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Fundamentals of Speech Enhancement pp 65–81Cite as

On the Output SNR in Speech Enhancement and Beamforming

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Abstract

The output SNR is a well-known and accurate measure of the SNR after the filtering/beamforming operation; it is widely used to evaluate all kinds of optimal filters/beamformers for speech enhancement. However, it has never really been fully exploited for the derivation of other noise reduction filters than the classical maximum SNR filter. In this chapter, we first show how the output SNR is related to the fullmode input SNR and, then, derive very interesting filters/beamformers by alternating between two related filters in the maximization and minimization of the output SNR.

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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. B. D. Van Veen and K. M. Buckley, “Beamforming: a versatile approach to spatial filtering,” IEEE Acoust., Speech, Signal Process. Mag., vol. 5, pp. 4-24, Apr. 1988.

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  3. J. N. Franklin, Matrix Theory. Englewood Cliffs, NJ: Prentice-Hall, 1968.

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  4. J. Benesty, I. Cohen, and J. Chen, Fundamentals of Signal Enhancement and Array Signal Processing. Singapore: Wiley-IEEE, 2018.

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  5. H. Cox, R. M. Zeskind, and T. Kooij, “Practical supergain,” IEEE Trans. Acoust., Speech, Signal Process., vol. ASSP-34, pp. 393–398, June 1986.

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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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Authors and Affiliations

  1. INRS EMT, Suite 6900, University of Quebec, Montreal, QC, Canada

    Jacob Benesty

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  1. Jacob Benesty
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Correspondence to Jacob Benesty .

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Benesty, J. (2018). On the Output SNR in Speech Enhancement and Beamforming. In: Fundamentals of Speech Enhancement. SpringerBriefs in Electrical and Computer Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-74524-4_5

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  • DOI: https://doi.org/10.1007/978-3-319-74524-4_5

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-74523-7

  • Online ISBN: 978-3-319-74524-4

  • eBook Packages: EngineeringEngineering (R0)

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