Robust wideband beamforming by the hybrid steepest descent method

Konstantinos Slavakis, Isao Yamada

Research output: Contribution to journalArticlepeer-review

69 Scopus citations


This paper uses the Hybrid Steepest Descent Method (HSDM) to design robust smart antennas. Several design criteria as well as robustness are mathematically described by a finite collection of closed convex sets in a real Euclidean space. Desirable beamformers are defined as points of the generalized convex feasible set which is well defined even in the case of inconsistent design criteria. A quadratic cost function is formed by the correlations of the incoming data, and the HSDM constructs a point sequence that (strongly) converges to the (unique) minimizer of the cost function over the generalized convex feasible set. Numerical examples validate the proposed design.

Original languageEnglish (US)
Pages (from-to)4511-4522
Number of pages12
JournalIEEE Transactions on Signal Processing
Issue number9
StatePublished - Sep 1 2007


  • Convex feasibility problems
  • Fixed point theory
  • Hybrid steepest descent method
  • Wideband beamforming

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