An apodization function given by
(1)
|
which has full width at half maximum of . This function is defined so
that the coefficients are approximations in the general
expansion
(2)
|
to
(3)
| |||
(4)
| |||
(5)
|
which produce zeros of at
and
.
The corresponding instrument function is
(6)
|
where
is the sinc function. It is full
width at half maximum is
.