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Performance Evaluation of Dft Beamformers for Broadband Antenna Array Processing

By Yen Lin Chen and Ju-Hong Lee
Progress In Electromagnetics Research, Vol. 139, 57-86, 2013


Broadband beamforming has been an important issue on antenna array processing due to many practical demands on communication, radar, or sonar applications. Although several effects deteriorating array performance have been addressed for narrowband beamforming, few of them are considered for the broadband scenario. Besides, the definition of output signal-to-interference plus noise ratio (SINR) and the way to simulate broadband signal sources are usually vague, which further obstructs the development of broadband beamforming. In this paper, the performance of discrete Fourier transform (DFT) beamformers operating in block processing and sliding window modes are investigated when the correlation matrices are known or estimated by finite data samples. The output SINR of DFT beamformers is well-defined, and the generation of broadband signals is clearly introduced. Simulation results with respect to the signal bandwidth, the number of frequency bins, and the number of data samples are presented for illustration and comparison.


Yen Lin Chen and Ju-Hong Lee, "Performance Evaluation of Dft Beamformers for Broadband Antenna Array Processing," Progress In Electromagnetics Research, Vol. 139, 57-86, 2013.


    1. Gu, Y. J., Z.-G. Shi, K. S. Chen, and Y. Li, "Robust adaptive beamforming for a class of Gaussian steering vector mismatch," Progress In Electromagnetics Research, Vol. 81, 315-328, 2008.

    2. Mestre, X. and M. A. Lagunas, "Finite sample size effect on minimum variance beamformers: optimum diagonal loading factor for large arrays," IEEE Trans. Signal Process., Vol. 54, No. 1, 69-82, Jan. 2006.

    3. Li, W.-X., Y.-P. Li, and W.-H. Yu, "On adaptive beamforming for coherent interference suppression via virtual antenna array," Progress In Electromagnetics Research, Vol. 125, 165-184, 2012.

    4. Lee, J.-H. and Y.-L. Chen, "Performance analysis of antenna array beamformers with mutual coupling effects," Progress In Electromagnetics Research B, Vol. 33, 291-315, 2011.

    5. Chang, L. and C.-C. Yeh, "Performance of DMI and eigenspace-based beamformers," IEEE Trans. Antennas Propag., Vol. 40, No. 11, 1336-1347, Nov. 1992.

    6. Carlson, B. D., "Covariance matrix estimation errors and diagonal loading in adaptive arrays," IEEE Trans. Aerosp. Electron. Syst., Vol. 24, No. 4, 397-401, Jul. 1988.

    7. Chen, Y.-L. and J.-H. Lee, "Finite data performance analysis of LCMV antenna array beamformers with and without signal blocking," Progress In Electromagnetics Research, Vol. 130, 281-317, 2012.

    8. Pillai, S. U., Array Signal Processing, Springer-Verlag, New York, 1989.

    9. Rennie, L. L., "The TAP III beamforming system," IEEE J. Ocean. Eng., Vol. 6, No. 1, 18-25, Jan. 1981.

    10. Guerci, J. R., J. S. Goldstein, and I. S. Reed, "Optimal and adaptive reduced-rank STAP," IEEE Trans. Aerosp. Electron. Syst., Vol. 36, No. 2, 647-663, Apr. 2000.

    11. Tuan, D.-H. and P. Russer, "Signal processing for wideband smart antenna array applications," IEEE Microw. Mag., Vol. 5, No. 1, 57-67, Mar. 2004.

    12. Spriet, A., M. Moonen, and J. Wouters, "Robustness analysis of multichannel Wiener filtering and generalized sidelobe cancellation for multimicrophone noise reduction in hearing aid applications," IEEE Trans. Speech Audio Process., Vol. 13, No. 4, 487-503, Jul. 2005.

    13. Compton, R. T., Adaptive Antennas, Prentice Hall, New Jersey, 1988.

    14. Monzingo, R. A. and T. W. Miller, Introduction to Adaptive Arrays, John Wiley & Sons, New York, 1980.

    15. Van Veen, B. D. and K. M. Buckley, "Beamforming: A versatile approach to spatial filtering," IEEE ASSP Magazine, Vol. 5, No. 2, 4-24, Apr. 1988.

    16. Liu, W., "Adaptive wideband beamforming with sensor delay-lines," Signal Processing, Vol. 89, 876-882, 2009.

    17. Lin, M., W. Liu, and R. J. Langley, "Performance analysis of an adaptive broadband beamformer based on a two-element linear array with sensor delay-line processing," Signal Processing, Vol. 90, 269-281, 2010.

    18. Frost, O. L., "An algorithm for linearly constrained adaptive array processing," Proc. IEEE, Vol. 60, No. 8, 926-935, Aug. 1972.

    19. Liu, W. and S. Weiss, Wideband Beamforming: Concepts and Techniques, Wiley, Chichester, UK, 2010.

    20. Wang, B. H., H. T. Hui, and M. S. Leong, "Optimal wideband beamforming for uniform linear arrays based on frequency-domain MISO system identification," IEEE Trans. Antennas Propag., Vol. 58, No. 8, 2580-2587, Aug. 2010.

    21. Zhao, Y., W. Liu, and R. J. Langley, "Adaptive wideband beamforming with frequency invariance constraints," IEEE Trans. Antennas Propag., Vol. 59, No. 4, 1175-1184, Apr. 2011.

    22. Hossain, M. S., G. N. Milford, M. C. Reed, and L. C. Godara, "Efficient robust broadband antenna array processor in the presence of look direction errors," IEEE Trans. Antennas Propag., Vol. 61, No. 2, 718-727, Feb. 2013.

    23. Godara, L. C., "Application of the fast Fourier transform to broadband beamforming," J. Acoust. Soc. Am., Vol. 98, No. 1, 230-240, Jul. 1995.

    24. Godara, L. C. and M. R. Sayyah Jahromi, "Limitations and capabilities of frequency domain broadband constrained beamforming schemes," IEEE Trans. Signal Process., Vol. 47, No. 9, 2386-2395, Sep. 1999.

    25. Godara, L. C. and M. R. Sayyah Jahromi, "Convolution constraints for broadband antenna arrays," IEEE Trans. Antennas Propag., Vol. 55, No. 11, 3146-3154, Nov. 2007.

    26. Kamiya, Y. and Y. Karasawa, "Performance comparison and improvement in adaptive arrays based on time- and frequency-domain signal processing," Electronics and Communications in Japan (Part III: Fundamental Electronic Science), Vol. 85, No. 9, 35-42, 2002.

    27. Zhang, Y., K. Yang, M. G. Amin, and Y. Karasawa, "Performance analysis of subband arrays," IEICE Trans. Commun., Vol. E84-B, No. 9, 2507-2515, Sep. 2001.

    28. Zhang, Y., K. Yang, and M. G. Amin, "Subband array implementations for space-time adaptive processing," EURASIP J. Appl. Signal Process., Vol. 2005, No. 1, 99-111, 2005.

    29. Compton, R. T., "The relationship between tapped delay-line and FFT processing in adaptive arrays," IEEE Trans. Antennas Propag., Vol. 36, No. 1, 15-26, Jan. 1988.

    30. Van Trees, H. L., Optimum Array Processing, John Wiley & Sons, New York, 2002.

    31. Haykin, S., Communication Systems, John Wiley & Sons, New Jersey, 2001.

    32. Scheuer, E. M. and D. S. Stoller, "On the generation of normal random vectors," Technometrics, Vol. 4, No. 2, 278-281, 1962.

    33. Grigoriu, M., "Simulation of stationary process via a sampling theorem," Journal of Sound and Vibration, Vol. 166, No. 2, 301-313, 1993.

    34. Miller, S. L. and S. L., Probability and Random Processes with Applications to Signal Processing and Communications, Elsevier, Boston, 2004.