Uniform Apodization Function
المؤلف:
Press, W. H.; Flannery, B. P.; Teukolsky, S. A.; and Vetterling, W. T.
المصدر:
Numerical Recipes in FORTRAN: The Art of Scientific Computing, 2nd ed. Cambridge, England: Cambridge University Press
الجزء والصفحة:
...
24-4-2020
1550
Uniform Apodization Function
An apodization function
 |
(1)
|
having instrument function
 |
(2)
|
The peak of 
is 
. The full width at half maximum of 
can found by setting 
to obtain
 |
(3)
|
and solving for 
, yielding
 |
(4)
|
Therefore, with 
,
 |
(5)
|
The extrema are given by taking the derivative of 
, substituting 
, and setting equal to 0
 |
(6)
|
Solving this numerically gives sidelobes at 0.715148 (
), 1.22951 (0.256749), 1.73544 (
), ....
REFERENCES:
Press, W. H.; Flannery, B. P.; Teukolsky, S. A.; and Vetterling, W. T. Numerical Recipes in FORTRAN: The Art of Scientific Computing, 2nd ed. Cambridge, England: Cambridge University Press, pp. 554-556, 1992.
0
0
الاكثر قراءة في نظرية الاعداد
اخر الاخبار
اخبار العتبة العباسية المقدسة
