*
Min Max

The sinc function

*
, also called the "sampling function," is a function that arises frequently in signal processing and the theory of Fourier transforms. The full name of the function is "sine cardinal," but it is commonly referred to lớn by its abbreviation, "sinc." There are two definitions in common use. The one adopted in this work defines


*

where

*
is the sine function, plotted above.

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This has the normalization


*

This function is implemented in the briz15.comLanguage as Sinc.

*
Min Max
Re
Im

When extended into the complex plane,

*
is illustrated above.

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*

An interesting property of

*
is that the phối of local extrema of
*
corresponds to its intersections with the cosine function
*
, as illustrated above.