- What is meant by sampling theorem?
- What does Shannon's sampling theorem state?
- What is the Nyquist sampling theorem or formula?
- What is the main rule of Nyquist's theorem?
What is meant by sampling theorem?
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.
What does Shannon's sampling theorem state?
Shannon's Sampling theorem states that a digital waveform must be updated at least twice as fast as the bandwidth of the signal to be accurately generated. The same image that was used for the Nyquist example can be used to demonstrate Shannon's Sampling theorem.
What is the Nyquist sampling theorem or formula?
The Nyquist theorem is also known as the sampling theorem. It is the principle to accurately reproduce a pure sine wave measurement, or sample, rate, which must be at least twice its frequency. The Nyquist theorem underpins all analog-to-digital conversion and is used in digital audio and video to reduce aliasing.
What is the main rule of Nyquist's theorem?
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.