Notation: curly bracket with vectors as indices of fourier transform
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Currently reading this paper (pdf warning) and I am wondering what the following notation means. (Look at equations (4), (7) and (14) for examples)
I am confused by the indices of the curly brackets.
Equation 4:
$f_r(xi) = gamma_i frac{1}{A_s}frac{1}{lambda^2}|mathcal{F}{mathcal{T(x)}}_{xi_{1,2}}|^2$
According to the paper $xi_i$ are direction vectors, $mathcal{F}$ is a fourier transform.
I am assuming they indicate the vectors that span the space in which the fourier transform is done. Am I right in this?
notation fourier-transform
asked Nov 17 at 17:05
K. Kellner
11
add a comment |
up vote
0
down vote
favorite
Currently reading this paper (pdf warning) and I am wondering what the following notation means. (Look at equations (4), (7) and (14) for examples)
I am confused by the indices of the curly brackets.
Equation 4:
$f_r(xi) = gamma_i frac{1}{A_s}frac{1}{lambda^2}|mathcal{F}{mathcal{T(x)}}_{xi_{1,2}}|^2$
According to the paper $xi_i$ are direction vectors, $mathcal{F}$ is a fourier transform.
I am assuming they indicate the vectors that span the space in which the fourier transform is done. Am I right in this?
notation fourier-transform
asked Nov 17 at 17:05
K. Kellner
11
add a comment |
up vote
0
down vote
favorite
up vote
0
down vote
favorite
Currently reading this paper (pdf warning) and I am wondering what the following notation means. (Look at equations (4), (7) and (14) for examples)
I am confused by the indices of the curly brackets.
Equation 4:
$f_r(xi) = gamma_i frac{1}{A_s}frac{1}{lambda^2}|mathcal{F}{mathcal{T(x)}}_{xi_{1,2}}|^2$
According to the paper $xi_i$ are direction vectors, $mathcal{F}$ is a fourier transform.
I am assuming they indicate the vectors that span the space in which the fourier transform is done. Am I right in this?
notation fourier-transform
asked Nov 17 at 17:05
K. Kellner
11
Currently reading this paper (pdf warning) and I am wondering what the following notation means. (Look at equations (4), (7) and (14) for examples)
I am confused by the indices of the curly brackets.
Equation 4:
$f_r(xi) = gamma_i frac{1}{A_s}frac{1}{lambda^2}|mathcal{F}{mathcal{T(x)}}_{xi_{1,2}}|^2$
According to the paper $xi_i$ are direction vectors, $mathcal{F}$ is a fourier transform.
I am assuming they indicate the vectors that span the space in which the fourier transform is done. Am I right in this?
notation fourier-transform
notation fourier-transform
asked Nov 17 at 17:05
K. Kellner
11
asked Nov 17 at 17:05
K. Kellner
11
asked Nov 17 at 17:05
K. Kellner
11
asked Nov 17 at 17:05
K. Kellner
11
asked Nov 17 at 17:05
K. Kellner
11
11
add a comment |
add a comment |
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