can you able to reconstruct the original signal from sampled signal if it has been sampled at Nyquist rate?
- What is sampling theorem explain the reconstruction of the sampled signal?
What is Nyquist criteria for sampling for reconstruction )?
Nyquist's theorem states that a periodic signal must be sampled at more than twice the highest frequency component of the signal. In practice, because of the finite time available, a sample rate somewhat higher than this is necessary.
Why Nyquist rate is 2 times?
If the signal contains high frequency components, we will need to sample at a higher rate to avoid losing information that is in the signal. In general, to preserve the full information in the signal, it is necessary to sample at twice the maximum frequency of the signal. This is known as the Nyquist rate.
Can you able to reconstruct the original signal from sampled signal if it has been sampled at Nyquist rate?
Nyquist Sampling Theorem:
If a signal is band limited and its samples are taken at sufficient rate then those samples uniquely specify the signal and the signal can be reconstructed from those samples. The condition in which this is possible is known as Nyquist sampling theorem and is derived below.
What is sampling theorem explain the reconstruction of the sampled signal?
The sampling theorem specifies the minimum-sampling rate at which a continuous-time signal needs to be uniformly sampled so that the original signal can be completely recovered or reconstructed by these samples alone. This is usually referred to as Shannon's sampling theorem in the literature.
