Constrained least-squares optimization in conformal array antenna synthesis

Leo Vaskelainen

Research output: Contribution to journalArticleScientificpeer-review

84 Citations (Scopus)

Abstract

The least mean square error of the constrained least-squares optimization method is studied. The phases of non-zero goal values and the phases of non-zero constraint values can be selected by a fast iteration for optimum fit to the goal function amplitude. This kind of modified least-squares optimization method opens up a fast and robust synthesis method for large conformal antenna arrays. Constraints can be written also for the element excitation amplitudes and a phase synthesis with pre-defined amplitudes can be done. Iterative weight-correction technique is used for accurate side-lobe control. Synthesis examples of two-dimensional elliptical and large three-dimensional conformal antenna arrays are presented.
Original languageEnglish
Pages (from-to)859-867
JournalIEEE Transactions on Antennas and Propagation
Volume55
Issue number3
DOIs
Publication statusPublished - 2007
MoE publication typeA1 Journal article-refereed

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Antenna arrays
Mean square error

Keywords

  • antenna arrays
  • conformal antennas
  • least squares methods
  • optimization

Cite this

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Constrained least-squares optimization in conformal array antenna synthesis. / Vaskelainen, Leo.

In: IEEE Transactions on Antennas and Propagation, Vol. 55, No. 3, 2007, p. 859-867.

Research output: Contribution to journalArticleScientificpeer-review

TY - JOUR

T1 - Constrained least-squares optimization in conformal array antenna synthesis

AU - Vaskelainen, Leo

PY - 2007

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N2 - The least mean square error of the constrained least-squares optimization method is studied. The phases of non-zero goal values and the phases of non-zero constraint values can be selected by a fast iteration for optimum fit to the goal function amplitude. This kind of modified least-squares optimization method opens up a fast and robust synthesis method for large conformal antenna arrays. Constraints can be written also for the element excitation amplitudes and a phase synthesis with pre-defined amplitudes can be done. Iterative weight-correction technique is used for accurate side-lobe control. Synthesis examples of two-dimensional elliptical and large three-dimensional conformal antenna arrays are presented.

AB - The least mean square error of the constrained least-squares optimization method is studied. The phases of non-zero goal values and the phases of non-zero constraint values can be selected by a fast iteration for optimum fit to the goal function amplitude. This kind of modified least-squares optimization method opens up a fast and robust synthesis method for large conformal antenna arrays. Constraints can be written also for the element excitation amplitudes and a phase synthesis with pre-defined amplitudes can be done. Iterative weight-correction technique is used for accurate side-lobe control. Synthesis examples of two-dimensional elliptical and large three-dimensional conformal antenna arrays are presented.

KW - antenna arrays

KW - conformal antennas

KW - least squares methods

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EP - 867

JO - IEEE Transactions on Antennas and Propagation

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