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Minimum-Norm Solution for Robust Circular Differential Arrays

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Design of Circular Differential Microphone Arrays

Part of the book series: Springer Topics in Signal Processing ((STSP,volume 12))

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Abstract

In this chapter, we show how the classical adaptive beamforming technique is related to differential circular arrays. From this important and useful relationship, we then derive a minimum-norm filter for the design of any order differential array, which can be robust against white noise amplification. This approach exploits the fact that the number of microphones can be much larger than the order of the CDMA. As a result, the more microphones, the more robust is the CDMA for a predetermined order.

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References

  1. J. Benesty, J. Chen, and Y. Huang, Microphone Array Signal Processing. Berlin, Germany:Springer-Verlag, 2008.

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  2. 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.

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

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

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

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  6. H. Cox, R. M. Zeskind, and M. M. Owen, “Robust adaptive beamforming,” IEEE Trans. Acoust., Speech, Signal Process., vol. ASSP-35, pp. 1365–1376, Oct. 1987.

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  7. J. Benesty and J. Chen, Optimal Noise Reduction Filters–A Theoretical Study. Springer Briefs in Electrical & Computer Engineering, 2011.

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  8. J. Benesty, J. Chen, and E. Habets, Speech Enhancement in the STFT Domain. Springer Briefs in Electrical & Computer Engineering, 2011.

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Correspondence to Jacob Benesty .

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Benesty, J., Chen, J., Cohen, I. (2015). Minimum-Norm Solution for Robust Circular Differential Arrays. In: Design of Circular Differential Microphone Arrays. Springer Topics in Signal Processing, vol 12. Springer, Cham. https://doi.org/10.1007/978-3-319-14842-7_7

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  • DOI: https://doi.org/10.1007/978-3-319-14842-7_7

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-14841-0

  • Online ISBN: 978-3-319-14842-7

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