damped sine
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last updated: 2003-12-09 |

where y=1 for x=0. The
sine cardinal function (or cardinal sine function) can be seen as
an harmonic oscillation for which the amplitude
diminishes proportionally with time.
This (non-periodic) damped sine function is also called the sinc
function sinc() (being an abbreviation for 'sine cardinal').
Some authors
use 2x/p instead of x. The function is found in
the areas of signal processing and Fourier analysis. The function is the Fourier
transform of a rectangular pulse, the rectangle
function.
The function is equivalent to the spherical
Bessel function of the first kind, of order 0: j0().
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