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Space–time blind equalisation in impulsive noise

Space–time blind equalisation in impulsive noise

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  • Author(s): S. Li 1, 2 ; T.Sh. Qiu 1 ; Sh.F. Zhang 2
    • View affiliations
    • Affiliations: 1: School of Electronic and Information Engineering, Dalian University of Technology, Dalian, People's Republic of China
      2: College of Information Engineering, Dalian Maritime University, Dalian, People's Republic of China
  • Source: Volume 3, Issue 6, November 2009, p. 445 – 458
    DOI:  10.1049/iet-spr.2009.0005 , Print ISSN 1751-9675, Online ISSN 1751-9683
© The Institution of Engineering and Technology
Published

The presence of non-Gaussian impulsive noise in wireless system can degrade the performance of existing equalisers and signal detectors. The problem of blind source separation and equalisation for multiple-input/multiple-output (MIMO) channels under heavy-tailed impulsive noise environment is studied. A generalised multi-user constant modulus (CM) cost function is proposed by employing the fractional lower order CM property of the equaliser input signals as well as the fractional lower order cross-correlations between them. The associated adaptive blind equalisation algorithm based on a stochastic gradient descent method is defined as fractional lower order multi-user constant modulus algorithm (FMU_CMA), which is able to mitigate impulsive channel noise while recovering all input signals simultaneously. The steady-state mean-square error (MSE) performance of the FMU_CMA is studied in a noise-free environment; the approximate expression is derived based on the energy-preserving relation and the Taylor series expansion. Simulation studies are undertaken to support the analysis with CM and non-CM signal.

Inspec keywords: MIMO communication; blind equalisers; signal detection; stochastic processes; radio networks; impulse noise; mean square error methods; wireless channels; interference suppression; gradient methods; blind source separation

Other keywords: generalised multiuser constant modulus cost function; wireless system; energy-preserving relation; steady-state mean-square error performance; Taylor series expansion; signal detectors; stochastic gradient descent method; MIMO channel; multiple-input multiple-output channel; space-time blind equalisation; impulsive channel noise mitigation; nonGaussian impulsive noise; blind source separation; fractional lower order cross-correlation

Subjects: Electromagnetic compatibility and interference; Signal detection; Radio links and equipment; Other topics in statistics; Communication channel equalisation and identification; Interpolation and function approximation (numerical analysis)

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