Abstract
In Chapter 2, we showed that the patterns of differential arrays can be obtained from the general definition of the beam pattern by approximating the exponential function with its MacLaurin’s series expansion. In other words, a directional pattern of order N can be obtained from the MacLaurin’s series of order N, as long as this approximation holds. In this chapter, we show how to design differential arrays based on this approach and their relationship to adaptive beam forming. This investigation is far from complete and more can be done; our aim here is just to show the potential of this new concept.
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References
G. W. Elko, “Super directional 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
J. Benesty, J. Chen, and Y. Huang, Microphone Array Signal Processing. Berlin, Germany: Springer-Verlag, 2008
O. Frost, “An algorithm for linearly constrained adaptive array processing,” Proc. IEEE, vol. 60, pp. 926–935, Jan. 1972
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© 2013 Springer-Verlag Berlin Heidelberg
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Benesty, J., Chen, J. (2013). Study and Design of Differential Arrays with the MacLaurin’s Series Approximation. In: Study and Design of Differential Microphone Arrays. Springer Topics in Signal Processing, vol 6. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33753-6_7
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DOI: https://doi.org/10.1007/978-3-642-33753-6_7
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Online ISBN: 978-3-642-33753-6
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