A minimum gradient algorithm for phased-array null formation

Formation of the null at the phased‐array beam pattern pointed toward the source of a radio frequency interference (RFI) can serve to mitigate the effects of that RFI. Several algorithms for creating a null at the phased‐array beam pattern have been designed. On the basis of an array side lobe minim...

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Published inRadio science Vol. 40; no. 2
Main Author Kogan, Leonid
Format Journal Article
LanguageEnglish
Published Blackwell Publishing Ltd 01.04.2005
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ISSN0048-6604
1944-799X
1944-799X
DOI10.1029/2004RS003140

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Abstract Formation of the null at the phased‐array beam pattern pointed toward the source of a radio frequency interference (RFI) can serve to mitigate the effects of that RFI. Several algorithms for creating a null at the phased‐array beam pattern have been designed. On the basis of an array side lobe minimization algorithm (Kogan, 2000), a new method for creating a null at the phased‐array beam pattern is described here. The algorithm is a straightforward one and can have an advantage in creating wide‐area nulls, especially for phased arrays with a small number of antennas. We have tested this algorithm for a possible Square Kilometre Array antenna station configured as a phased array of 19 antennas and for the Very Large Array configuration D (VLA‐D), working as a phased array for very long baseline interferometry experiments. The null is created at the given area around the given direction. The narrow null (∼0.1 ) deeper than 100 dB level can be achieved at the cost of a 2% decrease in the signal‐to‐noise ratio in the main direction. The creation of such a deep null can be impractical for many reasons, however, first and foremost because the phases and weights would have to be specified with impractical precision. Rounding the phase and weights to 1° and 0.01, respectively raises the null up to ∼50 dB.
AbstractList Formation of the null at the phased‐array beam pattern pointed toward the source of a radio frequency interference (RFI) can serve to mitigate the effects of that RFI. Several algorithms for creating a null at the phased‐array beam pattern have been designed. On the basis of an array side lobe minimization algorithm (Kogan, 2000), a new method for creating a null at the phased‐array beam pattern is described here. The algorithm is a straightforward one and can have an advantage in creating wide‐area nulls, especially for phased arrays with a small number of antennas. We have tested this algorithm for a possible Square Kilometre Array antenna station configured as a phased array of 19 antennas and for the Very Large Array configuration D (VLA‐D), working as a phased array for very long baseline interferometry experiments. The null is created at the given area around the given direction. The narrow null (∼0.1 ) deeper than 100 dB level can be achieved at the cost of a 2% decrease in the signal‐to‐noise ratio in the main direction. The creation of such a deep null can be impractical for many reasons, however, first and foremost because the phases and weights would have to be specified with impractical precision. Rounding the phase and weights to 1° and 0.01, respectively raises the null up to ∼50 dB.
Formation of the null at the phased‐array beam pattern pointed toward the source of a radio frequency interference (RFI) can serve to mitigate the effects of that RFI. Several algorithms for creating a null at the phased‐array beam pattern have been designed. On the basis of an array side lobe minimization algorithm (Kogan, 2000), a new method for creating a null at the phased‐array beam pattern is described here. The algorithm is a straightforward one and can have an advantage in creating wide‐area nulls, especially for phased arrays with a small number of antennas. We have tested this algorithm for a possible Square Kilometre Array antenna station configured as a phased array of 19 antennas and for the Very Large Array configuration D (VLA‐D), working as a phased array for very long baseline interferometry experiments. The null is created at the given area around the given direction. The narrow null (∼0.1 ) deeper than 100 dB level can be achieved at the cost of a 2% decrease in the signal‐to‐noise ratio in the main direction. The creation of such a deep null can be impractical for many reasons, however, first and foremost because the phases and weights would have to be specified with impractical precision. Rounding the phase and weights to 1° and 0.01, respectively raises the null up to ∼50 dB.
Author Kogan, Leonid
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10.1109/8.876326
10.1007/0-306-48080-8_7
10.1109/MAP.2002.1043143
10.1109/TAP.2003.809840
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References Smolders, B., and G. Hampson (2002), Deterministic nulling in phased arrays for the next generation of radio telescopes, IEEE Trans. Antennas Propag., 44(4), 13-22.
Ellingson, S. W., and G. A. Hampson (2002), A subspace tracking approach to interference nulling for phased array based radio telescopes, IEEE Trans. Antennas Propag., 50(1), 25-30.
Kogan, L. (2000), Optimising a large array configuration to minimize the side lobes, IEEE Trans. Antennas Propag., 48(7), 1075-1078.
Ellingson, S. W., and W. Cazemier (2003), Efficient multibeam synthesis with interference nulling for large arrays, IEEE Trans. Antennas Propag., 51(3), 503-511.
Godara, L. C. (1997), Application of antenna arrays to mobile communications, part II: Beam-forming and direction-of-arrival considerations, Proc. IEEE, 85, 1195-1245.
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– reference: Ellingson, S. W., and W. Cazemier (2003), Efficient multibeam synthesis with interference nulling for large arrays, IEEE Trans. Antennas Propag., 51(3), 503-511.
– reference: Smolders, B., and G. Hampson (2002), Deterministic nulling in phased arrays for the next generation of radio telescopes, IEEE Trans. Antennas Propag., 44(4), 13-22.
– reference: Ellingson, S. W., and G. A. Hampson (2002), A subspace tracking approach to interference nulling for phased array based radio telescopes, IEEE Trans. Antennas Propag., 50(1), 25-30.
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  start-page: 503
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  article-title: Efficient multibeam synthesis with interference nulling for large arrays
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  end-page: 1078
  article-title: Optimising a large array configuration to minimize the side lobes
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  start-page: 13
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  year: 2002
  end-page: 22
  article-title: Deterministic nulling in phased arrays for the next generation of radio telescopes
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  article-title: A subspace tracking approach to interference nulling for phased array based radio telescopes
  publication-title: IEEE Trans. Antennas Propag.
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  end-page: 1245
  article-title: Application of antenna arrays to mobile communications, part II: Beam‐forming and direction‐of‐arrival considerations
  publication-title: Proc. IEEE
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Snippet Formation of the null at the phased‐array beam pattern pointed toward the source of a radio frequency interference (RFI) can serve to mitigate the effects of...
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SubjectTerms array
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radio astronomy
Title A minimum gradient algorithm for phased-array null formation
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