Conceptual clarification of Sampling theorem

1. What is sampling theorem explain it?
2. How do you determine the sampling theorem?
3. How many types of sampling theorem are there?
4. What are the applications of the sampling theorem?

What is sampling theorem explain it?

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.

How do you determine the sampling theorem?

The theorem states that, if a function of time, f(t), contains no frequencies of W hertz or higher, then it is completely determined by giving the value of the function at a series of points spaced (2W)⁻¹ seconds apart. The sampling rate of 2W samples per second is called the Nyquist rate.

How many types of sampling theorem are there?

There are three types of sampling techniques: Impulse sampling. Natural sampling. Flat Top sampling.

What are the applications of the sampling theorem?

Sampling process applicable in the conversion of analog to discrete form. Speech recognition systems and pattern recognition systems. Radar and radio navigation system sampling is applicable. Digital watermarking and biometric identification systems, surveillance systems.