Multipath estimation based on modified ε-constrained rank-based differential evolution with minimum error entropy

Lan Cheng, Hong Yue, Yanjun Xing, Mifeng Ren

Research output: Contribution to journalArticle

3 Citations (Scopus)
11 Downloads (Pure)


Multipath is one of the dominant error sources for high-precision positioning systems, such as global navigation satellite systems (GNSS). The minimum mean square error (MSE) criterion is usually employed for multipath estimation under the assumption of Gaussian noise. For non-Gaussian noise as appeared in most practical applications, alternative solutions are required for multipath estimation. In this work, a multipath estimation algorithm is proposed based on the minimum error entropy (MEE) criterion under Gaussian or non-Gaussian noises. A key advantage of using MEE is that it can minimize the randomness of error signals, however, the shift-invariance characteristics in MEE may lead to a bias of the estimation result. To mitigate such a bias, an improved estimation strategy is proposed by integrating the second-order central moment of the estimation error together with the prior information of multipath parameters as a constraint. The multipath estimation problem is thus formulated as a constrained optimization problem. A modified ε-constrained rank-based differential evolution (εRDE) algorithm is developed to find the optimal solution. The effectiveness of the proposed algorithm, in terms of reducing the multipath estimation error and minimizing the randomness in the error signal, has been examined through case studies with Gaussian and non-Gaussian noises.
Original languageEnglish
Pages (from-to)61569-61582
Number of pages14
JournalIEEE Access
Issue number1
Early online date9 Oct 2018
Publication statusPublished - 11 Nov 2018


  • multipath estimation
  • constrained optimisation
  • mean square error
  • minimum error entropy

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