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Beamforming with Uniform Linear Arrays

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Array Processing

Part of the book series: Springer Topics in Signal Processing ((STSP,volume 18))

Abstract

Any good microphone array system requires a reliable beamforming algorithm at the outputs of the sensors to enhance a desired signal coming from a known direction. There are many ways to optimize the coefficients of this beamformer depending on what we want and the application at hand. Fundamentally, there are three large classes of conventional beamformers; they are the fixed, adaptive, and differential beamformers. In this chapter, we show how to derive most of their counterparts as well as new approaches with Kronecker product filters.

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References

  • 1. H. L. Van Trees, Optimum Array Processing: Part IV of Detection, Estimation, and Modulation Theory. New York, NY: John Wiley & Sons, Inc., 2002.

    Google Scholar 

  • 2. J. Benesty, I. Cohen, and J. Chen, Fundamentals of Signal Enhancement and Array Signal Processing. Singapore: Wiley–IEEE Press, 2018.

    Google Scholar 

  • 3. S. Haykin, Adaptive Filter Theory. Fourth Edition, Upper Saddle River, NJ: Prentice-Hall, 2002.

    Google Scholar 

  • 4. J. Benesty, C. Paleologu, and S. Ciochina, “On the identification of bilinear forms with the Wiener filter,” IEEE Signal Process. Lett., vol. 24, pp. 653–657, May 2017.

    Article  Google Scholar 

  • 5. J. Capon, “High resolution frequency-wavenumber spectrum analysis,” Proc. IEEE, vol. 57, pp. 1408–1418, Aug. 1969.

    Google Scholar 

  • 6. R. T. Lacoss, “Data adaptive spectral analysis methods,” Geophysics, vol. 36, pp. 661–675, Aug. 1971.

    Google Scholar 

  • 7. A. Booker and C. Y. Ong, “Multiple constraint adaptive filtering,” Geophysics, vol. 36, pp. 498–509, June 1971.

    Article  Google Scholar 

  • 8. O. Frost, “An algorithm for linearly constrained adaptive array processing,” Proc. IEEE, vol. 60, pp. 926–935, Jan. 1972.

    Google Scholar 

  • 9. G. W. Elko and J. Meyer, “Microphone arrays,” in Springer Handbook of Speech Processing, J. Benesty, M. M. Sondhi, and Y. Huang, Eds., Berlin, Germany: Springer-Verlag, 2008, Chapter 50, pp. 1021–1041.

    Google Scholar 

  • 10. G. W. Elko, “Superdirectional microphone arrays,” in Acoustic Signal Processing for Telecommunication, S. L. Gay and J. Benesty, Eds. Boston, MA: Kluwer Academic Publishers, 2000, Chapter 10, pp. 181–237.

    Chapter  Google Scholar 

  • 11. J. Benesty and J. Chen, Study and Design of Differential Microphone Arrays. Berlin, Germany: Springer-Verlag, 2012.

    Google Scholar 

  • 12. J. Chen, J. Benesty, and C. Pan “On the design and implementation of linear differential microphone arrays,” J. Acoust. Soc. Am., vol. 136, pp. 3097–3113, Dec. 2014.

    Google Scholar 

  • 13. R. N. Marshall and W. R. Harry, “A new microphone providing uniform directivity over an extended frequency range,” J. Acoust. Soc. Am., vol. 12, pp. 481–497, 1941.

    Article  Google Scholar 

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Correspondence to Jacob Benesty .

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Benesty, J., Cohen, I., Chen, J. (2019). Beamforming with Uniform Linear Arrays. In: Array Processing. Springer Topics in Signal Processing, vol 18. Springer, Cham. https://doi.org/10.1007/978-3-030-15600-8_3

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  • DOI: https://doi.org/10.1007/978-3-030-15600-8_3

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-15599-5

  • Online ISBN: 978-3-030-15600-8

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