Subspace-based noise reduction for speech signals via diagonal and triangular matrix decompositions: Survey and analysis

Eurasip Journal on Advances in Signal Processing

Volumn 2007, Issue , 2007, Pages

  Hansen, Per Christian ^a   Jensen, Soren Holdt ^b  

^a TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

^b AALBORG UNIVERSITY   (Denmark)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; EIGENVALUES AND EIGENFUNCTIONS; FIR FILTERS; MATLAB; SINGULAR VALUE DECOMPOSITION; SPEECH PROCESSING; SPEECH SYNTHESIS;

MATLAB CODE; MATRIX DECOMPOSITIONS; SPEECH SIGNALS;

NOISE ABATEMENT;

EID: 34347233500     PISSN: 16876172     EISSN: 16876180     Source Type: Journal    
DOI: 10.1155/2007/92953     Document Type: Article

References (57)

1. S. Doclo M. Moonen GSVD-based optimal filtering for single and multimicrophone speech enhancement. IEEE Transactions on Signal Processing 50 9 2002 2230 2244
2. G. H. Golub C. F. Van Loan Matrix Computations. 3rd The Johns Hopkins University Press Baltimore, Md, USA 1996
3. G. W. Stewart Matrix Algorithms. Volume 1: Basic Decompositions. SIAM Press Philadelphia, Pa, USA 1998
4. G. W. Stewart stewart@cs.umd.edu The decompositional approach to matrix computation. Computing in Science and Engineering 2 1 2000 50 59
5. L. L. Scharf D. W. Tufts Rank reduction for modeling stationary signals. IEEE Transactions on Acoustics, Speech, and Signal Processing 35 3 1987 350 355
6. D. W. Tufts R. Kumaresan Singular value decomposition and improved frequency estimation using linear prediction. IEEE Transactions on Acoustics, Speech, and Signal Processing 30 4 1982 671 675
7. J. A. Cadzow Signal enhancement-a composite property mapping algorithm. IEEE Transactions on Acoustics, Speech, and Signal Processing 36 1 1988 49 62
8. B. De Moor The singular value decomposition and long and short spaces of noisy matrices. IEEE Transactions on Signal Processing 41 9 1993 2826 2838
9. L. L. Scharf The SVD and reduced rank signal processing. Signal Processing 25 2 1991 113 133
10. M. Dendrinos S. Bakamidis G. Carayannis Speech enhancement from noise: a regenerative approach. Speech Communication 10 1 1991 45 57
11. S. Van Huffel Enhanced resolution based on minimum variance estimation and exponential data modeling. Signal Processing 33 3 1993 333 355
12. Y. Ephraim H. L. Van Trees A signal subspace approach for speech enhancement. IEEE Transactions on Speech and Audio Processing 3 4 1995 251 266
13. J. Huang jhuang@ifp.uiuc.edu Y. Zhao Energy-constrained signal subspace method for speech enhancement and recognition. IEEE Signal Processing Letters 4 10 1997 283 285
14. A. Rezayee afshin@eecg.toronto.edu S. Gazor An adaptive KLT approach for speech enhancement. IEEE Transactions on Speech and Audio Processing 9 2 2001 87 95
15. S. H. Jensen P. C. Hansen S. D. Hansen J. Aa. Sørensen Reduction of broad-band noise in speech by truncated QSVD. IEEE Transactions on Speech and Audio Processing 3 6 1995 439 448
16. Y. Hu P. C. Loizou A subspace approach for enhancing speech corrupted by colored noise. IEEE Signal Processing Letters 9 7 2002 204 206
17. Y. Hu yihuyxy@ut-dallas.edu P. C. Loizou loizou@utdallas.edu A generalized subspace approach for enhancing speech corrupted by colored noise. IEEE Transactions on Speech and Audio Processing 11 4 2003 334 341
18. H. Lev-Ari levari@ece.neu.edu Y. Ephraim yephraim@gmu.edu Extension of the signal subspace speech enhancement approach to colored noise. IEEE Signal Processing Letters 10 4 2003 104 106
19. U. Mittal udar@sbee.sunysb.edu N. Phamdo phamdo@sbee.sunysb.edu Signal/noise KLT based approach for enhancing speech degraded by colored noise. IEEE Transactions on Speech and Audio Processing 8 2 2000 159 167
20. M. Moonen P. Van Dooren J. Vandewalle A singular value decomposition updating algorithm for subspace tracking. SIAM Journal on Matrix Analysis and Applications 13 4 1992 1015 1038
21. G. W. Stewart An updating algorithm for subspace tracking. IEEE Transactions on Signal Processing 40 6 1992 1535 1541
22. G. W. Stewart Updating a rank-revealing ULV decomposition. SIAM Journal on Matrix Analysis and Applications 14 2 1993 494 499
23. G. Adams M. F. Griffin G. W. Stewart Direction-of-arrival estimation using the rank-revealing URV decomposition. Proceedings of the International Conference on Acoustics, Speech, and Signal Processing (ICASSP '91) Toronto, Ontario, Canada 2 1991 1385 1388
24. K. J. R. Liu D. P. O'Leary G. W. Stewart Y.-J. J. Wu URV ESPRIT for tracking time-varying signals. IEEE Transactions on Signal Processing 42 12 1994 3441 3448
25. S. Van Huffel H. Zha An efficient total least squares algorithm based on a rank-revealing two-sided orthogonal decomposition. Numerical Algorithms 4 1-2 1993 101 133
26. F. T. Luk S. Qiao A new matrix decomposition for signal processing. Automatica 30 1 1994 39 43
27. F. T. Luk S. Qiao F. T. Luk Adaptive algorithm for interference canceling in array processing. Advanced Signal Processing Algorithms, Architectures, and Implementations VI Proceedings of SPIE 2846 Denver, Colo, USA 1996 151 161
28. A. W. Bojanczyk J. M. Lebak J. G. Lewis Downdating a ULLV decomposition of two matrices. Proceedings of the 5th SIAM Conference on Applied Linear Algebra SIAM Snowbird, Utah, USA 1994 261 265
29. W. Zhong S. Li H.-M. Tai tai@utulsa.edu Signal subspace approach for narrowband noise reduction in speech. IEE Proceedings: Vision, Image and Signal Processing 152 6 2005 800 805
30. P. C. Hansen Rank-deficient prewhitening with quotient SVD and ULV decompositions. BIT Numerical Mathematics 38 1 1998 34 43
31. P. C. Hansen pch@imm.dtu.dk S. H. Jensen shj@kom.aau.dk Prewhitening for rank-deficient noise in subspace methods for noise reduction. IEEE Transactions on Signal Processing 53 10 2005 3718 3726
32. I. Dologlou G. Carayannis Physical interpretation of signal reconstruction from reduced rank matrices. IEEE Transactions on Signal Processing 39 7 1991 1681 1682
33. P. C. Hansen S. H. Jensen FIR filter representations of reduced-rank noise reduction. IEEE Transactions on Signal Processing 46 6 1998 1737 1741
34. P. C. Hansen Rank-Deficient and Discrete Ill-Posed Problems: Numerical Aspects of Linear Inversion. SIAM Philadelphia, Pa, USA 1998
35. G. W. Stewart Rank degeneracy. SIAM Journal on Scientific and Statistical Computing 5 2 1984 403 413
36. K. Konstantinides K. Yao Statistical analysis of effective singular values in matrix rank determination. IEEE Transactions on Acoustics, Speech, and Signal Processing 36 5 1988 757 763
37. F. Jabloun B. Champagne Incorporating the human hearing properties in the signal subspace approach for speech enhancement. IEEE Transactions on Speech and Audio Processing 11 6 2003 700 708
38. C. H. You echyou@i2r.a-star.edu.sg S. N. Koh esnkoh@ntu.edu.sg S. Rahardja rsusanto@i2r.a-star.edu.sg An invertible frequency eigendomain transformation for masking-based subspace speech enhancement. IEEE Signal Processing Letters 12 6 2005 461 464
39. R. J. McAulay T. F. Quateri Speech analysis/synthesis based on a sinusoidal representation. IEEE Transactions on Acoustics, Speech, and Signal Processing 34 4 1986 744 754
40. L. Vanhamme R. D. Fierro S. Van Huffel R. de Beer Fast removal of residual water in proton spectra. Journal of Magnetic Resonance 132 2 1998 197 203
41. L. Vanhamme T. Sundin P. van Hecke S. Van Huffel MR spectroscopy quantitation: a review of time-domain methods. NMR in Biomedicine 14 2001 4 233 246
42. B. De Moor Total least squares for affinely structured matrices and the noisy realization problem. IEEE Transactions on Signal Processing 42 11 1994 3104 3113
43. P. C. Hansen The truncated SVD as a method for regularization. BIT Numerical Mathematics 27 4 1987 534 553
44. . Björck Numerical Methods for Least Squares Problems. SIAM Philadelphia, Pa, USA 1996
45. A. J. Thorpe L. L. Scharf Data adaptive rank-shaping methods for solving least squares problems. IEEE Transactions on Signal Processing 43 7 1995 1591 1601
46. R. D. Fierro fierro@thunder.csusm.edu P. C. Hansen pch@imm.dtu.dk Low-rank revealing UTV decompositions. Numerical Algorithms 15 1 1997 37 55
47. R. D. Fierro fierro@thunder.csusm.edu P. C. Hansen pch@imm.dtu.dk P. S. K. Hansen pskh@imm.dtu.dk UTV Tools: Matlab templates for rank-revealing UTV decompositions. Numerical Algorithms 20 2-3 1999 165 194
48. R. D. Fierro fierro@csusm.edu P. C. Hansen pch@imm.dtu.dk UTV Expansion Pack: special-purpose rank-revealing algorithms. Numerical Algorithms 40 1 2005 47 66
49. G. H. Golub Numerical methods for solving least squares problems. Numerische Mathematik 7 3 1965 206 216
50. P. S. K. Hansen P. C. Hansen S. D. Hansen J. Aa. Sørensen Noise reduction of speech signals using the rank-revealing ULLV decomposition. Signal Processing VIII. Theories and Applications, Proceedings of the 8th European Signal Processing Conference (EUSIPCO '96) 2 Trieste, Italy 1996 967 970
51. P. S. K. Hansen P. C. Hansen S. D. Hansen J. Aa. Sørensen ULV-based signal subspace methods for speech enhancement. Proceedings of International Workshop on Acoustic Echo and Noise Control (IWAENC '97) London, UK 1997 9 12
52. F. T. Luk S. Qiao A symmetric rank-revealing Toeplitz matrix decomposition. The Journal of VLSI Signal Processing 14 1 1996 19 28
53. P. C. Hansen P. Y. Yalamov Computing symmetric rank-revealing decompositions via triangular factorization. SIAM Journal on Matrix Analysis and Applications 23 2 2001 443 458
54. J. Jensen R. C. Hendriks R. Heusdens S. H. Jensen Smoothed subspace based noise suppression with application to speech enhancement. Proceedings of the 13th European Signal Processing Conference (EUSIPCO '05) Antalya, Turkey 2005
55. J. R. Bunch C. P. Nielsen Updating the singular value decomposition. Numerische Mathematik 31 2 1978 111 129
56. M. Gu S. C. Eisenstat Downdating the singular value decomposition. SIAM Journal on Matrix Analysis and Applications 16 1995 3 793 810
57. . Björck G. H. Golub Numerical methods for computing angles between linear subspaces. Mathematics of Computation 27 1973 123 579 594