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 .

Sources

• 1978: Ronald N. Bracewell: The Fourier Transform and its Applications (2nd ed.) ... (previous) ... (next): Frontispiece
• 1978: Ronald N. Bracewell: The Fourier Transform and its Applications (2nd ed.) ... (previous) ... (next): Chapter $4$: Notation for some useful Functions: Summary of special symbols: Table $4.1$ Special symbols
• 1978: Ronald N. Bracewell: The Fourier Transform and its Applications (2nd ed.) ... (previous) ... (next): Inside Back Cover