HOS-Based Semi-Blind Spatial Equalization for MIMO Rayleigh Fading Channels

Zhiguo Ding, Tharm Ratnarajah, C. F. N. Cowan

Research output: Contribution to journalArticlepeer-review


In this paper, we concentrate on the direct semi-blind spatial equalizer design for MIMO systems with Rayleigh fading channels. Our aim is to develop an algorithm which can outperform the classical training-based method with the same training information used and avoid the problems of low convergence speed and local minima due to pure blind methods. A general semi-blind
cost function is first constructed which incorporates both the
training information from the known data and some kind of
higher order statistics (HOS) from the unknown sequence. Then,
based on the developed cost function, we propose two semi-blind
iterative and adaptive algorithms to find the desired spatial equalizer.
To further improve the performance and convergence speed
of the proposed adaptive method, we propose a technique to find
the optimal choice of step size. Simulation results demonstrate the
performance of the proposed algorithms and comparable schemes.
Original languageEnglish
Pages (from-to)248 - 255
JournalIEEE Transactions on Signal Processing
Issue number1
Publication statusPublished - 1 Jan 2008


  • Blind source separation
  • higher-order statistics
  • multiple-input–multiple-output (MIMO) systems
  • semi-blind methods
  • spatial equalization


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