MIMO radar beampattern optimization with ripple control using sum-of-squares representation

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Abstract

In this paper, we introduce a MIMO radar transmit beam-pattern optimization method in which the peak sidelobe level and the ripple of the focus region can be controlled. Using the sum-of-squares representation of trigonometric polynomials, the beampattern optimization can be done without discretizing the angle domain. The disadvantage of this method is that the desired beampattern has to be a piece-wise trigonometric polynomial or piece-wise constant. Given that the actual beampattern is a trigonometric polynomial, this constraint on the desired beampattern does not incur a loss of performance. It is shown that considerable reduction in computational complexity with equal or smaller approximation error compared to the discretized optimization approach can be achieved when optimizing two-dimensional beampatterns.

Original languageEnglish
Title of host publicationConference Record of 51st Asilomar Conference on Signals, Systems and Computers, ACSSC 2017
EditorsMichael B. Matthews
PublisherIEEE
Pages578-583
Number of pages6
Volume2017-October
ISBN (Electronic)9781538618233
DOIs
Publication statusPublished - 2017
MoE publication typeA4 Article in a conference publication
EventAsilomar Conference on Signals, Systems & Computers - Pacific Grove, United States
Duration: 29 Oct 20171 Nov 2017
Conference number: 51

Publication series

NameAsilomar Conference on Signals, Systems, and Computers proceedings
ISSN (Electronic)2576-2303

Conference

ConferenceAsilomar Conference on Signals, Systems & Computers
Abbreviated titleASILOMAR
CountryUnited States
CityPacific Grove
Period29/10/201701/11/2017

Keywords

  • beampattern design
  • convex optimization
  • MIMO radar
  • sum-of-squares representation
  • transmit beamforming

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  • Cite this

    Aittomäki, T., & Koivunen, V. (2017). MIMO radar beampattern optimization with ripple control using sum-of-squares representation. In M. B. Matthews (Ed.), Conference Record of 51st Asilomar Conference on Signals, Systems and Computers, ACSSC 2017 (Vol. 2017-October, pp. 578-583). (Asilomar Conference on Signals, Systems, and Computers proceedings). IEEE. https://doi.org/10.1109/ACSSC.2017.8335407