Does the Nyquist Sampling Theorem hold for a triangular wave?

No, because a triangular sawtooth wave is not bandlimited. Nyquist theorem only applies to bandlimited signals.

1. What are the effects of Nyquist theorem is not meet?
2. What are the two requirements of sampling theorem?
3. Which one of the following is the Nyquist criteria for sampling?
4. What is the difference between sampling theorem and Nyquist theorem?

What are the effects of Nyquist theorem is not meet?

If the Nyquist theorem is not obeyed, higher frequency information is recorded in too low a sample rate, resulting in aliasing artifacts. Several techniques can reduce aliasing in a reproduced signal.

What are the two requirements of sampling theorem?

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.

Which one of the following is the Nyquist criteria for sampling?

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.

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.