Fast computations of constant envelope waveforms for MIMO radar transmit beampattern

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

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)


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. © 2010 IEEE.

Original languageEnglish
Title of host publication2010 IEEE Radar Conference: Global Innovation in Radar, RADAR 2010 - Proceedings
Number of pages6
Publication statusPublished - 2010
EventIEEE International Radar Conference 2010, RADAR 2010 - Washington DC, United States
Duration: 10 May 201014 May 2010


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


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


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