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Finite data performance analysis of a sidelobe canceller

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Abstract

The performance of the generalized sidelobe canceller (GSC) is affected by the desired signal (DS) even if all signals are uncorrelated with each other when the DS exists in the received array data with finite snapshot number. Under the condition that the DS is blocked totally in the auxiliary array, a novel expression of the weight vector of the GSC, where the auxiliary array is separated from the main array, is derived for the finite data. Based on the new weight vector, the corresponding expressions of the output signal-to-interference-plus-noise ratio (SINR) can be developed for the case that all signals, including the DS and interference signals, are independent with each other. Then, effects on the SINR for some parameters, including the signal-to-noise ratio, the array antenna number, the direction-of-arrival of the interference signal and the interference-to-noise ratio, are studied, respectively. Some guidelines can thus be obtained for the practical application.

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References

  • Borowicz, A. (2014). A robust generalized sidelobe canceller employing speech leakage masking. Advances in Computer Science Research, 11, 17–29.

    Google Scholar 

  • Carlson, B. D. (1988). Covariance-matrix estimation errors and diagonal loading in adaptive arrays. IEEE Transactions on Aerospace and Electronic Systems, 24(4), 397–401.

    Article  Google Scholar 

  • Chen, Y. L., & Lee, J. H. (2012). Finite data performance analysis of LCMV antenna array beamformer with and without signal blocking. Progress in Electromagnetics Research, 130(1), 281–317.

    Article  Google Scholar 

  • Chu, Y., & Fang, W.-H. (2003). Performance analysis of a wavelet-based generalized sidelobe canceller. IEEE Transactions on Antennas and Propagation, 51(3), 519–534.

    Article  Google Scholar 

  • Fang, W. H., & Chu, Y. (1998). A novel wavelet-based generalized sidelobe canceller. IEEE Transactions on Antennas and Propagation, 47(9), 1485–1494.

    MathSciNet  MATH  Google Scholar 

  • Feldman, D. D., & Griffiths, L. J. (1994). A projection approach for robust adaptive beamforming. IEEE Transactions on Signal Processing, 42(4), 867–876.

    Article  Google Scholar 

  • Frost, O. L. (1972). An algorithm for linearly constrained adaptive array processing. Proceedings of the IEEE, 60(8), 926–935.

    Article  Google Scholar 

  • Griffiths, L. J., & Jim, C. W. (1982). Alternative approach to linear constrained adaptive beamforming. IEEE Transactions on Antennas and Propagation, AP, 30, 27–34.

    Article  Google Scholar 

  • Gupta, I. J. (1989). Effects of desired signal on the performance of a sidelobe canceller. IEEE Transactions on Antennas and Propagation, 37(9), 1109–1115.

    Article  Google Scholar 

  • Krichene, H. A., Ho, M. T., Talisa, S. H., Ricciardi, G. F., & Lauritzen, K. C. (2014). Effects of channel mismatch and phase noise on jamming cancellation. In Radar Conference 2014 IEEE (pp. 38–43).

  • Lee, Y., & Wu, W. R. (2005). A robust adaptive generalized sidelobe canceller with decision feedback. IEEE Transactions on Antennas and Propagation, 53(11), 3822–3832.

    Article  Google Scholar 

  • Levanda, R., & Leshem, A. (2013). Adaptive selective sidelobe canceller beamformer with applications to interference mitigation in radio astronomy. IEEE Transactions on Signal Processing, 61(20), 5063–5074.

    Article  MathSciNet  Google Scholar 

  • Liu, Z., Shouhao, W., & Wang, Y. (2014). A new GSC beamforming algorithm based on double affine projection. In IEEE international symposium on broadband multimedia systems and broadcasting (BMSB) (pp. 1–4). Beijing.

  • Mohammed, J. R., & Sayidmarie, K. H. (2014). Sidelobe cancellation for uniformly excited planar array antennas by controlling the side elements. IEEE Antennas and Wireless Propagation Letters, 13, 987–990.

    Article  Google Scholar 

  • Neil, K. J. (1986). Adaptive sidelobe beamforming with the generalized canceller in the presence of array imperfections. IEEE Transactions on Antennas and Propagation, 34(8), 996–1012.

    Article  Google Scholar 

  • Pan, C., Chen, J. D., & Benesty, J. (2014). Performance study of the MVDR beamformer as a function of the source incidence angle. IEEE/ACM Transactions on Audio, Speech, and Language Processing, 22(1), 67–79.

    Article  Google Scholar 

  • Raghunath, K. J., & Reddy, V. (1992). Finite data performance analysis of MVDR beamformer with and without spatial smoothing. IEEE Transactions on Signal Processing, 40(11), 2726–2736.

    Article  Google Scholar 

  • Rao, N., Zhou, B., Jiang, H., Liu, C., & Yang, L. (2012). Analysis of effects of system mismatches on the performance of adaptive generalized sidelobe canceller and compensation methods. Journal of Electronic Science and Technology, 10(1), 61–66.

    Google Scholar 

  • Reed, I. S. (1966). On a moment theorem for complex Gaussian processes. IRE Transactions on Information Theory, 8, 194–195.

    Article  MathSciNet  MATH  Google Scholar 

  • Reed, I. S., Mallett, J. D., & Brennan, L. E. (1974). Rapid convergence rate in adaptive arrays. IEEE Transactions on Aerospace and Electronic Systems, 10(6), 853–863.

    Article  Google Scholar 

  • Sedivy, P. (2013). Radar sidelobe canceller performance evaluation. In Conference on microwave techniques COMITE, 2013 (pp. 186–189).

  • Takao, K., & Boon, C. S. (1992). Importance of the exclusion of the desired signal from the control of a generalised sidelobe canceller. Radar & Signal Processing Lee Proceedings F, 139(4), 265–272.

    Article  Google Scholar 

  • Vendik, O. G., & Kozlov, D. S. (2012). Phased antenna array with a sidelobe cancellation for suppression of jamming. IEEE Antennas and Wireless Propagation Letters, 11, 648–650.

    Article  Google Scholar 

  • Ward, J., & Comron, R. T, Jr. (1990). Sidelobe level performance of adaptive sidelobe canceller arrays with element reuse. IEEE Transactions on Antennas and Propagation, 38(10), 1684–1693.

    Article  Google Scholar 

  • Wax, M., & Anu, Y. (1996). Performance analysis of the minimum variance beamformer. IEEE Transactions on Signal Processing, 44(4), 928–937.

    Article  Google Scholar 

  • Wax, M., & Anu, Y. (1996). Performance analysis of the minimum variance beamformer in the presence of steering vector errors. IEEE Transactions on Signal Processing, 44(4), 938–947.

    Article  Google Scholar 

  • Widrow, B., Duvall, K. M., & Gooch, R. P. (1982). Signal cancellation phenomena in adaptive antennas: Causes and cures. IEEE Transactions on Antennas and Propagation, AP, 30, 469–478.

    Article  Google Scholar 

  • Yang, J., Liao, G., Li, J., Lei, Y., & Wang, X. (2015). Robust beamforming with imprecise array geometry using steering vector estimation and interference covariance matrix reconstruction. Multidimensional Systems and Signal Processing. doi:10.1007/s11045-015-0350-7.

  • Zhang, L., Liu, W., & Yu, L. (2011). Performance analysis for finite sample MVDR beamformer with forward backward processing. IEEE Transactions on Signal Processing, 59(5), 2427–2431.

    Article  MathSciNet  Google Scholar 

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Acknowledgments

This work is supported by the National Natural Science Foundation of China (Nos. 61301262, 61371184) and the Fundamental Research Funds for the Central Universities (No. ZYGX2014J021).

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Correspondence to Julan Xie.

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Xie, J., Li, H., He, Z. et al. Finite data performance analysis of a sidelobe canceller. Multidim Syst Sign Process 28, 1737–1756 (2017). https://doi.org/10.1007/s11045-016-0445-9

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  • DOI: https://doi.org/10.1007/s11045-016-0445-9

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