Blind Source Separation Using Two-Dimensional Nonnegative Matrix Factorization In Biomedical Field

Blind Source Separation (BSS) refers to the statistical technique of separating a mixture of underlying source signals.BSS denotes as a phenomena and separation on mixed heart-lung sound is one of its example.The challenge of this research is to separate the separate lung sound and heart sound from...

Full description

Saved in:
Bibliographic Details
Main Author: Toh, Cheng Chuan
Format: Thesis
Language:English
English
Published: 2018
Subjects:
Online Access:http://eprints.utem.edu.my/id/eprint/23290/1/Blind%20Source%20Separation%20Using%20Two-Dimensional%20Nonnegative%20Matrix%20Factorization%20In%20Biomedical%20Field.pdf
http://eprints.utem.edu.my/id/eprint/23290/2/Blind%20Source%20Separation%20Using%20Two-Dimensional%20Nonnegative%20Matrix%20Factorization%20In%20Biomedical%20Field.pdf
Tags: Add Tag
No Tags, Be the first to tag this record!
id my-utem-ep.23290
record_format uketd_dc
institution Universiti Teknikal Malaysia Melaka
collection UTeM Repository
language English
English
advisor Darsono, Abd Majid

topic T Technology (General)
T Technology (General)
spellingShingle T Technology (General)
T Technology (General)
Toh, Cheng Chuan
Blind Source Separation Using Two-Dimensional Nonnegative Matrix Factorization In Biomedical Field
description Blind Source Separation (BSS) refers to the statistical technique of separating a mixture of underlying source signals.BSS denotes as a phenomena and separation on mixed heart-lung sound is one of its example.The challenge of this research is to separate the separate lung sound and heart sound from mixed heart-lung sound.A clear lung sound for diagnosis purpose able to be obtained after separating the mixed heart-lung sound.In biomedical field,lung information is precious due to it has been provided for respiratory diagnosis.However,the interference of heart sound towards lung sound will generate ambiguity and it will lead to drop down the accuracy of diagnosis.Thus,a clean lung sound is needed to increases the accuracy of diagnosis.One of the ways for non-invasive respiratory diagnosis for obtaining lung information is through extracting lung sound from mixed heart-lung sound by using Two-Dimensional Nonnegative Matrix Factorization (NMF2D) algorithm.This method is based on cocktail party effect in which it refers to human brain able to selectively listen to target among a cacophony of conversations and background noise and this considered as a difficult task to machine.Therefore, duplication on cocktail party effect into machine is used to separate the mixed heart-lung sound.This research presents a novel approach NMF2D algorithm in which a suitable model for signal mixture that accommodated the reverberations and nonlinearity of the signals.The objectives of this research are focusing on investigating the useful signal analysis algorithms,defining a new technique of signal separability,designing and developing novel methods for BSS. In order to process estimation results,cost function such as β-divergence and α-divergence is integrated with NMF2D.Provisions of experiment are convolutive mixed signal is sampled and real recording using under single channel,Time-Frequency (TF) domain is computed by using Short Time Fourier Transform (STFT) respectively.Performance evaluation is done in term of Signal-to-Distortion Ratio (SDR). Theoretically,β and α is parameters that used to vary the NMF2D algorithm in order to yield high SDR value. Experimentally,for the simulation results,the highest SDR value for β-divergence NMF2D is SDR = 16.69dB at β = 0.8 and n = 100.For α-divergence NMF2D,the highest SDR value is SDR = 17.85dB at α = 1.5 and n = 100.Additional of sparseness constraints toward β-divergence NMF2D and α-divergence NMF2D lead to even higher SDR value.There are SDR = 17.06dB for sparse β-divergence NMF2D at λ = 2.5 and SDR = 17.99dB for sparse α-divergence NMF2D at λ = 5. This represents sparseness constraints yield to decrease ambiguity and provide uniqueness to the model.In comparison in between β-divergence,α-divergence,sparse β-divergence and sparse α-divergence NMF2D,it found that SDR value of sparse α-divergence NMF2D is the best decomposition method among all divergences.This can be concluded that sparse α-divergence NMF2D is more applicable in separating real data recording.
format Thesis
qualification_name Master of Philosophy (M.Phil.)
qualification_level Master's degree
author Toh, Cheng Chuan
author_facet Toh, Cheng Chuan
author_sort Toh, Cheng Chuan
title Blind Source Separation Using Two-Dimensional Nonnegative Matrix Factorization In Biomedical Field
title_short Blind Source Separation Using Two-Dimensional Nonnegative Matrix Factorization In Biomedical Field
title_full Blind Source Separation Using Two-Dimensional Nonnegative Matrix Factorization In Biomedical Field
title_fullStr Blind Source Separation Using Two-Dimensional Nonnegative Matrix Factorization In Biomedical Field
title_full_unstemmed Blind Source Separation Using Two-Dimensional Nonnegative Matrix Factorization In Biomedical Field
title_sort blind source separation using two-dimensional nonnegative matrix factorization in biomedical field
granting_institution UTeM
granting_department Faculty Of Electronic And Computer Engineering
publishDate 2018
url http://eprints.utem.edu.my/id/eprint/23290/1/Blind%20Source%20Separation%20Using%20Two-Dimensional%20Nonnegative%20Matrix%20Factorization%20In%20Biomedical%20Field.pdf
http://eprints.utem.edu.my/id/eprint/23290/2/Blind%20Source%20Separation%20Using%20Two-Dimensional%20Nonnegative%20Matrix%20Factorization%20In%20Biomedical%20Field.pdf
_version_ 1747834028428361728
spelling my-utem-ep.232902022-02-10T10:51:49Z Blind Source Separation Using Two-Dimensional Nonnegative Matrix Factorization In Biomedical Field 2018 Toh, Cheng Chuan T Technology (General) TK Electrical engineering. Electronics Nuclear engineering Blind Source Separation (BSS) refers to the statistical technique of separating a mixture of underlying source signals.BSS denotes as a phenomena and separation on mixed heart-lung sound is one of its example.The challenge of this research is to separate the separate lung sound and heart sound from mixed heart-lung sound.A clear lung sound for diagnosis purpose able to be obtained after separating the mixed heart-lung sound.In biomedical field,lung information is precious due to it has been provided for respiratory diagnosis.However,the interference of heart sound towards lung sound will generate ambiguity and it will lead to drop down the accuracy of diagnosis.Thus,a clean lung sound is needed to increases the accuracy of diagnosis.One of the ways for non-invasive respiratory diagnosis for obtaining lung information is through extracting lung sound from mixed heart-lung sound by using Two-Dimensional Nonnegative Matrix Factorization (NMF2D) algorithm.This method is based on cocktail party effect in which it refers to human brain able to selectively listen to target among a cacophony of conversations and background noise and this considered as a difficult task to machine.Therefore, duplication on cocktail party effect into machine is used to separate the mixed heart-lung sound.This research presents a novel approach NMF2D algorithm in which a suitable model for signal mixture that accommodated the reverberations and nonlinearity of the signals.The objectives of this research are focusing on investigating the useful signal analysis algorithms,defining a new technique of signal separability,designing and developing novel methods for BSS. In order to process estimation results,cost function such as β-divergence and α-divergence is integrated with NMF2D.Provisions of experiment are convolutive mixed signal is sampled and real recording using under single channel,Time-Frequency (TF) domain is computed by using Short Time Fourier Transform (STFT) respectively.Performance evaluation is done in term of Signal-to-Distortion Ratio (SDR). Theoretically,β and α is parameters that used to vary the NMF2D algorithm in order to yield high SDR value. Experimentally,for the simulation results,the highest SDR value for β-divergence NMF2D is SDR = 16.69dB at β = 0.8 and n = 100.For α-divergence NMF2D,the highest SDR value is SDR = 17.85dB at α = 1.5 and n = 100.Additional of sparseness constraints toward β-divergence NMF2D and α-divergence NMF2D lead to even higher SDR value.There are SDR = 17.06dB for sparse β-divergence NMF2D at λ = 2.5 and SDR = 17.99dB for sparse α-divergence NMF2D at λ = 5. This represents sparseness constraints yield to decrease ambiguity and provide uniqueness to the model.In comparison in between β-divergence,α-divergence,sparse β-divergence and sparse α-divergence NMF2D,it found that SDR value of sparse α-divergence NMF2D is the best decomposition method among all divergences.This can be concluded that sparse α-divergence NMF2D is more applicable in separating real data recording. 2018 Thesis http://eprints.utem.edu.my/id/eprint/23290/ http://eprints.utem.edu.my/id/eprint/23290/1/Blind%20Source%20Separation%20Using%20Two-Dimensional%20Nonnegative%20Matrix%20Factorization%20In%20Biomedical%20Field.pdf text en public http://eprints.utem.edu.my/id/eprint/23290/2/Blind%20Source%20Separation%20Using%20Two-Dimensional%20Nonnegative%20Matrix%20Factorization%20In%20Biomedical%20Field.pdf text en validuser https://plh.utem.edu.my/cgi-bin/koha/opac-detail.pl?biblionumber=112733 mphil masters UTeM Faculty Of Electronic And Computer Engineering Darsono, Abd Majid 1. Ainhoren, Y., Engelberg, S. and Friedman, S., 2008. The Cocktail Party Problem. IEEE Instrumentation & Measurement Magazine, 11(3), pp.44–48. 2. Babaee, M., Yu, X., Rigoll, G. and Datcu, M., 2016. Immersive Interactive SAR Image Representation Using Nonnegative Matrix Factorization. IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 9(7), pp.2844–2853. 3. Buciu, I., Nikolaidis, N. and Pitas, I., 2008. Nonnegative Matrix Factorization in Polynomial Feature Space. IEEE Transactions on Neural Networks, 19(6), pp.1090–100. 4. Carobbi, C.F.M., 2017. Bayesian Inference in Action in EMC — Fundamentals and Applications. IEEE Transactions on Electromagnetic Compatibility, 59(4), pp.1114–1124. 5. Charleston-Villalobos, S., Dominguez-Robert, L.F., González-Camarena, R. and Aljama-Corrales, A.T., 2006. Heart Sounds Interference Cancellation in Lung Sounds. In: 28th IEEE EMBS Annual International Conference. New York City, U. S. A., 30 August - 3 September 2006. IEEE. 6. Cherry, E.C., 1953. Some Experiments on the Recognition of Speech, with One and with Two Ears. The Journal of the Acoustical Society of America, 25(5), p.975. 7. Cichocki, A. and Amari, S., 2002. Adaptive Blind Signal and Image Processing, New York: John Wiley & Sons. 8. Cichocki, A., Cruces, S. and Amari, S. ichi, 2011. Generalized Alpha-Beta Divergences and Their Application to Robust Nonnegative Matrix Factorization. Entropy, 13(1), pp.134–170. 9. Cichocki, A., Zdunek, R. and Amari, S., 2006. New Algorithms for Non-Negative Matrix Factorization in Applications to Blind Source Separation. In: IEEE International Conference on Acoustics Speed and Signal Processing Proceedings. Toulouse, France, 14 – 19 May 2006. IEEE. 10. Comon, P. and Jutten, C., 2010. Handbook of Blind Source Separation Independent Component Analysis and Applications, U. S. A.: Elsevier. 11. Cortés, S., Jané, R., Torres, A., Antonio Fiz, J., and Morera, J., 2006. Detection and Adaptive Cancellation of Heart Sound Interference in Tracheal Sounds. In: 28th IEEE EMBS Annual International Conference. New York City, U. S. A., 30 August - 3 September 2006. IEEE. 12. Darsono, A.M., Haron, N.Z., Jaafar, A.S. and Ahmad, M.I., 2013. β-Divergence Two-Dimensional Sparse Nonnegative Matrix Factorization for Audio Source Separation. In: IEEE Conference on Wireless Sensor (ICWISE). Kuching, Sarawak, 2 - 4 December 2013. IEEE. 13. Deriche, M. and Tewfik, A.H., 1993. Maximum Likelihood Estimation of the Parameters of Discrete Fractionally Differenced Gaussian Noise Process. IEEE Transactions on Signal Processing, 41(10), pp.2977–2989. 14. Du, J., Tu, Y., Dai, L.-R. and Lee, C.-H., 2016. A Regression Approach to Single-Channel Speech Neural Networks. IEEE/ACM Transactions on Audio Speech and Language Processing, 24(8), pp.1424–1437. 15. Emmanouilidou, D. and Elhilal, M., 2013. Characterization of Noise Contaminations in Lung Sound Recordings. In: Engineering in Medicine and Biology Society (EMBS). Osaka, Japan, 3 - 7 July 2013. IEEE. 16. Fan, H., Hung, J., Lu, X., Wang, S. and Tsao, Y., 2014. Speech Enhancement using Segmental Nonnegative Matrix Factorization. In: IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). Italy, 4 - 9 May 2014. IEEE. 17. Ferdowsi, S., Abolghasemi, V. and Sanei, S., 2011. A Comparative Study of α-Divergence based NMF Techniques for FMRI Analysis. In: European Signal Processing Conference (EUSIPCO). Barcelona, Spain, 29 August - 2 September 2011. IEEE. 18. Févotte, C. and Cemgil, A.T., 2009. Nonnegative Matrix Factorisations as Probabilistic Inference in Composite Models. In: 17th European Signal Processing Conference (EUSIPCO). Glasgow, Scotland, 24 - 28 August 2009. IEEE. 19. Fevotte, C. and Godsill, S.J., 2006. A Bayesian Approach for Blind Separation of Sparse Sources. IEEE Transactions on Audio, Speech, and Language Processing, 14(6), pp.2174–2188. 20. FitzGeraldt, D., Cranitch, M. and Coyle, E., 2009. On the use of the Beta Divergence for Musical Source Separation. In: IET Irish Signals and Systems Conference (ISSC). Dublin, Ireland, 10 - 11 June 2009. IEEE. 21. Gannot, S., Vincent, E., Markovich-golan, S. and Ozerov, A., 2017. A Consolidated Perspective on Multimicrophone Speech Enhancement and Source Separation. IEEE/ACM Transactions on Audio, Speech, and Language Processing, 25(4), pp.692–730. 22. Gao, B., Woo, W.L. and Dlay, S.S., 2013. Unsupervised Single-Channel Separation of Nonstationary Signals using Gammatone Filterbank and Itakura–Saito Nonnegative Matrix Two-Dimensional Factorizations. IEEE Transactions on Circuits and Systems, 60(3), pp.662–675. 23. Gao, B., Woo, W.L. and Dlay, S.S., 2012. Variational Regularized 2-D Nonnegative Matrix Factorization. IEEE Transactions on Neural Networks and Learning Systems, 23(5), pp.703–716. 24. Gao, P., Woo, W.L. and Dlay, S.S., 2006. Nonlinear Signal Separation for Multinonlinearity Constrained Mixing Model. IEEE Transactions on Neural Networks, 17(3), pp.796–802. 25. Grais, E.M. and Erdogan, H., 2011. Single Channel Speech Music Separation using Nonnegative Matrix Factorization and Spectral Masks. In: 17th International Conference on Digital Signal Processing (DSP). Corfu, Greece, 6 - 8 July 2011. IEEE. 26. Holobar, A. and Zazula, D., 2007. Multichannel Blind Source Separation using Convolution Kernel Compensation. IEEE Transactions on Signal Processing, 55(9), pp.4487–4496. 27. Hossain, I. and Moussavi, Z., 2002. Relationship Between Airflow and Normal Lung Sounds. In: IEEE Canadian Conference on Electrical and Computer Engineering (CCECE). Manitoba, Canada, 12 - 15 May 2002. IEEE. 28. Hu, G. and Wang, D.L., 2004. Monaural Speech Segregation based on Pitch Tracking and Amplitude Modulation. IEEE Transactions on Neural Networks, 15(5), pp.1135–1150. 29. Huang, S., Hu, C. and Qin, B., 2013. Classification Initialized Hierarchical ALS-Based NMF with Partial Sparseness Constraints for Fluorescence Spectral Unmixing. In: IEEE Nuclear Science Symposium and Medical Imaging Conference (NSS/MIC). Seoul, Korea (South), 27 October - 2 November 2013. IEEE. 30. Jang, G.-J. and Lee, T.-W., 2003. A Maximum Likelihood Approach to Single-channel Source Separation. Journal of Machine Learning Research, 4(7–8), pp.1365–1392. 31. Jao, P., Su, L., Yang, I.Y. and Wohlberg, B., 2016. Monaural Music Source Separation using Convolutional Sparse Coding. IEEE/ACM Transactions on Audio, Speech, and Language Processing, 24(11), pp.2158–2170. 32. Jiang, J. and Zhang, H., 2010. Multiplicative Update for Projective Nonnegative Matrix Factorization with Bregman Divergence. In: 3rd International Symposium on Information Processing (ISIP). Qingdao, China, 12 - 14 November 2010. IEEE. 33. Jolliffe, I.T., 1986. Principal Component Analysis, 2th ed., New York: Springer-Verlag. 34. Kim, M., Yoo, J., Kang, K. and Choi, S., 2010. Blind Rhythmic Source Separation: Nonnegativity And Repeatability. In: IEEE International Conference on Acoustics, Speech and Signal Processing. Texas, U.S.A., 14 – 19 March 2010. IEEE. 35. Kim, S., 2013. The Cocktail Party Effect. American Academy of Neurology, Volume 9(2), pp. 13. 36. Kitamura, D., Ono, N., Sawada, H., Kameoka, H. and Hiroshi Saruwatari, H., 2016. Determined Blind Source Separation Unifying Independent Vector Analysis and Nonnegative Matrix Factorization. IEEE/ACM Transactions on Audio Speech and Language Processing, 24(9), pp.1622–1637. 37. Lauralee, S., 2014. Human Physiology : From Cells To System, 9th ed., New York City: Cengage Learning. 38. Lee, D.D. and Seung, H.S., 1999. Learning The Parts of Objects by Nonnegative Matrix Factorization. Nature, 401(6755), pp.788–791. 39. Lee, S., Park, S.H. and Sung, K.-M., 2012. Beamspace-Domain Multichannel Nonnegative Matrix Factorization for Audio Source Separation. IEEE Signal Processing Letters, 19(1), pp.43–46. 40. Leglaive, S., Badeau, R. and Richard, G., 2016. Multichannel Audio Source Separation with Probabilistic Reverberation Priors. IEEE/ACM Transactions on Audio Speech and Language Processing, 24(12), pp.2453–2465. 41. Li, M., Liu, Y., Chen, F. and Hu, D., 2015. Including Signal Intensity Increases the Performance of Blind Source Separation on Brain Imaging Data. IEEE Transactions on Medical Imaging, 34(2), pp.551–563. 42. Li, P.L.P., Guan, Y.G.Y., Xu, B.X.B. and Liu, W.L.W., 2006. Monaural Speech Separation Based on Computational Auditory Scene Analysis and Objective Quality Assessment of Speech. IEEE Transactions on Audio, Speech, and Language Processing, 14(6), pp.2014–2023. 43. Li, Y., Amari, S., Cichocki, A., Ho, D.W.C. and Xie, S., 2006. Underdetermined Blind Source Separation Based on Sparse Representation. IEEE Transactions on Signal Processing, 54(2), pp.423–437. 44. Li, Y., Ho, K. and Popescu, M., 2014. Efficient Source Separation Algorithms for Acoustic Fall Detection Using a Microsoft Kinect. IEEE Transactions on Bio-Medical Engineering, 61(3), pp.745–755. 45. Li, Y., Lee, C. and Monga, V., 2017. A Maximum a Posteriori Estimation Framework for Robust High Dynamic Range Video Synthesis. IEEE Transactions on Image Processing, 26(3), pp.1143–1157. 46. Limem, A., Delmaire, G., Puigt, M., Roussel, G. and Courcot, D., 2013. Non-negative Matrix Factorization using Weighted Beta Divergence and Equality Constraints for Industrial Source Apportionment. In: IEEE International Workshop on Machine Learning for Signal Processing (MLSP). Southampton, U. K., 22 - 25 September 2013. IEEE. 47. Lin, C.-J., 2007. Projected Gradient Methods for Nonnegative Matrix Factorization. Neural computation, 19(10), pp.2756–2779. 48. Lin, C. and Hasting, E., 2013. Blind Source Separation of Heart and Lung Sounds based on Nonnegative Matrix Factorization. In: International Symposium on Intelligent Signal Processing and Communication Systems. Asahicho Naha-shi, Japan, 12 - 15 November 2013. IEEE. 49. Littmann® Stethoscopes, 3M™, 2018. 3M™ Littmann® Stethoscopes: Heart & Lung Sounds Samples, [online] Available at: http://solutions.3mae.ae/wps/portal/3M/en_AE/3M-Littmann-EMEA/stethoscope/littmann-learning-institute/heart-lung-sounds/ [Accessed on 10 May 2016]. 50. Loudon, R.G. and Murphy, R.L.H., 1997. The Lung: Scientific Foundations, Philadelphia: Lippincott Williams & Wilkins. 51. Mathur, N., Asirvadam, V.S. and Dass, S.C., 2016. Visualization of Dengue Incidences using Expectation Maximization ( EM ) Algorithm. In: 6th International Conference on Intelligent and Advanced Systems (ICIAS). Perak, Malaysia, 15 - 17 August 2016. IEEE. 52. McDermott, J.H., 2009. The Cocktail Party Problem. Current biology : CB, 19(22), pp.1024–1027. 53. Mertins, A., 1999. Signal Analysis: Wavelets, Filter Banks, Time-Frequency Transforms And Applications, New York: John Wiley & Sons. 54. Moussavi, Z., Elwali, A., Soltanzadeh, R., MacGregor, C.A. and Lithgow, B., 2015. Breathing sounds characteristics correlate with structural changes of upper airway due to obstructive sleep apnea. In: 37th Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC). Milan, Italy, 25 - 29 August 2015. IEEE. 55. Naik, G.R. and Wang, W., 2014. Blind source separation, New York: Springer Heidelberg. 56. Nugraha, A.A., Liutkus, A. and Vincent, E., 2016. Multichannel Audio Source Separation with Deep Neural Networks. IEEE/ACM Transactions on Audio Speech and Language Processing, 24(9), pp.1652–1664. 57. Omachi, M., Ogawa, T. and Kobayashi, T., 2017. Associative Memory Model-Based Linear Filtering and Its Application to Tandem Connectionist Blind Source Separation. IEEE/ACM Transactions on Audio, Speech, and Language Processing, 25(3), pp.637–650. 58. Ozerov, A. and Fevotte, C., 2010. Multichannel Nonnegative Matrix Factorization in Convolutive Mixtures for Audio Source Separation. IEEE Transactions on Audio, Speech and Language Processing, 18(3), pp.550–563. 59. Park, S., Choi, J.W., Seol, J. and Shim, B., 2017. Expectation-Maximization-based Channel Estimation for Multiuser MIMO Systems. IEEE Transactions on Communications, 6778(1), pp.1–14. 60. Parra, L. and Sajda, P., 2003. Blind Source Separation via Generalized Eigenvalue Decomposition. Journal of Machine Learning Research, 4(7–8), pp.1261–1269. 61. Pasterkamp, H., Kraman, S.S. and Wodicka, G.R., 1997. Respiratory sounds: Advances beyond the stethoscope. American Journal of Respiratory and Critical Care Medicine, 156(3), pp.974–987. 62. Pedersen, M.S., Wang, D., Larsen, J. and Member, S., 2008. Two-Microphone Separation of Speech Mixtures. IEEE Transactions on Neural Networks, 19(3), pp.475–492. 63. Pooja, S., Dr.Vivek, M. and Joonki, P., 2016. Space Invariant Deconvolution Using Maximum A Posteriori ( MAP ) Estimation for Imaging Inverse Problem. In: International Conference on Electronics, Information, and Communications (ICEIC). Danang, Vietnam, 27 - 30 January 2016. IEEE. 64. Radfar, M.H. and Dansereau, R.M., 2007. Single Channel Speech Separation using Soft Mask Filtering. IEEE Transactions on Audio, Speech, and Language Processing, 15(8), pp.1–12. 65. Ramirez, M.A., 2014. Nonnegative Factorization of Sequences of Speech and Music Spectra. In: International Telecommunications Symposium (ITS). São Paulo, Brazil, 17 - 20 August 2014. IEEE. 66. Ravichandar, H.C. and Dani, A.P., 2017. Human Intention Inference using with Online Model Learning. IEEE Transactions on Automation Science and Engineering, 14(2), pp.1–14. 67. Schmidt, M.N. and Mørup, M., 2006. Nonnegative Matrix Factor 2-D Deconvolution for Blind Single Channel Source Separation. In: International Conference on Independent Component Analysis and Signal Separation. Charleston, USA, 5 - 8 March 2006. IEEE. 68. Shiga, M. and Mamitsuka, H., 2015. Non-negative matrix factorization with auxiliary information on overlapping groups. IEEE Transactions on Knowledge and Data Engineering, 27(6), pp.1615–1628. 69. Silva, R.F., Plis, S.M., Sui, J., Pattichis, M.S., Adal, T. and Calhoun, V.D., 2016. Blind Source Separation for Unimodal and Multimodal Brain Networks: A Unifying Framework for Subspace Modeling. IEEE Journal on Selected Topics in Signal Processing, 10(7), pp.1134–1149. 70. Sparacino, G., Tombolato, C. and Cobelli, C., 2000. Maximum-Likelihood Versus Maximum A Posteriori Parameter Estimation of Physiological System Models: The C-Peptide Impulse Response Case Study. IEEE Transactions on Bio-Medical Engineering, 47(6), pp.801–11. 71. Sui, L., Huang, J., Yang, Y., Zhang, X. and Zhao, G., 2012. Speech Enhancement based on Sparse Nonnegative Matrix Factorization with Priors. In: International Conference on Systems and Informatics (ICSAI). Shandong, China, 19 - 20 May 2012. IEEE. 72. Sun, D.L. and Févotte, C., 2014. Alternating Direction Method of Multipliers for Non-Negative Matrix Factorization with the Beta-Divergence. In: IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). Italy, 4 - 9 May 2014. IEEE. 73. Tengtrairat, N., Gao, B., Woo, W.L. and Dlay, S.S., 2013. Single-Channel Blind Separation Using Pseudo-Stereo Mixture and Complex 2-D Histogram. IEEE Transactions on Neural Networks and Learning Systems, 24(11), pp.1722–1735. 74. Tengtrairat, N., Woo, W.L., Dlay, S.S. and Gao, B., 2016. Online Noisy Single-Channel Source Separation using Adaptive Spectrum Amplitude Estimator and Masking. IEEE Transactions on Signal Processing, 64(7), pp.1881–1895. 75. Tjoa, S.K. and Liu, K.J.R., 2010. Multiplicative Update Rules for Nonnegative Matrix Factorization with Co-Occurrence Constraints. In: IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings (ICASSP). Texas, U.S.A., 14 – 19 March 2010. IEEE. 76. Vaglio-Gaudard, C., Stoll, K., Ravaux, S., Lemaire, M., Colombier, A. C., Hudelot, J. P., Bernard, D., Amharrak, H., Di Salvo, J. and Gruel, A., 2014. Monte Carlo Interpretation of the Photon Heating Measurements in the Integral AMMON/REF Experiment in the EOLE Facility. IEEE Transactions on Nuclear Science, 61(1), pp.574–583. 77. Vincent, E., Gribonval, R. and Févotte, C., 2006. Performance Measurement in Blind Audio Source Separation. IEEE Transactions on Audio, Speech and Language Processing, 14(4), pp.1462–1469. 78. Wang, D. and Brown, G.J., 2008. Computational Auditory Scene Analysis: Principles, Algorithms, and Applications. IEEE Transactions on Neural Networks, 19(1), pp.9227–9227. 79. Wang, Q., Woo, W.L. and Dlay, S.S., 2014. Informed Single-Channel Speech Separation Using HMM–GMM User-Generated Exemplar Source. IEEE Trans on Audio, Speech, and Language Processing, 22(12), pp.2087–2100. 80. Wang, W., Cichocki, A. and Chambers, J.A., 2009. A Multiplicative Algorithm for Convolutive Non-Negative Matrix Factorization Based on Squared Euclidean Distance. IEEE Transactions on Signal Processing, 57(7), pp.2858–2864. 81. Weninger, F., Lehmann, A. and Schuller, B., 2011. OPENBLISSART: Design and Evaluation of a Research Toolkit for Blind Source Separation in Audio Recognition Tasks. In: German Research. Prague, Czech Republic, 22 - 27 May 2011. IEEE. 82. Woo, W.L. and Dlay, S.S., 2005. Neural Network Approach to Blind Signal Separation of Mono-Nonlinearly Mixed Sources. IEEE Transactions on Circuits and Systems, 52(6), pp.1236–1247. 83. Wu, C., Liu, Z., Wang, X., Jiang, W. and Ru, X., 2016. Single-Channel Blind Source Separation of Co-Frequency Overlapped GMSK Signals under Constant-Modulus Constraints. IEEE Communications Letters, 20(3), pp.486–489. 84. Wu, D., Woo, W.L. and Dlay, S.S., 2015. NMF2D-based Source Separation using Extreme Learning Machine. In: 2nd IET International Conference on Intelligent Signal Processing (ISP). London, U. K., 1 - 2 December 2015. IEEE. 85. Xiang, Y., Ng, S.K. and Nguyen, V.K., 2010. Blind Separation of Mutually Correlated Sources using Precoders. IEEE Transactions on Neural Networks, 21(1), pp.82–90. 86. Xu, B., Wang, H., Zhang, Y. and Fang, W., 2016. Blind Source Separation using Analysis Sparse Constraint. Electronics Letters, 52(13), pp.1112–1114. 87. Xu, G. and Wu, J., 2008. A Removal of Power Line Interference in Signal based on Improved Nonnegative Matrix Factorization. In: International Conference on Computer Science and Information Technology (ICCSIT). Singapore, 29 August - 2 September 2008. IEEE. 88. Yang, Z., Zhang, Y., Yan, W., Xiang, Y.and Xie, S., 2016. A Fast Non-Smooth Nonnegative Matrix Factorization for Learning Sparse Representation. (IEEE) Access, 4(1), pp.5161--5168. 89. Ye, Z., Wenquan, Z., Guojin, W. and Yong, F., 2009. Blind separation of convolutive mixed source signals by using robust nonnegative matrix factorization. In: 5th International Conference on Natural Computation (ICNC). Tianjian, China, 14 - 16 August 2009. IEEE. 90. Yin, F., Mei, T. and Wang, J., 2007. Blind-Source Separation based on Decorrelation and Nonstationarity. IEEE Transactions on Circuits and Systems, 54(5), pp.1150–1158. 91. Yoo, J., Kim, M., Kang, K. and Choi, S., 2010. Nonnegative Matrix Partial Co-Factorization for Drum Source Separation. In: IEEE International Conference on Acoustics, Speech and Signal Processing. Texas, U.S.A., 14 - 19 March 2010. IEEE. 92. Yu, X., Hu, D. and Jindong, X., 2014. Blind Source Separation Theory and Applications, Beijing: Science Press. 93. Yuan, Y., Fu, M. and Lu, X., 2015. Substance Dependence Constrained Sparse NMF for Hyperspectral Unmixing. IEEE Transactions on Geoscience and Remote Sensing, 53(6), pp.2975–2986. 94. Zdunek, R., 2012. Trust-Region Algorithm for Nonnegative Matrix Factorization with Alpha-and Beta-divergences. In: Pattern Recognition. Graz, Austria, 28 - 31 August 2012. IEEE. 95. Zhang, H., Hu, S., Zhang, X. and Luo, L., 2015. Visual tracking via constrained incremental non-negative matrix factorization. IEEE Signal Processing Letters, 22(9), pp.1350–1353. 96. Zhang, J., Woo, W.L. and Dlay, S.S., 2007a. Blind Source Separation of Postnonlinear Convolutive Mixture. IEEE Transactions on Audio, Speech and Language Processing, 15(8), pp.2311–2330. 97. Zhang, J., Woo, W.L. and Dlay, S.S., 2007b. Expectation–Maximisation Approach to Blind Source Separation of Nonlinear Convolutive Mixture. IET Signal Process, 1(2), pp.51–65. 98. Zhang, M., 2009. Blind Source Separation using Generalized Singular Value Decomposition. In: Information Science and Engineering (ICISE). Nanjing, China, 26 - 28 December 2009. IEEE. 99. Zhou, B. and Liu, Z., 2015. Method of Multi-resolution and Effective Singular Value Decomposition in Under-determined Blind Source Separation and Its Application to the Fault Diagnosis of Roller Bearing. In: 11th International Conference on Computational Intelligence and Security (CIS). Shenzhen, China, 19 - 20 December 2015. IEEE. 100. Zhu, X.X. and Bamler, R., 2010. Tomographic SAR Inversion by L1-Norm Regularization—The Compressive Sensing Approach. IEEE Transactions on Geoscience and Remote Sensing, 48(10), pp.3839–3846.