volume | PIER Journals

Abstract

A low complexity wavelet packet transform-based least mean square (LMS) adaptive beamformer is presented in this paper. This beamformer uses wavelet packet transform as the preprocessing, reduces the signal dimension in wavelet packet domain for low complexity and denoising, and employs least mean square algorithm to implement adaptive beamformer. Theoretical analysis and simulations demonstrate that this algorithm with better beamforming performance converges faster than the conventional adaptive beamformer and the wavelet transform-based beamformer. Finally, our proposed algorithm has the low complexity, and it can be easy to implement.

1. Qu, Y., G. Liao, S.-Q. Zhu, and X.-Y. Liu, "Pattern synthesis of planar antenna array via convex optimization for airborne forward looking radar," Progress In Electromagnetics Research, Vol. 84, 1-10, 2008.
doi:10.2528/PIER08060301 Google Scholar

2. Yang, Y., Y. Wang, and A. E. Fathy, "Design of compact vivaldi antenna arrays for UWB see through wall applications," Progress In Electromagnetics Research, Vol. 82, 401-418, 2008.
doi:10.2528/PIER08040601 Google Scholar

3. Guney, K. and M. Onay, "Amplitude-only pattern nulling of linear antenna arrays with the use of bees algorithm," Progress In Electromagnetics Research, Vol. 70, 21-36, 2007.
doi:10.2528/PIER07011204 Google Scholar

4. Liang, L., B. Li, S.-H. Liu, and C.-H. Liang, "A study of using the double negative structure to enhance the gain of rectangular waveguide antenna arrays," Progress In Electromagnetics Research, Vol. 65, 275-286, 2006.
doi:10.2528/PIER06103102 Google Scholar

5. Abouda, A., H. M. El-Sallabi, and S. G. Haggman, "Effect of antenna array geometry and ULA azimuthal orientation on MIMO channel properties in urban city street grid," Progress In Electromagnetics Research, Vol. 64, 257-278, 2006.
doi:10.2528/PIER06050801 Google Scholar

6. Mouhamadou, M., P. Vaudon, and M. Rammal, "Smart antenna array patterns synthesis: Null steering and multi-user beamforming by phase control," Progress In Electromagnetics Research, Vol. 60, 95-106, 2006.
doi:10.2528/PIER05112801 Google Scholar

7. Dessouky, M. I., H. A. Sharshar, and Y. A. Albagory, "A novel tapered beamforming window for uniform concentric circular arrays," Journal of Electromagnetic Waves and Applications, Vol. 20, No. 14, 2077-2089, 2006.
doi:10.1163/156939306779322701 Google Scholar

8. Guo, B., Y. Wang, J. Li, et al. "Microwave imaging via adaptive beamforming methods for breast cancer detection," Journal of Electromagnetic Waves and Applications, Vol. 20, No. 1, 53-63, 2006.
doi:10.1163/156939306775777350 Google Scholar

9. Jeong, Y.-S. and J.-H. Lee, "Estimation of time delay using conventional beamforming-based algorithm for UWB systems," Journal of Electromagnetic Waves and Applications, Vol. 21, No. 15, 2413-2420, 2007.
doi:10.1163/156939307783134281 Google Scholar

10. Dessouky, M. I., H. A. Sharshar, and Y. A. Albagory, "Improving the cellular coverage from a high altitude platform by novel tapered beamforming technique," Journal of Electromagnetic Waves and Applications, Vol. 21, No. 13, 1721-1731, 2007. Google Scholar

11. Babayigit, B., A. Akdagli, and K. Guney, "A clonal selection algorithm for null synthesizing of linear antenna arrays by amplitude control," Journal of Electromagnetic Waves and Applications, Vol. 20, No. 8, 1007-1020, 2006.
doi:10.1163/156939306776930222 Google Scholar

12. Naghshvarian-Jahromi, M., "Novel Ku band fan beam reflector back array antenna," PIER Letters, Vol. 3, 95-103, 2008. Google Scholar

13. Van Veen, B. D. and K. M. Buckley, "Beamforming: A versatile approachto spatial filtering," IEEE ASSP Magazine, Vol. 5, No. 2, 4-24, 1988.
doi:10.1109/53.665 Google Scholar

14. Lee, J. C., "Performance of transform domain LMS adaptive digital filters," IEEE Trans. on ASSP, Vol. 34, No. 2, 499-510, 1986. Google Scholar

15. Wang, J. F. and G. X. Song, "Wavelet transformed adaptive equalization algorithm," Journal of Xidian University, Vol. 27, No. 1, 21-24, 2000. Google Scholar

16. Zhang, X. F. and D. Z. Xu, "Frequency domain LMS based adaptive beamforming algorithm," Chinese Space Science and Technology, Vol. 2, 41-46, 2005. Google Scholar

17. Zhang, X. F. and D. Z. Xu, "A novel frequency domain adaptive beamforming algorithm," Acta Armamentarii, Vol. 27, No. 3, 428-431, 2006. Google Scholar

18. Hosour, S. and A. H. Tewfik, "Wavelet transform domain adaptive filtering," IEEE Trans. Signal Processing, Vol. 45, No. 3, 617-630, 1997.
doi:10.1109/78.558477 Google Scholar

19. Zhang, X. F., D. Z. Xu, and Z. F. Qi, "A study of singular signal detection based on wavelet transform," System Engineering and Electronic, Vol. 25, No. 7, 814-816, 2003. Google Scholar

20. Zhang, X. F., D. Z. Xu, and Z. F. Qi, "Algorithm of denoising based on mode max wavelet field," Journal of Data Acquisition and Processing, Vol. 18, No. 3, 315-318, 2003. Google Scholar

21. Tewfik, A. H. and M. Kim, "Fast positive definite linear system solvers," IEEE Trans. Signal Processing, Vol. 42, No. 3, 572-585, 1994.
doi:10.1109/78.277849 Google Scholar

22. Zhang, X. F. and D. Z. Xu, "Improved adaptive beamforming algorithm based on wavelet transform," 2006 International Conference on Communications, Circuits and Systems Proceedings, Vol. 1, 303-306, 2006.
doi:10.1109/ICCCAS.2006.284640 Google Scholar

23. Zhang, X. F. and D. Z. Xu, "Wavelet domain adaptive beamforming algorithm," Astronautica Sinica, Vol. 26, No. 1, 98-102, 2005. Google Scholar

24. Chu, Y., "Two-dimensional wavelet-based generalized sidelobe canceller withsubband selection scheme," IEEE Trans. Antennas Propagat., Vol. 52, 3401-3405, 2004.
doi:10.1109/TAP.2004.836404 Google Scholar

25. Chu, Y., "Performance analysis of the wavelet-based generalized sidelobe canceller in the presence of random steering errors," IEICE Trans. Communications, Vol. E87-B, 2783-2790, 2004. Google Scholar

26. Chu, Y. and W.-H. Fang, "Performance analysis of a wavelet-based generalized sidelobe canceller," IEEE Trans. Antennas Propagat., Vol. 51, 519-534, Mar. 2003.
doi:10.1109/TAP.2003.809849 Google Scholar

27. Zhao, X. Z., T. J. Chen, B. Y. Ye, et al. "Denoising algorithm based on convolution type of wavelet packet transformation," Journal of Data Acquisition & Processing, Vol. 18, No. 3, 292-295, 2003. Google Scholar

28. Xu, W. and W. K. Stewart, "Multiresolution-signal direction of arrival estimation: A wavelets approach," IEEE Trans. on Signal Processing Letters, Vol. 7, No. 3, 66-68, 2000.
doi:10.1109/97.823528 Google Scholar

29. Huang, K. and R. Lv, "Adaptive equalization algorithm based on wavelet packet transform," ACTA Electronics Sinica, Vol. 31, No. 8, 1205-1208, 2003. Google Scholar

Prof. Xiaofei Zhang

Dr. Ziqing Wang

Professor Dazhuan Xu