Fast computations of constant envelope waveforms for MIMO radar transmit beampattern

Sajid Ahmed*, J. S. Thompson, Bernard Mulgrew, Y. Petillot

*Corresponding author for this work

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

2 Scopus citations


Designing transmit beampattern with MIMO radars generally requires the waveforms to be able to have arbitrary cross-correlation values. In contrast to the available algorithms, the proposed technique provides a closed-form solution for the synthesis of covariance matrix, R, of the waveforms to obtain desired beampattern match. To synthesis R the constraints and redundant information in R are leveraged, which convert the constrained problem into un-constrained problem. Next a novel method for generating the constant-envelope (CE) waveforms to realise the synthesised covariance matrix, R, is proposed. This method also yields a closed-form solution and choose the symbols from the binary-phase shift-keying (BPSK). 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 publication2010 IEEE Radar Conference
Subtitle of host publicationGlobal Innovation in Radar, RADAR 2010 - Proceedings
Number of pages6
StatePublished - Jul 30 2010
EventIEEE International Radar Conference 2010, RADAR 2010 - Washington DC, United States
Duration: May 10 2010May 14 2010

Publication series

NameIEEE National Radar Conference - Proceedings
ISSN (Print)1097-5659


OtherIEEE International Radar Conference 2010, RADAR 2010
Country/TerritoryUnited States
CityWashington DC


  • Beampatter design
  • Co-located antennas
  • MIMO-radars

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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