Minimax Design of Constant Modulus MIMO Waveforms

Zhen Lin, Wenqiang Pu, Zhi Quan Luo

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


Waveform optimization is a crucial step in the design of a multiple-input multiple-output (MIMO) system. This paper considers the joint optimization of constant modulus waveforms and mismatched (or matched) receive filters to suppress the auto- and cross-correlations using the minimax (ell-{infty}) design criterion. For practical waveform length and system size, the waveform design problem becomes quite challenging due to the large problem size (more than 10 {5} unimodular complex variables and 10 {6} nonlinear constraints). In addition to the large size, this problem is nonconvex, nonsmooth, and as such, can not be handled effectively by the existing waveform design algorithms or off-the-shelve optimization tools. This paper develops an efficient primal-dual type algorithm with low per-iteration complexity to solve this problem. Numerical comparison shows that the waveforms based on the minimax design outperform those obtained from the existing ell-{2} norm design by 4-5 dBs in terms of peak sidelobe levels (PSL).

Original languageEnglish (US)
Title of host publicationConference Record of the 52nd Asilomar Conference on Signals, Systems and Computers, ACSSC 2018
EditorsMichael B. Matthews
PublisherIEEE Computer Society
Number of pages5
ISBN (Electronic)9781538692189
StatePublished - Jul 2 2018
Event52nd Asilomar Conference on Signals, Systems and Computers, ACSSC 2018 - Pacific Grove, United States
Duration: Oct 28 2018Oct 31 2018

Publication series

NameConference Record - Asilomar Conference on Signals, Systems and Computers
ISSN (Print)1058-6393


Conference52nd Asilomar Conference on Signals, Systems and Computers, ACSSC 2018
Country/TerritoryUnited States
CityPacific Grove

Bibliographical note

Publisher Copyright:
© 2018 IEEE.


  • MIMO system
  • auto-/cross-correlation
  • mismatched (or matched) filters
  • primaldual method
  • unimodular waveforms


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