Symbols:S/Filtering Function

Filtering Function

$\map {\operatorname {sinc} } x$

The filtering function is the real function $\operatorname {sinc}: \R \to \R$ defined as:

$\forall x \in \R: \map {\operatorname {sinc} } x := \dfrac {\sin \pi x} {\pi x}$

where $\sin$ denotes the (real) sine function.

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