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Steady-state and Tracking Analysis of Fractional Lower-order Constant Modulus Algorithm

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Abstract

The constant modulus algorithm based on fractional lower-order statistics (FLOS_CMA) has been proven to be an effective blind equalization method under α-stable noise. But there have been little results in the literature about the performance of this algorithm. In this paper, the steady-state mean-square error (MSE) performance of the FLOS_CMA is studied, and the approximate analytical expressions for real- and complex-valued data under stationary and non-stationary environments are derived, respectively, based on the energy-preserving relation and a Taylor series expansion. Based on the derived expression, an estimate for the FLOS_CMA step-size interval to ensure its convergence and stability is obtained, when it is initialized sufficiently close to the zero-forcing solution. Finally, simulation studies are undertaken to support the analysis.

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Authors and Affiliations

  1. Information Science Technology College, Dalian Maritime University, Dalian, China

    S. Li & L.-M. Song

  2. Electronic and Information Engineering College, Dalian University of Technology, Dalian, China

    S. Li & T.-S. Qiu

Authors
  1. S. Li
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  2. L.-M. Song
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  3. T.-S. Qiu
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Correspondence to S. Li.

Additional information

This work was supported in part by the National Science Foundation of China under Grant 60872122 and 61001090 and PhD Start-up Research Fund of Liaoning Province under Grant 20101006.

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Li, S., Song, LM. & Qiu, TS. Steady-state and Tracking Analysis of Fractional Lower-order Constant Modulus Algorithm. Circuits Syst Signal Process 30, 1275–1288 (2011). https://doi.org/10.1007/s00034-011-9293-x

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  • DOI: https://doi.org/10.1007/s00034-011-9293-x

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