Constant-envelope waveform design techniques for collocated MIMO radar

S. Ahmed*, J. S. Thompson, Y. Petillot, B. Mulgrew

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review


MIMO-radars have many advantages over the phased-array radars, such as high spatial resolution, better parametric identifiably and much flexibility to design transmit beampattern. The design of transmit beampatterns using MIMO radar generally requires the waveforms to have arbitrary auto-and cross-correlation. The synthesis of the waveform correlation/covariance matrix, R, to desig desired beampattern is a constrained optimisation problem. In our proposed algorithm constraints and the redundant information in the covariance matrix, R, are exploited to synthesise it in closed-form. The drawback of this algorithm is that it may yields a pseudo covariance matrix (PCM), which is not guaranteed to be positive-semidefinite (PSD). The PCM can be easily converted into PSD covariance matrix using eigenvalue decomposition and scaling methods. Next a novel closed-form algorithm for generating the constant-envelope (CE) waveforms to realise the synthesised covariance matrix R is proposed. Here, Gaussian random-variables (RV's) are mapped onto the CE RV's by a memoryless non-linear transformation, which converts the problem of finding the non-Gaussian RV's to realise a given covariance matrix R into finding the Gaussian RV's to realise covariance matrix Rg. Simulation results are presented to demonstrate the effectiveness of both methodologies.

Original languageEnglish (US)
Title of host publicationInternational Conference on Synthetic Aperture Sonar and Synthetic Aperture Radar 2010, Proceedings of the Institute of Acoustics
Number of pages6
EditionPART 4
StatePublished - 2010
Externally publishedYes
EventInternational Conference on Synthetic Aperture Sonar and Synthetic Aperture Radar 2010 - Lerici, Italy
Duration: Sep 13 2010Sep 14 2010

Publication series

NameProceedings of the Institute of Acoustics
NumberPART 4
ISSN (Print)1478-6095


OtherInternational Conference on Synthetic Aperture Sonar and Synthetic Aperture Radar 2010


  • Collocated antennas
  • Constant-envelope waveforms
  • MIMO radar

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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