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Recursive Bayesian beamforming with uncertain projected steering vector and strong interferences

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Abstract

A recursive Bayesian beamforming is proposed for the steering vector uncertainty and strong interferences. Signal and noise powers are unknown, and beamforming weight is modeled as a complex Gaussian vector that characterizes the level of projected steering vector uncertainty. By applying the Bayesian model, a recursive algorithm is developed to estimate beamforming weight. Numerical simulations of linear and planar arrays demonstrate the effectiveness and robustness of the proposed beamforming algorithm. After convergence, the proposed algorithm exhibits a performance similar to that of the optimal \(\mathrm {MaxSINR}\) beamformer.

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References

  1. Van Veen, B.D., Buckley, K.M.: Beamforming: a versatile approach to spatial filtering. IEEE ASSP Mag. 5(2), 4–24 (1988)

    Article  Google Scholar 

  2. Van Trees, H.L.: Optimum Array Processing: Part IV of Detection, Estimation, and Modulation Theory. Wiley, New York (2002)

    Book  Google Scholar 

  3. Vorobyov, S.A.: Principles of minimum variance robust adaptive beamforming design. Signal Process. 93(12), 3264–3277 (2013)

    Article  Google Scholar 

  4. Du, L., Li, J., Stoica, P.: Fully automatic computation of diagonal loading levels for robust adaptive beamforming. IEEE Trans. Aerosp. Electron. Syst. 46(1), 449–458 (2010)

    Article  Google Scholar 

  5. Vorobyov, S.A., Gershman, A.B., Luo, Z.Q.: Robust adaptive beamforming using worst-case performance optimization: a solution to the signal mismatch problem. IEEE Trans. Signal Process. 51(2), 313–324 (2003)

    Article  Google Scholar 

  6. Choi, Y.H.: Robust adaptive beamforming method using principal eigenpairs with modification of PASTd. Digit. Signal Process. 23(2), 595–600 (2013)

    Article  MathSciNet  Google Scholar 

  7. Liao, B., Chan, S.C., Tsui, K.M.: Recursive steering vector estimation and adaptive beamforming under uncertainties. IEEE Trans. Aerosp. Electron. Syst. 49(1), 489–501 (2013)

    Article  Google Scholar 

  8. Jeffs, B.D., Warnick, K.F.: Spectral bias in adaptive beamforming with narrowband interference. IEEE Trans. Signal Process. 57(4), 1373–1382 (2009)

    Article  MathSciNet  Google Scholar 

  9. Bucris, Y., Cohen, I., Doron, M.A.: Bayesian focusing for coherent wideband beamforming. IEEE Trans. Audio Speech Lang. Process. 20(4), 1282–1296 (2012)

    Article  Google Scholar 

  10. Besson, O., Monakov, A.A., Chalus, C.: Signal waveform estimation in the presence of uncertainties about the steering vector. IEEE Trans. Signal Process. 52(9), 2432–2440 (2004)

    Article  MathSciNet  Google Scholar 

  11. Bell, K.L., Ephraim, Y., Van Trees, H.L.: A Bayesian approach to robust adaptive beamforming. IEEE Trans. Signal Process. 48(2), 386–398 (2000)

    Article  Google Scholar 

  12. Lam, C.J., Singer, A.C.: Bayesian beamforming for DOA uncertainty: theory and implementation. IEEE Trans. Signal Process. 54(11), 4435–4445 (2006)

    Article  Google Scholar 

  13. Besson, O., Bidon, S.: Robust adaptive beamforming using a Bayesian steering vector error model. Signal Process. 93(12), 3290–3299 (2013)

    Article  Google Scholar 

  14. Han, Y., Zhang, D.: A recursive Bayesian beamforming for steering vector uncertainties. EURASIP J. Adv. Signal Process. 2013, 108 (2013)

    Article  Google Scholar 

  15. Wax, M., Kailath, T.: Detection of signals by information theoretic criteria. IEEE Trans. Acoust. Speech Signal Process. 33(2), 387–392 (1985)

  16. Tseng, C.Y., Griffiths, L.J.: A unified approach to the design of linear constraints in minimum variance adaptive beamformers. IEEE Trans. Antennas Propag. 40(12), 1533–1542 (1992)

    Article  Google Scholar 

Download references

Acknowledgments

This work is supported in part by the National Natural Science Foundation of China (Grant No. 11273017).

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Correspondence to Yubing Han.

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Han, Y., Tran, V. Recursive Bayesian beamforming with uncertain projected steering vector and strong interferences. SIViP 10, 975–982 (2016). https://doi.org/10.1007/s11760-015-0848-3

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  • DOI: https://doi.org/10.1007/s11760-015-0848-3

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