Sampling of a continuous function Kronecker's or Dirac's delta?

1. What is the difference between Dirac delta and Kronecker delta?
2. Is Dirac delta a continuous function?
3. What is the sampling property of the delta function?
4. What is the difference between delta function and Dirac delta function?

What is the difference between Dirac delta and Kronecker delta?

In one word, Dirac delta function is for continuous cases, but Kronecker delta is for discrete cases. .

Is Dirac delta a continuous function?

The Dirac delta function, often referred to as the unit impulse or delta function, is the function that defines the idea of a unit impulse in continuous-time. Informally, this function is one that is infinitesimally narrow, infinitely tall, yet integrates to one.

What is the sampling property of the delta function?

The Dirac delta function, δ(x), is a handy tool for sampling theory. It has zero width, infinite height, and unit area. For sampling, the delta function has two important properties. = 1/T.

What is the difference between delta function and Dirac delta function?

The delta function is a generalized function that can be defined as the limit of a class of delta sequences. The delta function is sometimes called "Dirac's delta function" or the "impulse symbol" (Bracewell 1999). It is implemented in the Wolfram Language as DiracDelta[x].