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Optimal Design of Subband Beamformers

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Broadband Array Processing

Part of the book series: Springer Topics in Signal Processing ((STSP,volume 17))

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Abstract

In Chap. 2, the frequency-domain implementation of broadband beamformer is presented, in which the broadband signals from each sensor are decomposed into a lot of subbands using the DFT. For each subband, the narrowband condition is satisfied and the narrowband beamformers can be applied directly.

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References

  1. H. Cox, R.M. Zeskind, M.M. Owen, Robust adaptive beamforming. IEEE Trans. Audio Speech Signal Process. 35(10), 1365–1376 (1987)

    Article  Google Scholar 

  2. B.D. Carlson, Covariance-matrix estimation errors and diagonal loading in adaptive arrays. IEEE Trans. Aerosp. Electron. Syst. 24(4), 397–401 (1988)

    Article  Google Scholar 

  3. D.D. Feldman, L.J. Griffiths, A projection approach for robust adaptive beamforming. IEEE Trans. Signal Process. 42(4), 867–876 (1994)

    Article  Google Scholar 

  4. S.A. Vorobyov, A.B. Gershman, Z.Q. Luo, 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 

  5. J. Li, P. Stoica, Z.S. Wang, On robust Capon beamforming and diagonal loading. IEEE Trans. Signal Process. 51(7), 1702–1715 (2003)

    Article  Google Scholar 

  6. R.G. Lorenz, S.R. Boyd, Robust minimum variance beamforming. IEEE Trans. Signal Process. 53(5), 1684–1696 (2005)

    Article  MathSciNet  Google Scholar 

  7. J. Li, P. Stoica, Robust Adaptive Beamforming (Wiley, New Jersey, 2006)

    Google Scholar 

  8. C.A. Olen, R.T. Compton, A numerical pattern synthesis algorithm for arrays. IEEE Trans. Antennas Propag. 38(10), 1666–1676 (1990)

    Article  Google Scholar 

  9. J. Liu, A.B. Gershman, Z.Q. Luo, K.M. Wong, Adaptive beamforming with sidelobe control: a second-order cone programming approach. IEEE Signal Process. Lett. 10(11), 331–334 (2003)

    Article  Google Scholar 

  10. C.Y. Tseng, L.J. Griffiths, A simple algorithm to achieve desired patterns for arbitrary arrays. IEEE Trans. Signal Process. 40(11), 2737–2746 (1992)

    Article  Google Scholar 

  11. B.P. Ng, M.H. Er, C. Kot, A flexible array synthesis method using quadratic-programming. IEEE Trans. Antennas Propag. 41(11), 1541–1550 (1993)

    Article  Google Scholar 

  12. S. Yan, Y. Ma, Frequency invariant beamforming via optimal array pattern synthesis and FIR filters design. Chin. J. Acoust. 24(3), 202–211 (2005)

    Google Scholar 

  13. I.S. Reed, J.D. Mallett, L.E. Brennan, Rapid convergence rate in adaptive arrays. IEEE Trans. Aerosp. Electron. Syst. 10(6), 853–863 (1974)

    Article  Google Scholar 

  14. E.J. Kelly, Performance of an adaptive detection algorithm—rejection of unwanted signals. IEEE Trans. Aerosp. Electron. Syst. 25(2), 122–133 (1989)

    Article  Google Scholar 

  15. S. Yan, Y. Ma, Robust supergain beamforming for circular array via second-order cone programming. Appl. Acoust. 66(9), 1018–1032 (2005)

    Article  Google Scholar 

  16. J.F. Sturm, Using SeDuMi 1.02, a MATLAB toolbox for optimization over symmetric cones. Optim. Methods Soft. 11–12(1–4), 625–653 (1999)

    Article  MathSciNet  Google Scholar 

  17. J.E. Hudson, Adaptive Array Principles (Peter Peregrinus, London, 1981)

    Book  Google Scholar 

  18. Z. Tian, K.L. Bell, H.L. Van Trees, A recursive least squares implementation for LCMP beamforming under quadratic constraint. IEEE Trans. Signal Process. 49(6), 1138–1145 (2001)

    Article  Google Scholar 

  19. J. Li, P. Stoica, Z.S. Wang, Doubly constrained robust Capon beamformer. IEEE Trans. Signal Process. 52(9), 2407–2423 (2004)

    Article  Google Scholar 

  20. P. Stoica, Z.S. Wang, J. Li, Robust Capon beamforming. IEEE Signal Process. Lett. 10(6), 172–175 (2003)

    Article  Google Scholar 

  21. C.L. Dolph, A current distribution for broadside arrays which optimizes the relationship between beam width and side-lobe level. Proc. IRE 34(6), 335–348 (1946)

    Article  Google Scholar 

  22. S. Yan, Y. Ma, C. Sun, Optimal beamforming for arbitrary arrays using second-order cone programming. Chin. J. Acoust. 24(1), 1–9 (2005)

    Google Scholar 

  23. S. Yan, J.M. Hovem, Array pattern synthesis with robustness against manifold vectors uncertainty. IEEE J. Ocean. Eng. 33(4), 405–413 (2008)

    Article  Google Scholar 

  24. A. Mutapcic, S.J. Kim, S. Boyd, Beamforming with uncertain weights. IEEE Signal Process. Lett. 14(5), 348–351 (2007)

    Article  Google Scholar 

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Authors and Affiliations

  1. Institute of Acoustics, Chinese Academy of Sciences, Beijing, China

    Dr. Shefeng Yan

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  1. Dr. Shefeng Yan
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Correspondence to Shefeng Yan .

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Yan, S. (2019). Optimal Design of Subband Beamformers. In: Broadband Array Processing. Springer Topics in Signal Processing, vol 17. Springer, Singapore. https://doi.org/10.1007/978-981-13-6802-8_3

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  • DOI: https://doi.org/10.1007/978-981-13-6802-8_3

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-13-6801-1

  • Online ISBN: 978-981-13-6802-8

  • eBook Packages: EngineeringEngineering (R0)

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