• 沒有找到結果。

The results of performance in speech enhancement are presented in chapter 4. The proposed beamformer null-constraint could be used to improve the OutputSINR both in HC-KF and SOE-KF. Using the wideband selection of steering vector bound in constrained Kalman filter works in solving signal mismatch problem. In this thesis, the fact can be observed that the proposed method is capable of noise reduction and maintaining the signal distortionless at the same time. The robustness of beamformer against array steering error compared to other algorithms is shown in Fig. 42-44;48-50.

The relationship between the noise reduction and the dereverberation is a tradeoff of a beamformer. Because the existence of desired source from different direction is unknown and the environment reverberation is non-stationary, the better noise reduction performance may suppress the desired source, particularly in low frequency-bands when the number of arrays is small. To make sure the directivity of steered response is in low frequency-bands, the regulation of steering vector bound is needed according to the characteristic as in Fig. 17-19.

There are several areas for improvement in selecting the appropriate steering vector bound and tracking the beamformer nulls for interference suppression. The inequality nonlinear beam constraint would amplify the desired source and diffused noise at meanwhile; and the null constraint would make a distortion to the desired source in low frequency-bands. Therefore, it would be interesting in noise post-filtering using broadband beamforming similar to [29][30]. This is left as a future research topic. As a conclusion, a more robust adaptive post-filter for diffused noise and more solid sources tracking (similar to superdirective beamformer [34] in low frequency-bands) will be helpful to overcome the signal mismatch problem under such environment further.

REFERENCE

[1] D. Johnson and D. Dudgeon, Array Signal Processing: “Concepts and Techniques,”

Prentice Hall, Englewood Cliffs, New Jersey, 1993.

[2] D. H. Johnson and D. E. Dudgeon, Array Signal Processing., Prentice Hall, Englewood Cliffs, NJ, 1993.

[3] B. Darren Ward and A. Rodney Kennedy and C. Robert Williamson,

“ConstantDirectivity Beamforming,” Microphone Arrays Digital Signal., pp. 3-17, Springer Berlin Heidelberg, 2001.

[4] B. D. Van Veen and K. M. Buckly, “Beamforming: a versatile approach to spatial filtering,” IEEE Acoustic, Speech, Signal Processing Magazine., pp. 4-24, Apr.

1988.

[5] O. L. Frost, “An algorithm for linearly constrained adaptive array processing,”

Proc. IEEE., vol. 60, no. 8, pp. 926-935, Aug. 1972.

[6] J. Capon, “High resolution frequency-wavenumber spectrum analysis,” Proc.

IEEE., vol. 57, no. 8, pp. 1408-1418, August. 1969.

[7] L. J. Griffiths and C. W. Jim, “An alternative approach to linearly constrained adaptive beamforming,” IEEE Trans. on Antennas Propagation., vol. AP-30, pp.

27-34, Jan. 1982.

[8] J. W. Kim and C. K. Un, “An adaptive array robust to beam pointing error,” IEEE

Trans. Signal Processing., vol. 40, no. 6, pp. 1582-1584, Jun. 1992.

[9] N. K. Jablon, “Adaptive beamforming with the generalized sidelobe canceller in the presence of array imperfections,” IEEE Trans. Antennas Propagation., vol.

AP-34, no. 8, pp. 996-1012, Aug. 1986.

[10] A. B. Gershman, Y. Hua and Q. Cheng, Eds., “Robustness issues in adaptive beamforming and high-resolution direction finding, in High-Resolution and

Robust Signal Processing,” pp. 63-110, Marcel Drekker, New York, 2003.

[11] M. L. R. de Campos, S. Werner, J. Antonio Apolinário, Jr., “Constrained Adaptation Algorithms Employing Householder Transformation On Signal Process,” IEEE Transactions on Signal Processing., vol. 50, no. 9, September 2002.

[12] Y. H. Chen, C. T. Chiang, “Adaptive beamforming using the constrained Kalman filter,” IEEE Trans. Antennas Propagation., vol. 41, no. 11, pp. 1576–1580, Nov.

1993.

[13] D. Simon, “Kalman filtering with state constraints: a survey of linear and nonlinear algorithms,” IET Control Theory Appl., 2010, Vol. 4, Iss. 8, pp. 1303–

1318.

[14] C. Jiang and Y. Zhang, “Some Results on Kalman Filtering with Linear Equality State Constraints,” 2011 6th IEEE Conference on Industrial Electronics and

Applications.

[15] N. Gupta, “Mathematically Equivalent Approaches for Equality Constrained Kalman Filtering,” arXiv:0902.1565v1 [math.OC] 10 Feb 2009

[16] S. Eng Nai and W. Ser and Z. Liang Yu and H. Chen, “Iterative Robust Minimum Variance Beamforming,” IEEE Transactions on Signal Processing., vol. 59, no. 4, April 2011.

[17] A. Sergiy Vorobyov and B. Alex Gershman and Zhi-Quan Luo, “Robust Adaptive Beamforming Using Worst-Case Performance Optimization,” IEEE Transactions

on Signal Processing., vol. 51, no. 2, February 2003.

[18] A. El-Keyi and T. Kirubaraj and A. B. Gershman, “Robust adaptive beamforming based on the Kalman filter,” IEEE Transactions on Signal Processing., vol. 53, no.

8, August 2005.

[19] J. Li, P. Stoica and Z. Wang, “On Robust Capon Beamforming and Diagonal Loading,” IEEE Transactions on Signal Processing., vol. 51, no. 7, July 2003.

[20] R. G. Lorenz and S. P. Boyd, “Robust minimum variance beamforming,” IEEE

Transactions on Signal Processing., vol. 53, no. 5, May 2005.

[21] H. Jwu-Sheng and L. Ming-Tang and Y. Chia-Hsin, “Robust Adaptive Beamformer for Speech Enhancement Using the Second-Order Extended H∞

Filter,” IEEE Transactions on Audio, Speech, and Language Processing., vol. 21, no. 1, January 2013.

[22] W. Liu, S. Weiss, Wideband Beamforming Concepts and Techniques, 2rd ed., Wireless Communications and Mobile Computing vol. 17, John Wiley & Sons, 2010.

[23] H. L. V. Trees, Detection, Estimation, and Modulation Theory, Optimum Array Processing. Detection, Estimation, and Modulation Theory vol. 4, John Wiley &

Sons, 2004.

[24]B. D. Carlson, “Covariance Matrix Estimation Errors and Diagonal Loading in Adaptive Arrays,” IEEE Transactions on Aerospace and Electronic

Systems., vol. 24. no 4 July 1988.

[25] D. D. Feldman and L. J. Griffiths, “A projection approach for robust adaptive beamforming,” IEEE Transactions on Signal Processing., vol. 42, no. 4, April 1994.

[26] N. Gupta, R. Hauser, “Kalman Filtering with Equality and Inequality State Constraints,” arXiv:0709.2791v1 [math.OC] 18 Sep 2007.

[27] A. W. Rix, J. G. Beerends, M. P. Hollier, and A. P. Hekstra2, Perceptual evaluation of speech quality (PESQ) : An objective method for end-to-end speech quality assessment of narrow-band telephone networks and speech codecs ITU-T P.862, 2001.

[28] C. Yu-Cheng, “Adaptive Beamformer for Speech Enhancement Using Kalman Filter with Reference Signal Tracking,” September 2011.

[29]

M. Souden, J. Benesty, and S. Affes, “A study of the LCMV and MVDR noise reduction filters,” IEEE Trans. Signal Process,. vol. 58, no. 9, pp. 4925-4935, Sep.

2010.

[30] E. Habets, J. Benesty, I. Cohen, S. Gannot, and J. Dmochowski, “New insights into the MVDR beamformer in room acoustics,” IEEE Trans. Audio, Speech,

Lang. Process., vol. 18, no. 1, pp.158-170, Jan. 2010.

[31] E. A. P. Habets, Room impulse Response Generator Technische Universiteit Eindhoven, 2006, Tech. Rep.

[32] G. Lathoud and I.A. McCowan, “A Sector-Based Approach for Localization of Multiple Speakers with Microphone Arrays,” in Proc. SAPA 2004, Oct. 2004.

[33] G. Lathoud, “Spatial-Temporal Analysis of Spontaneous Speech with Microphone

Arrays”, Ph.D. thesis, Ecole Polytechnique Federale de Lausanne, Dec. 2006.

[34] S. Doclo, and M. Moonen, “Superdirective Beamforming Robust Against Microphone Mismatch,” IEEE Trans. on Audio,Speech, and Language

Processing,. vol. 15, no. 2, Feb. 2007.

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