Abstract
While previous chapters were mostly about (fixed, adaptive, and differential) beamforming with some specific array geometries, the discussion in this chapter is on the spatiotemporal signal enhancement problem with any array geometry. By taking into account the interframe correlation, we show how the Kronecker product appears naturally in the definition of the signal vector. Thanks to this, we explain how to perform noise reduction (i.e., signal enhancement) with Kronecker product filters and derive the most well-known algorithms.
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References
1. J. Benesty, J. Chen, and Y. Huang, Microphone Array Signal Processing. Berlin, Germany: Springer-Verlag, 2008.
2. J. Benesty, I. Cohen, and J. Chen, Fundamentals of Signal Enhancement and Array Signal Processing. Singapore: Wiley–IEEE Press, 2018.
3. M. Brandstein and D. B. Ward, Eds., Microphone Arrays: Signal Processing Techniques and Applications. Berlin, Germany: Springer-Verlag, 2001.
4. J. Benesty, J. Chen, and E. Habets, Speech Enhancement in the STFT Domain. Springer Briefs in Electrical and Computer Engineering, 2011.
5. Y. Avargel and I. Cohen, “On multiplicative transfer function approximation in the short-time Fourier transform domain,” IEEE Signal Process. Lett., vol. 14, pp. 337–340, May 2007.
6. J. Benesty, C. Paleologu, and S. Ciochina, “On the identication of bilinear forms with the Wiener filter,” IEEE Signal Process. Lett., vol. 24, pp. 653–657, May 2017.
7. J. Capon, “High resolution frequency-wavenumber spectrum analysis,” Proc. IEEE, vol. 57, pp. 1408–1418, Aug. 1969.
8. R. T. Lacoss, “Data adaptive spectral analysis methods,” Geophysics, vol. 36, pp. 661–675, Aug. 1971.
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Benesty, J., Cohen, I., Chen, J. (2019). Spatiotemporal Signal Enhancement. In: Array Processing. Springer Topics in Signal Processing, vol 18. Springer, Cham. https://doi.org/10.1007/978-3-030-15600-8_7
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DOI: https://doi.org/10.1007/978-3-030-15600-8_7
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Online ISBN: 978-3-030-15600-8
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