Convolution between modified Bessel function and sinc function
0
$begingroup$
Would it be possible to calculate the following convolution analytically
$$
K_0(xi r) * frac{sin(r)}{r},
$$
where $K_0$ is a modified Bessel function of the second kind and $*$ denotes convolution.
Thanking you!
Wang Zhe
convolution bessel-functions
asked Dec 17 '18 at 15:28
Zhe WangZhe Wang
112
$endgroup$
add a comment |
0
$begingroup$
Would it be possible to calculate the following convolution analytically
$$
K_0(xi r) * frac{sin(r)}{r},
$$
where $K_0$ is a modified Bessel function of the second kind and $*$ denotes convolution.
Thanking you!
Wang Zhe
convolution bessel-functions
asked Dec 17 '18 at 15:28
Zhe WangZhe Wang
112
$endgroup$
$begingroup$
What have you tried so far, dear :)
$endgroup$
– Nosrati
Dec 17 '18 at 15:35
$begingroup$
Hi @Nosrati, I am trying to solving this problem link, and was wondering if it can be simplified to the current one. I am not sure if I am on the right track, please, could you point me out. Thank you!
$endgroup$
– Zhe Wang
Dec 17 '18 at 15:55
$begingroup$
Is the convolution a 1D convolution, or a 2D convolution of 2 circularly symmetric functions?
$endgroup$
– Andy Walls
Dec 23 '18 at 20:42
$begingroup$
Merry Christmas! It would be a 2D convolution with circular symmetry.
$endgroup$
– Zhe Wang
Dec 24 '18 at 21:49
add a comment |
0
0
0
$begingroup$
Would it be possible to calculate the following convolution analytically
$$
K_0(xi r) * frac{sin(r)}{r},
$$
where $K_0$ is a modified Bessel function of the second kind and $*$ denotes convolution.
Thanking you!
Wang Zhe
convolution bessel-functions
asked Dec 17 '18 at 15:28
Zhe WangZhe Wang
112
$endgroup$
Would it be possible to calculate the following convolution analytically
$$
K_0(xi r) * frac{sin(r)}{r},
$$
where $K_0$ is a modified Bessel function of the second kind and $*$ denotes convolution.
Thanking you!
Wang Zhe
convolution bessel-functions
convolution bessel-functions
asked Dec 17 '18 at 15:28
Zhe WangZhe Wang
112
asked Dec 17 '18 at 15:28
Zhe WangZhe Wang
112
asked Dec 17 '18 at 15:28
Zhe WangZhe Wang
112
asked Dec 17 '18 at 15:28
Zhe WangZhe Wang
112
asked Dec 17 '18 at 15:28
Zhe WangZhe Wang
112
112
$begingroup$
What have you tried so far, dear :)
$endgroup$
– Nosrati
Dec 17 '18 at 15:35
$begingroup$
Hi @Nosrati, I am trying to solving this problem link, and was wondering if it can be simplified to the current one. I am not sure if I am on the right track, please, could you point me out. Thank you!
$endgroup$
– Zhe Wang
Dec 17 '18 at 15:55
$begingroup$
Is the convolution a 1D convolution, or a 2D convolution of 2 circularly symmetric functions?
$endgroup$
– Andy Walls
Dec 23 '18 at 20:42
$begingroup$
Merry Christmas! It would be a 2D convolution with circular symmetry.
$endgroup$
– Zhe Wang
Dec 24 '18 at 21:49
add a comment |
$begingroup$
What have you tried so far, dear :)
$endgroup$
– Nosrati
Dec 17 '18 at 15:35
$begingroup$
Hi @Nosrati, I am trying to solving this problem link, and was wondering if it can be simplified to the current one. I am not sure if I am on the right track, please, could you point me out. Thank you!
$endgroup$
– Zhe Wang
Dec 17 '18 at 15:55
$begingroup$
Is the convolution a 1D convolution, or a 2D convolution of 2 circularly symmetric functions?
$endgroup$
– Andy Walls
Dec 23 '18 at 20:42
$begingroup$
Merry Christmas! It would be a 2D convolution with circular symmetry.
$endgroup$
– Zhe Wang
Dec 24 '18 at 21:49
$begingroup$
What have you tried so far, dear :)
$endgroup$
– Nosrati
Dec 17 '18 at 15:35
$begingroup$
What have you tried so far, dear :)
$endgroup$
– Nosrati
Dec 17 '18 at 15:35
$begingroup$
Hi @Nosrati, I am trying to solving this problem link, and was wondering if it can be simplified to the current one. I am not sure if I am on the right track, please, could you point me out. Thank you!
$endgroup$
– Zhe Wang
Dec 17 '18 at 15:55
$begingroup$
Hi @Nosrati, I am trying to solving this problem link, and was wondering if it can be simplified to the current one. I am not sure if I am on the right track, please, could you point me out. Thank you!
$endgroup$
– Zhe Wang
Dec 17 '18 at 15:55
$begingroup$
Is the convolution a 1D convolution, or a 2D convolution of 2 circularly symmetric functions?
$endgroup$
– Andy Walls
Dec 23 '18 at 20:42
$begingroup$
Is the convolution a 1D convolution, or a 2D convolution of 2 circularly symmetric functions?
$endgroup$
– Andy Walls
Dec 23 '18 at 20:42
$begingroup$
Merry Christmas! It would be a 2D convolution with circular symmetry.
$endgroup$
– Zhe Wang
Dec 24 '18 at 21:49
$begingroup$
Merry Christmas! It would be a 2D convolution with circular symmetry.
$endgroup$
– Zhe Wang
Dec 24 '18 at 21:49
add a comment |
0
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$begingroup$
What have you tried so far, dear :)
$endgroup$
– Nosrati
Dec 17 '18 at 15:35
$begingroup$
Hi @Nosrati, I am trying to solving this problem link, and was wondering if it can be simplified to the current one. I am not sure if I am on the right track, please, could you point me out. Thank you!
$endgroup$
– Zhe Wang
Dec 17 '18 at 15:55
$begingroup$
Is the convolution a 1D convolution, or a 2D convolution of 2 circularly symmetric functions?
$endgroup$
– Andy Walls
Dec 23 '18 at 20:42
$begingroup$
Merry Christmas! It would be a 2D convolution with circular symmetry.
$endgroup$
– Zhe Wang
Dec 24 '18 at 21:49