Performance Analysis of Multichannel Wiener Filter-Based Noise Reduction in Hearing Aids Under Second Order Statistics Estimation Errors

The speech distortion weighted multichannel Wiener filter (SDW-MWF) is a promising multi-microphone noise reduction technique, in particular for hearing aid applications. Its benefit over other single- and multi-microphone techniques has been shown in several previous contributions, theoretically as well as experimentally. In theoretical studies, it is usually assumed that there is a single target speech source. The filter can then be decomposed into a conceptually interesting structure, i.e., into a spatial filter (related to other known techniques) and a single-channel postfilter, which then also allows for a performance analysis. Unfortunately, it is not straightforward to make a robust practical implementation based on this decomposition. Instead, a general SDW-MWF implementation, which only requires a (relatively easy) estimation of speech and noise correlation matrices, is mostly used in practice. This paper features a theoretical study and experimental validation on a binaural hearing aid setup of this standard SDW-MWF implementation, where the effect of estimation errors in the second-order statistics is analyzed. In this case, and for a single target speech source, the standard SDW-MWF implementation is found not to behave as predicted theoretically. Second, two recently introduced alternative filters, namely the rank-one SDW-MWF and the spatial prediction SDW-MWF, are also studied in the presence of estimation errors in the second-order statistics. These filters implicitly assume a single target speech source, but still only rely on the speech and noise correlation matrices. It is proven theoretically and illustrated through experiments that these alternative SDW-MWF implementations behave close to the theoretical optimum, and hence outperform the standard SDW-MWF implementation.

[1]  Marc Moonen,et al.  Theoretical Analysis of Binaural Multimicrophone Noise Reduction Techniques , 2010, IEEE Transactions on Audio, Speech, and Language Processing.

[2]  Volker Hohmann,et al.  Strategy-selective noise reduction for binaural digital hearing aids , 2003, Speech Commun..

[3]  L. J. Griffiths,et al.  An alternative approach to linearly constrained adaptive beamforming , 1982 .

[4]  Volkmar Hamacher Comparison of advanced monaural and binaural noise reduction algorithms for hearing aids , 2002, 2002 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[5]  Martin Vetterli,et al.  Rate-Constrained Beamforming for Collaborating Hearing Aids , 2006, 2006 IEEE International Symposium on Information Theory.

[6]  Marc Moonen,et al.  A QRD-RLS based frequency domain multichannel wiener filter algorithm for noise reduction in hearing aids , 2010, 2010 18th European Signal Processing Conference.

[7]  LotterThomas,et al.  Dual-channel speech enhancement by superdirective beamforming , 2006 .

[8]  Emanuel A. P. Habets,et al.  New Insights Into the MVDR Beamformer in Room Acoustics , 2010, IEEE Transactions on Audio, Speech, and Language Processing.

[9]  Marc Moonen,et al.  Spatially pre-processed speech distortion weighted multi-channel Wiener filtering for noise reduction , 2003, Signal Process..

[10]  Marc Moonen,et al.  Robustness analysis of multichannel Wiener filtering and generalized sidelobe cancellation for multimicrophone noise reduction in hearing aid applications , 2005, IEEE Transactions on Speech and Audio Processing.

[11]  Marc Moonen,et al.  GSVD-based optimal filtering for single and multimicrophone speech enhancement , 2002, IEEE Trans. Signal Process..

[12]  Jacob Benesty,et al.  Analysis and Comparison of Multichannel Noise Reduction Methods in a Common Framework , 2008, IEEE Transactions on Audio, Speech, and Language Processing.

[13]  Philipos C. Loizou,et al.  Speech Enhancement: Theory and Practice , 2007 .

[14]  Yariv Ephraim,et al.  A signal subspace approach for speech enhancement , 1995, IEEE Trans. Speech Audio Process..

[15]  William A. Yost,et al.  Spatial hearing: The psychophysics of human sound localization, revised edition , 1998 .

[16]  Timothy D. Trine,et al.  Digital hearing aid design: Fact vs. fantasy , 2002 .

[17]  Hiroshi Sawada,et al.  Frequency-Domain Blind Source Separation , 2007, Blind Speech Separation.

[18]  Marc Moonen,et al.  Comparison of frequency domain noise reduction strategies based on multichannel Wiener filtering and spatial prediction , 2009, 2009 IEEE International Conference on Acoustics, Speech and Signal Processing.

[19]  Jacob Benesty,et al.  A Minimum Distortion Noise Reduction Algorithm With Multiple Microphones , 2008, IEEE Transactions on Audio, Speech, and Language Processing.

[20]  Jacob Benesty,et al.  New insights into the noise reduction Wiener filter , 2006, IEEE Transactions on Audio, Speech, and Language Processing.

[21]  Patrick M. Zurek,et al.  Microphone-array hearing aids with binaural output. II. A two-microphone adaptive system , 1997, IEEE Trans. Speech Audio Process..

[22]  Joerg Bitzer,et al.  Post-Filtering Techniques , 2001, Microphone Arrays.

[23]  D. Markle,et al.  Hearing Aids , 1936, The Journal of Laryngology & Otology.

[24]  Ehud Weinstein,et al.  Signal enhancement using beamforming and nonstationarity with applications to speech , 2001, IEEE Trans. Signal Process..

[25]  Marc Moonen,et al.  Speech enhancement with multichannel Wiener filter techniques in multimicrophone binaural hearing aids. , 2009, The Journal of the Acoustical Society of America.

[26]  Douglas L. Jones,et al.  Performance of time- and frequency-domain binaural beamformers based on recorded signals from real rooms. , 2004, The Journal of the Acoustical Society of America.

[27]  P. Peterson,et al.  Intelligibility-weighted measures of speech-to-interference ratio and speech system performance. , 1993, The Journal of the Acoustical Society of America.

[28]  Henning Puder,et al.  Signal Processing in High-End Hearing Aids: State of the Art, Challenges, and Future Trends , 2005, EURASIP J. Adv. Signal Process..

[29]  Peter Vary,et al.  Dual-Channel Speech Enhancement by Superdirective Beamforming , 2006, EURASIP J. Adv. Signal Process..

[30]  A. J. Berkhout,et al.  Design of a broadside array for a binaural hearing aid , 1997, Proceedings of 1997 Workshop on Applications of Signal Processing to Audio and Acoustics.

[31]  Jacob Benesty,et al.  On Optimal Frequency-Domain Multichannel Linear Filtering for Noise Reduction , 2010, IEEE Transactions on Audio, Speech, and Language Processing.

[32]  J. Blauert Spatial Hearing: The Psychophysics of Human Sound Localization , 1983 .

[33]  B. Franklin Acoustical Factors Affecting Hearing Aid Performance. , 1981 .

[34]  Marc Moonen,et al.  The effect of multimicrophone noise reduction systems on sound source localization by users of binaural hearing aids. , 2008, The Journal of the Acoustical Society of America.

[35]  Richard M. Schwartz,et al.  Enhancement of speech corrupted by acoustic noise , 1979, ICASSP.

[36]  T Houtgast,et al.  Method for the selection of sentence materials for efficient measurement of the speech reception threshold. , 1999, The Journal of the Acoustical Society of America.

[37]  Astrid van Wieringen,et al.  Speech Understanding in Background Noise with the Two-Microphone Adaptive Beamformer BEAM™ in the Nucleus Freedom™ Cochlear Implant System , 2006, Ear and hearing.

[38]  M. Moonen,et al.  A UNIFICATION OF ADAPTIVE MULTI-MICROPHONE NOISE REDUCTIO N SYSTEMS , 2006 .

[39]  Marc Moonen,et al.  Frequency-domain criterion for the speech distortion weighted multichannel Wiener filter for robust noise reduction , 2007, Speech Commun..

[40]  Futoshi Asano,et al.  A new adaptive binaural microphone array system using a weighted least squares algorithm , 2002, 2002 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[41]  B Kollmeier,et al.  Real-time multiband dynamic compression and noise reduction for binaural hearing aids. , 1993, Journal of rehabilitation research and development.

[42]  Marc Moonen,et al.  THEORETICAL ANALYSIS OF BINAURAL CUE PRESERVATION USING MULTI-CHANNEL WIENER FILTERING AND INTERAURAL TRANSFER FUNCTIONS , 2006 .

[43]  Patrick M. Zurek,et al.  Microphone-array hearing aids with binaural output .I. Fixed-processing systems , 1997, IEEE Trans. Speech Audio Process..