Do Nyquist samples have the same sum as the integral of the signal?

1. Is Nyquist rate and sampling rate same?
2. What does the Nyquist theorem tell us about sample rate?
3. What happens to the signal if it is sampled below Nyquist limit?
4. What is the difference between sampling theorem and Nyquist theorem?
5. What is the Nyquist frequency equal to?
6. What happens to signal above Nyquist frequency?

Is Nyquist rate and sampling rate same?

The Nyquist rate is 2x the given frequency to be measured accurately. The theorem can be used in reverse. The Nyquist frequency is the highest frequency that equipment of a given sample rate can reliably measure, one-half the given sample rate. The Nyquist theorem is an important part of information theory.

What does the Nyquist theorem tell us about sample rate?

This theorem states that the highest frequency which can be represented accurately is one half of the sampling rate. The Nyquist rate specifies the minimum sampling rate that fully describes a given signal; in other words a sampling rate that enables the signal's accurate reconstruction from the samples.

What happens to the signal if it is sampled below Nyquist limit?

As the sampling frequency decreases, the signal separation also decreases. When the sampling frequency drops below the Nyquist rate, the frequencies will crossover and cause aliasing.

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 Nyquist frequency equal to?

The frequency f_n = 1/2Δt is called the Nyquist frequency. When spectra are presented for digital data, the highest frequency shown is the Nyquist frequency.

What happens to signal above Nyquist frequency?

When a component of the signal is above the Nyquist, a sampling error occurs that is called aliasing. Aliasing “names” a frequency above Nyquist by an “alias” the same distance below Nyquist. Sinusoidal signal at 1.3 times Nyquist before sampling into pixels.