Symbols:I/Sampling Function

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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 .


Sources