Cross Domain Equivalent to Nyquist Sampling Theorem?

1. How is Shannon theorem different from Nyquist's theorem?
2. What is the difference between sampling theorem and Nyquist theorem?
3. What is the sampling theorem in frequency domain?
4. What is the Nyquist frequency always equal to?

How is Shannon theorem different from Nyquist's theorem?

Nyquist's theorem specifies the maximum data rate for noiseless condition, whereas the Shannon theorem specifies the maximum data rate under a noise condition.

What is the difference between sampling theorem and Nyquist theorem?

The Nyquist theorem concerns digital sampling of a continuous time analog waveform, while Shannon's Sampling theorem concerns the creation of a continuous time analog waveform from digital, discrete samples.

What is the sampling theorem in frequency domain?

The sampling theorem essentially says that a signal has to be sampled at least with twice the frequency of the original signal. Since signals and their respective speed can be easier expressed by frequencies, most explanations of artifacts are based on their representation in the frequency domain.

What is the Nyquist frequency always equal to?

The only way we can avoid aliasing is to decrease the sampling interval, Δt, such that π/Δt is a higher frequency than the highest angular frequency content of the signal. The frequency f_n = 1/2Δt is called the Nyquist frequency.