Manuals/calci/SINC

SINC(X)

• $X$ is any real number.

Description

• 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

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

• The normalized SINC function is defined by $SINC(X)={\frac {SIN(pi())x}{pi()x}}$ .
• 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.