Circuits, Systems, and Signal Processing

, Volume 38, Issue 5, pp 2387–2401 | Cite as

A Robust Maximum Likelihood Algorithm for Blind Equalization of Communication Systems Impaired by Impulsive Noise

  • Jin LiEmail author
  • Da-Zheng Feng
  • Bingbing Li
  • Weike Nie
Short Paper


To improve the performance of the blind equalizer (BE) in impulsive noise environments, a robust maximum likelihood algorithm (RMLA) is proposed for the communication systems using quadrature amplitude modulation signals. A novel robust maximum likelihood cost function based on the constant modulus algorithm is constructed to effectively suppress the influence of impulsive noise and ensure the computational stability. Theoretical analysis is presented to illustrate the robustness and good computational stability of the proposed algorithm under the impulsive noise ambient. Moreover, it is proved that the weight vector of the proposed BE can converge stably by LaSalle invariance principle. Simulation results are provided to further confirm the robustness and stability of the proposed RMLA.


α-Stable distribution Blind equalization Robust maximum likelihood algorithm Inter-symbol interference Constant modulus algorithm 



This work was supported in part by the National Natural Science Foundation of China under Grants 61801363, 61271299 and 61501348, the Natural Science Foundation of Shaanxi Province under Grant 2017JM6039, the Basic Scientific Research Foundation of Xidian University under Grants 8002/20101166309 and 8002/20103166309.


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© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.State Key Laboratory of Integrated Service NetworksXidian UniversityXi’anPeople’s Republic of China
  2. 2.National Laboratory of Radar Signal ProcessingXidian UniversityXi’anPeople’s Republic of China
  3. 3.School of Information Science and TechnologyNorthwest UniversityXi’anPeople’s Republic of China

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