Maximum likelihood PSD estimation for speech enhancement in reverberation and noise

IEEE/ACM Transactions on Audio Speech and Language Processing

Volumn 24, Issue 9, 2016, Pages 1599-1612

  Kuklasinski, Adam ^a,c   Doclo, Simon ^b   Jensen, Soren Holdt ^c   Jensen, Jesper ^a,c  

^a OTICON A S   (Denmark)

^b UNIVERSITY OF OLDENBURG   (Germany)

^c AALBORG UNIVERSITY   (Denmark)

Author keywords

Cram r Rao lower bound; maximum likelihood estimation; microphone array; PSD estimation; reverberation

Indexed keywords

MICROPHONES; POWER SPECTRAL DENSITY; REVERBERATION; SPECTRAL DENSITY; SPEECH ENHANCEMENT; SPEECH INTELLIGIBILITY;

INTELLIGIBILITY IMPROVEMENTS; LOWER BOUNDS; MICROPHONE ARRAYS; MULTICHANNEL WIENER FILTER; POWER SPECTRAL DENSITIES (PSD); SECOND ORDER STATISTICS; SPEECH DEREVERBERATION; SPEECH INTELLIGIBILITY TESTS;

MAXIMUM LIKELIHOOD ESTIMATION;

EID: 84979984748     PISSN: 23299290     EISSN: 23299304     Source Type: Journal    
DOI: 10.1109/TASLP.2016.2573591     Document Type: Article

References (52)

1. A. Kuklasinski, S. Doclo, T. Gerkmann, S. H. Gensen, and J. Jensen, "Multi-channel PSD estimators for speech dereverberation "a theoretical and experimental comparison," in Proc. IEEE Int. Conf. Acoustics, Speech, Signal Process., Brisbane, Australia, 2015, pp. 91-95.
2. A. Kuklasinski, S. Doclo, and J. Jensen, "Maximum likelihood PSD estimation for speech enhancement in reverberant and noisy conditions," in Proc. IEEE Int. Conf. Acoustics, Speech Signal Process., Shanghai, China, 2016, pp. 599-603.
3. J. S. Bradley, H. Sato, and M. Picard, "On the importance of early reflections for speech in rooms," J. Acoust. Soc. Amer., vol. 113, no. 6, pp. 3233-3244, 2003.
4. P. A. Naylor and N. D. Gaubitch, "Introduction," in Speech Dereverberation, P. A. Naylor and N. D. Gaubitch, Eds. London, U.K.: Springer, 2010, pp. 1-15.
5. D. Schmid, G. Enzer, S. Malik, D. Kolossa, and R. Martin, "Variational Bayesian inference for multichannel dereverberation and noise reduction," IEEE/ACMTrans. Audio, Speech, Language Process., vol. 22, no. 8, pp. 1320-1335, Aug. 2014.
6. I. Kodrasi and S. Doclo, "Joint dereverberation and noise reduction based on acoustic multichannel equalization," in Proc. 14th Int. Workshop Acoustic Echo Signal Enhancement, Sep. 2014, pp. 139-143.
7. J. Benesty, S. Makino, and J. Chen, "Introduction," in Speech Enhancement, J. Benesty, S. Makino, and J. Chen, Eds. Berlin, Germany: Springer, 2005, pp. 1-8.
8. J. Lim and A. Oppenheim, "Enhancement and bandwidth compression of noisy speech," Proc. IEEE, vol. 67, no. 12, pp. 1586-1604, Dec. 1979.
9. P. C. Loizou, Speech Enhancement: Theory and Practice. NewYork, NY, USA: Taylor and Francis, 2007.
10. K. Lebart, J. M. Boucher, and P. N. Denbigh, "A new method based on spectral subtraction for speech dereverberation," Acta Acustica United Acustica, vol. 87, no. 3, pp. 359-366, 2001.
11. E. A. P. Habets, "Single-channel speech dereverberation based on spectral subtraction," in Proc. 15th Annu. Workshop Circuits, Syst. Signal Process., 2004, pp. 250-254.
12. J. B. Allen, D. A. Berkley, and J. Blauert, "Multimicrophone signalprocessing technique to remove room reverberation from speech signals," J. Acoust. Soc. Amer., vol. 62, no. 4, pp. 912-915, 1977.
13. R. Zelinski, "A microphone array with adaptive post-filtering for noise reduction in reverberant rooms," in Proc. IEEE Int. Conf. Acoust. Speech Signal Process., Apr. 1988, vol. 5, pp. 2578-2581.
14. S. Doclo, S. Gannot, M. Moonen, and A. Spriet, "Acoustic beamforming for hearing aid applications," in Handbook on Array Processing and Sensor Networks, S. Haykin and K. J. R. Liu, Eds. Hoboken, NJ, USA:Wiley, 2008, pp. 269-302.
15. S. Doclo, A. Spriet, J. Wouters, and M. Moonen, "Frequency-domain criterion for the speech distortion weighted multichannelWiener filter for robust noise reduction," Speech Commun., vol. 49, nos. 7/8, pp. 636-656, 2007.
16. J. Jensen and M. S. Pedersen, "Analysis of beamformer-directed singlechannel noise reduction system for hearing aid applications," in Proc. IEEE Int. Conf. Acoustics, Speech Signal Process., Brisbane, Australia, 2015, pp. 5728-5732.
17. S. Braun and E. A. P. Habets, "Dereverberation in noisy environments using reference signals and a maximum likelihood estimator," presented at the 21st European Signal Processing Conf., Marrakech, Morocco, 2013.
18. A. Kuklasinski, S. Doclo, S. H. Jensen, and J. Jensen, "Maximum likelihood based multi-channel isotropic reverberation reduction for hearing aids," in Proc. 22nd Eur. Signal Process. Conf., Lisbon, Portugal, 2014, pp. 61-65.
19. Y. Hu and P. Loizou, "Evaluation of objective quality measures for speech enhancement," IEEE Trans. Audio, Speech, Language Process., vol. 16, no. 1, pp. 229-238, Jan. 2008.
20. Perceptual Evaluation of Speech Quality: An Objective Method for Endto- End Speech Quality Assessment of Narrow-Band Telephone Networks and Speech Codecs, ITU-T Rec. P. 862, 2001.
21. S. Gustafsson, R. Martin, P. Jax, and P. Vary, "A psychoacoustic approach to combined acoustic echo cancellation and noise reduction," IEEE Trans. Speech Audio Process., vol. 10, no. 5, pp. 245-256, Jul. 2002.
22. J. S. Erkelens, R. C. Hendriks, R. Heusdens, and J. Jensen, "Minimum mean-square error estimation of discrete fourier coefficients with generalized Gamma priors," IEEE Trans. Audio, Speech, Language Process., vol. 15, no. 6, pp. 1741-1752, Aug. 2007.
23. I. Cohen, "Speech enhancement using a noncausal a priori SNR estimator," IEEE Signal Process. Lett., vol. 11, no. 9, pp. 725-728, Sep. 2004.
24. G. W. Elko, E. Diethorn, and T. Gaensler, "Room impulse response variation due to temperature fluctuations and its impact on acoustic echo cancellation," in Proc. Int. Workshop Acoustic Echo Noise Control, Kyoto, Japan, 2003, pp. 67-70.
25. J. Mourjopoulos, "On the variation and invertibility of room impulse response functions," J. Sound Vibration, vol. 102, no. 2, pp. 217-228, 1985.
26. S. Gazor and W. Zhang, "Speech probability distribution," IEEE Signal Process. Lett., vol. 10, no. 7, pp. 204-207, Jul. 2003.
27. R. Martin, "Speech enhancement based on minimum mean-square error estimation and supergaussian priors," IEEE Trans. Speech Audio Process., vol. 13, no. 5, pp. 845-856, Sep. 2005.
28. J. Jensen, I. Batina, R. C. Hendriks, and R. Heusdens, "A study of the distribution of time-domain speech samples and discrete fourier coefficients," in Proc. IEEE 1st BENELUX/DSP Valley Signal Process. Syst., 2005, vol. 1, pp. 155-158.
29. S. Gannot, D. Burshtein, and E. Weinstein, "Signal enhancement using beamforming and nonstationarity with applications to speech," IEEE Trans. Signal Process., vol. 49, no. 8, pp. 1614-1626, Aug. 2001.
30. I. Cohen, "Relative transfer function identification using speech signals," IEEE Trans. Speech Audio Process., vol. 12, no. 5, pp. 451-459, Sep. 2004.
31. R. Talmon, I. Cohen, and S. Gannot, "Convolutive transfer function generalized sidelobe canceler," IEEE Trans. Audio, Speech, Language Process., vol. 17, no. 7, pp. 1420-1434, Sep. 2009.
32. H. Kuttruff, Room Acoustics, 5th ed. New york, NY, USA: Taylor and Francis, 2009.
33. R. K. Cook, R. V. Waterhouse, R. D. Berendt, S, Edelman, and M. C. Thompson, Jr, "Measurement of correlation coefficients in reverberant sound fields," J. Acoust. Soc. Amer ., vol. 27, no. 6, pp. 1072-1077, 1955.
34. G. W. Elko, "Spatial coherence functions for differential microphones in isotropic noise fields," in Microphone Arrays, M. Brandstein and D. Ward, Eds. New York, NY, USA: Springer, 2001, pp. 61-85.
35. M. Souden, J. Chen, J. Benesty, and S. Affes, "Gaussian model-based multichannel speech presence probability," IEEE Trans. Audio, Speech, Language Process., vol. 18, no. 5, pp. 1072-1077, Jul. 2010.
36. H. Ye and R. D. DeGroat, "Maximum likelihood DOA estimation and asymptotic Cramer-Rao bounds for additive unknown colored noise," IEEE Trans. Signal Process., vol. 43, no. 4, pp. 938-949, Apr. 1995.
37. H. Cox, R. Zeskind, and M. Owen, "Robust adaptive beamforming," IEEE Trans. Acoust., Speech, Signal Process., vol. ASSP-35, no. 10, pp. 1365-1376, Oct. 1987.
38. U. Kjems and J. Jensen, "Maximum likelihood based noise covariance matrix estimation for multi-microphone speech enhancement," in Proc. 20th Eur. Signal Process. Conf., Bucharest, Romania, 2012, pp. 295-299.
39. K. B. Petersen and M. S. Pedersen, "The matrix cookbook," Nov. 2012. Online. Available: http://www.math.uwaterloo.ca/hwolkowi/matrixcookbook.pdf
40. J. R. Magnus and H. Neudecker, Matrix Differential Calculus With Applications in Statistics and Econometrics. Hoboken, NJ, USA: Wiley, 2007. Online. Available: http://www.janmagnus.nl/misc/mdc2007-3rdedition
41. J. S. Garofolo, L. S. Lamel, W. M. Fisher, J. G. Fiscus, D. S. Pallet, and N. L. Dahlgren, DARPA TIMIT Acoustic-Phonetic Continuous Speech Corpus CD-ROM, NIST Interagency/Internal Report (NISTIR)-4930, 1993.
42. K. Wagener, J. L. Josvassen, and R. Ardenkjr, "Design, optimization and evaluation of a Danish sentence test in noise," Int. J. Audiol., vol. 42, no. 1, pp. 10-17, 2003.
43. E. R. Pedersen and P. M. Juhl, "Speech in noise test based on a tenalternative forced choice procedure," in Proc. Baltic-Nordic Acoustics Meet., 2012.
44. I. Holube, S. Fredelake, M. Vlaming, and B. Kollmeier, "Development and analysis of an international speech test signal (ISTS)," Int. J. Audiol., vol. 49, no. 12, pp. 891-903, 2010.
45. B. C. Moore, An Introduction to the Psychology of Hearing, Leiden, The Netherlands: Brill, 2012.
46. S. Doclo, R. Dong, T. J. Klasen, J. Wouters, S. Haykin, and M. Moonen, "Extension of the multi-channel Wiener filter with ITD cues for noise reduction in binaural hearing aids," in Proc. IEEE Workshop on Applications of Signal Processing to Audio and Acoustics, New Paltz, NY, USA, 2005, pp. 70-73.
47. D. J. Sheskin, Handbook of Parametric and Nonparametric Statistical Procedures, Boca Raton, FL, USA: CRC Press, 2011.
48. G. A. Studebaker, "A rationalized arcsine transform," J. Speech, Language, Hearing Res., vol. 28, no. 3, pp. 455-462, 1985.
49. Y. Hu and P. C. Loizou, "A comparative intelligibility study of singlemicrophone noise reduction algorithms," J. Acoust. Soc. Amer., vol. 122, no. 3, pp. 1777-1786, 2007.
50. A. Kuklasinski, S. Doclo, S. H. Jensen, and J. Jensen, "Multi-channel Wiener filter for speech dereverberation in hearing aids-Sensitivity to DoAerrors," presented at the 60th InternationalConf.,DREAMS, Leuven, Belgium, 2016.
51. R. A. Horn and C. R. Johnson, Matrix Analysis. Cambridge, U.K.: Cambridge Univ. Press, 1990.
52. S. M. Kay, Fundamentals of Statistical Signal Processing, Volume I: Estimation Theory (Prentice Hall Signal Processing Series). Englewood Cliffs, NJ, USA: Prentice-Hall, 1993.