Difference between revisions of "Manuals/calci/SINC"

Revision as of 13:36, 9 May 2017

SINC(X)

This function shows the value of the cardinal sin function.
In $SINC(X)$ , $X$ is any real number.
The full name of the function is sine cardinal,but it is commonly referred to by its abbreviation, Sinc.
The unnormalized SINC function is defined by :

$SINC(X)={\begin{cases}1&for&x=0\\{\frac {Sinx}{x}}&Otherwise\\\end{cases}}$

The normalized SINC function is defined by Failed to parse (unknown function "\pix"): {\displaystyle SINC(X)= \frac{SIN(\pi)x}{\pix}} .
The value at x = 0 is defined to be the limiting value Sinc(0) = 1.
The only difference between the two definitions is in the scaling of the independent variable (the x-axis) by a factor of π.

@@ Line 11: / Line 11: @@
 \frac{Sin x}{x} & Otherwise\\
 \end{cases}</math>
-*The normalized SINC function is defined by <math>SINC(X)= \frac{SIN(pi())x}{pi()x}</math> .
+*The normalized SINC function is defined by <math>SINC(X)= \frac{SIN(\pi)x}{\pix}</math> .
 *The value at x = 0 is defined to be the limiting value Sinc(0) = 1.
 *The only difference between the two definitions is in the scaling of the independent variable (the x-axis) by a factor of π.