Constrained least-squares optimization in conformal array antenna synthesis

Leo Vaskelainen

Research output: Contribution to journalArticleScientificpeer-review

103 Citations (Scopus)


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
Issue number3
Publication statusPublished - 2007
MoE publication typeA1 Journal article-refereed


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


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