Joint Robust Transmit/Receive Adaptive Beamforming for MIMO Radar Using Probability-Constrained Optimization

Weiyu Zhang*, Sergiy A. Vorobyov

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

28 Citations (Scopus)

Abstract

In this letter, a joint robust transmit/receive adaptive beamforming for multiple-input multiple-output (MIMO) radar based on probability-constrained optimization approach is developed in the case of Gaussian and arbitrary distributed mismatches present in both the transmit and receive signal steering vectors. A tight lower bound of the probability constraint is also derived by using duality theory. The formulated probability-constrained robust beamforming problem is nonconvex and NP-hard. However, we reformulate its cost function into a bi-quadratic function while the probability constraint splits into transmit and receive parts. Then, a block coordinate descent method based on second-order cone programming is developed to address the biconvex problem. Simulation results show an improved robustness of the proposed beamforming method as compared to the worst-case and other existing state-of-the-art joint transmit/receive robust adaptive beamforming methods for MIMO radar.

Original languageEnglish
Pages (from-to)112-116
Number of pages5
JournalIEEE Signal Processing Letters
Volume23
Issue number1
DOIs
Publication statusPublished - Jan 2016
MoE publication typeA1 Journal article-refereed

Keywords

  • Duality
  • Gaussian and arbitrary distributed mismatches
  • MIMO radar
  • probability-constrained optimization
  • COLOCATED ANTENNAS
  • COVARIANCE-MATRIX
  • STEERING VECTOR
  • DESIGN
  • CONVERGENCE
  • MINIMIZATION
  • ALGORITHM
  • ARRAYS
  • ERRORS

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