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.
2. J. Benesty, I. Cohen, and J. Chen, Fundamentals of Signal Enhancement and Array Signal Processing. Singapore: Wiley–IEEE Press, 2018.
3. S. Haykin, Adaptive Filter Theory. Fourth Edition, Upper Saddle River, NJ: Prentice-Hall, 2002.
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.
5. J. Capon, “High resolution frequency-wavenumber spectrum analysis,” Proc. IEEE, vol. 57, pp. 1408–1418, Aug. 1969.
6. R. T. Lacoss, “Data adaptive spectral analysis methods,” Geophysics, vol. 36, pp. 661–675, Aug. 1971.
7. A. Booker and C. Y. Ong, “Multiple constraint adaptive filtering,” Geophysics, vol. 36, pp. 498–509, June 1971.
8. O. Frost, “An algorithm for linearly constrained adaptive array processing,” Proc. IEEE, vol. 60, pp. 926–935, Jan. 1972.
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.
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.
11. J. Benesty and J. Chen, Study and Design of Differential Microphone Arrays. Berlin, Germany: Springer-Verlag, 2012.
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.
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.
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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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