350 rub
Journal Radioengineering №8 for 2012 г.
Article in number:
Adaptive algorithms with an increased convergence rate for adaptive antenna arrays
Keywords: LMS algorithm momentum LMS algorithm leaky LMS adaptive algorithm smoothed gradient error
Authors:
V.G. Markin
Abstract:
The comparative analysis of traditional adaptive algorithms based on the minimum mean square error (MSE) evaluation is conducted. Normalized algorithms minimizing MSE, particularly the leaky LMS algorithm, are considered. Widely known algorithms typically show slow convergence with different power of interference at the inputs of an adaptive antenna array. In order to increase the convergence rate an MSE gradient smoothing procedure is proposed. This procedure allows to minimize a steady-state mean square error.
Pages: 62-67
References
  1. Джиган В.И. Алгоритмы адаптивной фильтрации нестационарных сигналов. Автореферат диссертации на соискание учёной степени доктора технических наук. М.: 2006. 51 с.
  2. Уидроу Б. Стирнз С. Адаптивная обработка сигналов: пер. с англ. М.: Радио и связь. 1989. 440 с.
  3. Sandhi M.M. and Berkley D.A. Silencing echoes on the telephone network // Proc. IEEE Aug. 1980. V. 68. P. 948-963.
  4. Horowitz L.L. and Senne K.D. Performance advantage of coniplex LMS for controlling narrow-band adaptive arrays // IEEE Trans. Acousr. Speech. Signal Processing. 1981. V. ASSP-29. P. 722-736.
  5. Macchi О. and Eweda E. Second-order convergence analysis of stochastic adaptive linear filtering // IEEE Trans. Automat. Contr. 1983. V. AC-28. P. 76-85.
  6. Feuer A. and Weinstein E. Convergence analysis of LMS filters with uncorrelated Gaussian data // IEEE Trans. Acousr. Speech. Signal Processing. 1985. V. ASSP-33. P. 222-230.
  7. Shin H., Ali H. Sayed A., SongW. Variable step-size NLMS and affine projection algorithms // IEEE signal Processing Letters. 2004. V. 11. №2. P. 132-135.
  8. Oyerinde O.O., Mneney S.H. Single and multiple-variable step size normalised least mean square algorithms for echo cancellation. In: The 5th International Conference on Cybernetics and Information Technologies, Systems and Applications CISTA, Orlando, Florida, USA. Conference Proceedings. 2008.
  9. Zhang Y., Li N., Chambers J.A., Hao Y. New gradient-based variable step size LMS algorithms. Hindawi Publishing Corporation // EURASIP Journal on Advances in Signal Processing Volume. 2008.
  10. Kamenetsky M., Widrow B. A variable leaky LMS adaptive algorithm // IEEE. 2004. P. 125-128.
  11. Sayed A.Н., Al Naffouri T.Y. Mean-square analysis of normalized leaky adaptive filters. Acoustics, Speech, and Signal Processing, 2001. Proceedings. (ICASSP '01) // IEEE International Conference. 2001. V. 6. On Page(s). P. 3873-3876.
  12. Mandic D.P. A Generalized normalized gradient descent algorithm // IEEE Signal Processing Letters. 2004. V. 11. №2. P. 115-118.
  13. Mali D. Comparison of DC offset effects on LMS algorithm and its derivatives // International Journal of Recent Trends in Engineering. 2009. V. 1. №1. P. 323-328.