Howtosignalprocessing
- What does the Nyquist criterion say about the sampling rate s to allow reconstructing the original signal from its digital representation?
- What does Nyquist plot tell you?
- What is the significance of Nyquist criteria in sampling and reconstruction of signal?
- Can you able to reconstruct the original signal from sampled signal if it has been sampled at Nyquist rate?
What does the Nyquist criterion say about the sampling rate s to allow reconstructing the original signal from its digital representation?
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.
What does Nyquist plot tell you?
The Nyquist plot can provide some information about the shape of the transfer function. For instance, the plot provides information on the difference between the number of zeros and poles of the transfer function by the angle at which the curve approaches the origin.
What is the significance of Nyquist criteria in sampling and reconstruction of signal?
Simply stated, the Nyquist criterion requires that the sampling frequency be at least twice the highest frequency contained in the signal, or information about the signal will be lost. If the sampling frequency is less than twice the maximum analog signal frequency, a phenomenon known as aliasing will occur.
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.
