Abstract
The concept of linear difference beamforming can be applied to the general filtering technique for speech enhancement. This is the purpose of this chapter. First, we explain the signal model and show how linear difference filtering works in noise reduction. Second, we derive the most important performance measures. Finally, we develop some examples of optimal speech enhancement filters. We only discuss the case with first-order linear difference equations; generalization to higher orders is straightforward.
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Notes
- 1.
Because of the null constraint already applied in the direction of the interference thanks to the difference equations, the MVDR filter here, actually, corresponds to the conventional LCMV filter.
References
J. Benesty, I. Cohen, J. Chen, Fundamentals of Signal Enhancement and Array Signal Processing (Wiley–IEEE Press, Singapore, 2018)
J.N. Franklin, Matrix Theory (Prentice-Hall, Englewood Cliffs, 1968)
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Benesty, J., Cohen, I., Chen, J. (2021). Application to Speech Enhancement. In: Array Beamforming with Linear Difference Equations. Springer Topics in Signal Processing, vol 20. Springer, Cham. https://doi.org/10.1007/978-3-030-68273-6_6
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DOI: https://doi.org/10.1007/978-3-030-68273-6_6
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