Superior step-size theorem and its application

Parallel variable step-size LMS filters algorithm
  • Gu Yuantao 
  • Tang Kun 
  • Cui Huijuan 


With independence assumption, this paper proposes and proves the superior step-size theorem on least mean square (LMS) algorithm, from the view of minimizing mean squared error (MSE). Following the theorem we construct a parallel variable step-size LMS filters algorithm. The theoretical model of the proposed algorithm is analyzed in detail. Simulations show the proposed theoretical model is quite close to the optimal variable step-size LMS (OVS-LMS) model. The experimental learning curves of the proposed algorithm also show the fastest convergence and fine tracking performance. The proposed algorithm is therefore a good realization of the OVS-LMS model.


adaptive filtering LMS superior step-size theorem parallel variable step-size LMS filters algorithm 


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Copyright information

© Science in China Press 2004

Authors and Affiliations

  1. 1.State Key Laboratory on Microwave and Digital Communications, Department of Electronics EngineeringTsinghua UniversityBeijingChina

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