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Multi-frequency synthesis technique based on maximum entropy method. On the importance of correction of the frequency-dependent VLBI core position shift

Transactions of IAA RAS, issue 24, 265–270 (2012)

Keywords: radio source, radio brightness, multifrequency synthesis algorithm

Abstract

We propose the multifrequency synthesis (MFS) algorithm with the spectral correction offrequency-dependent source brightness distribution based on the maximum entropy method. In order to take into account the spectral terms of nth order in the Taylor expansion for the frequency-dependent brightness distribution, we use a generalized form of the maximum entropy method. This is suitable for the reconstruction of not only positive-definite functions, but also sign-variable functions. With the proposed algorithm, we aim to produce both an improved total intensity image and a two-dimensional spectral index distribution over the source. We also consider the problem of the frequency-dependent variation of the radiocore positions of self-absorbed active galactic nuclei, which should be taken into account in a correct MFS.

Citation

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RIS

A. T. Bajkova, A. B. Pushkarev . Multi-frequency synthesis technique based on maximum entropy method. On the importance of correction of the frequency-dependent VLBI core position shift // Transactions of IAA RAS. — 2012. — Issue 24. — P. 265–270.

@article{bajkova2012,
  abstract = {We propose the multifrequency synthesis (MFS) algorithm with the spectral correction offrequency-dependent source brightness distribution based on the maximum entropy method. In order to take into account the spectral terms of nth order in the Taylor expansion for the frequency-dependent brightness distribution, we use a generalized form of the maximum entropy method. This is suitable for the reconstruction of not only positive-definite functions, but also sign-variable functions. With the proposed algorithm, we aim to produce both an improved total intensity image and a two-dimensional spectral index distribution over the source. We also consider the problem of the frequency-dependent variation of the radiocore positions of self-absorbed active galactic nuclei, which should be taken into account in a correct MFS.},
  author = {A.~T. Bajkova and A.~B. Pushkarev},
  issue = {24},
  journal = {Transactions of IAA RAS},
  keyword = {radio source, radio brightness, multifrequency synthesis algorithm},
  pages = {265--270},
  title = {Multi-frequency synthesis technique based on maximum entropy method. On the importance of correction of the frequency-dependent VLBI core position shift},
  url = {http://iaaras.ru/en/library/paper/863/},
  year = {2012}
}

TY  - JOUR
TI  - Multi-frequency synthesis technique based on maximum entropy method. On the importance of correction of the frequency-dependent VLBI core position shift
AU  - Bajkova, A. T.
AU  - Pushkarev, A. B.
PY  - 2012
T2  - Transactions of IAA RAS
IS  - 24
SP  - 265
AB  - We propose the multifrequency synthesis (MFS) algorithm with the
spectral correction offrequency-dependent source brightness
distribution based on the maximum entropy method. In order to take
into account the spectral terms of nth order in the Taylor expansion
for the frequency-dependent brightness distribution, we use a
generalized form of the maximum entropy method. This is suitable for
the reconstruction of not only positive-definite functions, but also
sign-variable functions. With the proposed algorithm, we aim to
produce both an improved total intensity image and a two-dimensional
spectral index distribution over the source. We also consider the
problem of the frequency-dependent variation of the radiocore
positions of self-absorbed active galactic nuclei, which should be
taken into account in a correct MFS.
UR  - http://iaaras.ru/en/library/paper/863/
ER  -