Next: About this
document ...
Up: GLESP
Description and Examples
Previous: ntot
Description
rsalm convolves the map with a
symmetric beam via
![\begin{displaymath}
a^{'}_{{\ell}m} = B_{{\ell}}\cdot a_{{\ell}m}
\end{displaymath}](img40.png) |
(6) |
, where
is the expansion in Legendre
polynomials of a symmetric beam.
The symmetric beam can be input by reading in an ASCII file
containing the profile of
, or by providing the
FWHM for
a symmetric Gaussian beam, where
![\begin{displaymath}
B_{{\ell}}= \exp[- \sigma^2 {\ell}({\ell}+1) / 2 ]
\end{displaymath}](img42.png) |
(7) |
and
![\begin{displaymath}
\sigma = \frac{{\rm FWHM}} {\sqrt{8 \ln 2}}.
\end{displaymath}](img43.png) |
(8) |
For deconvolution, a simple Tikhonov regularization scheme is always
applied via
![\begin{displaymath}
a^{''}_{{\ell}m}=\frac{a_{{\ell}m}}{B_{{\ell}}+ \alpha},
\end{displaymath}](img44.png) |
(9) |
where
is the regularization parameter.
Examples
- Convolution:
- De-convolution with Tikhonov regularization:
Next: About this
document ...
Up: GLESP
Description and Examples
Previous: ntot
Gauss Legendre Sky Pixelization