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Kurtosis Driven Variable Step-Size Normalized Least Mean Square Algorithm for RF Repeater

  • Han, Yong-Sik (Department of Electronics Engineering, University of Incheon) ;
  • Yang, Woon-Geun (Department of Electronics Engineering, University of Incheon)
  • Received : 2010.02.26
  • Accepted : 2010.03.31
  • Published : 2010.04.30

Abstract

This paper presents a new Kurtosis driven Variable Step-Size Normalized Least Mean Square (KVSSN-LMS) algorithm to prevent repeater from oscillation due to feedback signal of radio frequency (RF) repeater. To get better Mean Square Error (MSE) performance, step-size is adjusted using the kurtosis. The proposed algorithm shows the better performance of steady state MSE. The proposed algorithm shows a better ERLE performance than that of KVSS-LMS, VSS-NLMS, NLMS algorithms.

Keywords

References

  1. B. Widrow and S. D. Steams, "Adaptive Signal Processing," Englewood Cliffs, NJ: Prentice-Hall, 1985.
  2. S. Haykin. "Adaptive Filter Theory," 4-th ed., Upper Saddle River, NJ: Prentice-Hall, 2002.
  3. Casco. F, Medina-Ramirez. R.C, Lopez-Guerrero. M, and Jalpa-Vilanueva. C, "VS-SC: A Variable Step Size NLMS Algorithm," CCECE, vol.22-26, pp. 896-899, 2007.
  4. R.H. Kwong and E.W. Johnston, "A Variable Step Size LMS Algorithm," IEEE Transactions on Signal Processing, vol.40, no.7, pp. 1633-1642, July 1992. https://doi.org/10.1109/78.143435
  5. D. I. Pazaitis and A.G Constantinides, "A novel Kurtosis driven variable step size adaptive algorithm," IEEE Transactions on Signal Processing, vol.47, pp. 864-872, 1999. https://doi.org/10.1109/78.747793
  6. C. Paleologu, S. Ciochina, and J. Benesty "Variable Step-Size NLMS Algorithm for Under Modeling Acoustic Echo Cancellation," IEEE Signal Processing Letters. vol.15, pp.5-8, 2008. https://doi.org/10.1109/LSP.2007.910276
  7. A. I. Sulyman and A. Zerguine, "Convergence and Steady-State Analysis of a Variable Step-Size Normalized LMS Algorithm," IEEE Transactions on Signal Processing., vol.49, pp.1016-1019, 2001.
  8. Guo. Yecai and Zhao Junwei, "Combined Kurtosis Driven Variable Step Size Adaptive Line Enhancer," IEEE ICARCV, vol.3, pp. 1901-1906, 2004.
  9. S.C. Chan and Y. Zhou, "On the Convergence Analysis of the Normalized LMS and the Normalized Least Mean M-Estimate Algorithms," IEEE International Symposium, vol.15-18, pp.1048-1053, 2007.
  10. Jacob Benesty, Heman Rey, Leonardo Rey Vega, and Sara Tressens, "A Nonparametric VSS-NLMS Algorithm," IEEE Signal Processing Letters, vol.13, no.10, October 2006.
  11. B. E. Jun and D. J. Park, "Novel steepest descent adaptive filter derived from new performance function with additional exponential term," Signal Process., vol.36, pp.189-199, 1994. https://doi.org/10.1016/0165-1684(94)90207-0
  12. S. Kami and G. Zeng, "A new convergence factor for adaptive filters," IEEE Trans. Circuits Syst., vol.36, pp.1011-1012, July 1989. https://doi.org/10.1109/31.31337
  13. V. J. Mathews and Z. Xie, "A stochastic gradient adaptive filter with gradient adaptive step size," IEEE Transactions on Signal Processing, vol.41, pp.2075-2087, June 1993. https://doi.org/10.1109/78.218137