J4 ›› 2014, Vol. 41 ›› Issue (4): 123-129+143.doi: 10.3969/j.issn.1001-2400.2014.04.022

• Original Articles • Previous Articles     Next Articles

Unconstrained criterion for blind equalization using the property of the norm

WANG Dalei1;YANG Bin1;WU Ying1;WANG Xiuxiu2   

  1. (1. Institute of Information System Engineering, Information Engineering Univ., Zhengzhou  450002, China;
    2. State Key Lab. of Integrated Service Networks, Xidian Univ., Xi'an  710071, China)
  • Received:2013-04-09 Online:2014-08-20 Published:2014-09-25
  • Contact: WANG Dalei E-mail:daleipla@163.com

Abstract:

A novel unconstrained criterion for blind equalization is proposed. The algorithm is based on minimization of the difference between two norms, and does not need to impose any constraint on the equalizer coefficients, which can be realized by the batch processing method and online adaptive approach. Based on the convergence proof under the noiseless condition, we show that a perfect equalization solution is achieved at every local optimum of the function, and that the amplitude of the input signal can be recovered. The validity and good performance in terms of convergence and the steady-state error of the proposed algorithm are verified through computer simulations.

Key words: blind equalization, local convergence, vector norm, unconstrained criterion

CLC Number: 

  • 911.5