# Symbols:I/Sampling Function

## Sampling Function

$\map {\operatorname {III} } x$

The sampling function is the real function $\operatorname {III}: \R \to \R$ defined as:

$\forall x \in \R: \map {\operatorname {III} } x := \displaystyle \sum_{n \mathop \in \Z} \map \delta {x - n}$

where $\delta$ denotes the Dirac delta function.

The $\LaTeX$ code for $\map {\operatorname {III} } x$ is \map {\operatorname {III} } x .