Abstract:The sources extraction from their underdetermined instantaneous mixtures via time- domain is presented in this article. Firstly, an algorithm based on differential kurtosis to separate non-stationary sources with underdetermined case one by one is introduced. Then the rest sources are recovered by using an algorithm based on second-order statistics. The simulation results show that the proposed method can separate sources of super- and sub-Gaussian distribution, and its superior performances to other conventional methods.
王荣杰, 詹宜巨, 周海峰, 杨林举. 一种基于时域的欠定盲源分离方法[J]. 电工技术学报, 2012, 27(10): 98-105.
Wang Rongjie, Zhan Yiju, Zhuo Haifeng, Yang Linju. A Method of Underdetermined Blind Source Extraction via Time-Domain. Transactions of China Electrotechnical Society, 2012, 27(10): 98-105.
[1] Ohnishi N Y, Imiya A. Independent component analysis of optical flow for robot navigation[J]. Neurocomputing, 2008, 71(10-12): 2140-2163. [2] Hallez H, Vos M D, Vanrumste B. Removing muscle and eye artifacts using blind source separation techniques in ictal EEG source imaging[J]. Clinical Neurophysiology, 2009, 120(7): 1262-1272. [3] Nakajima H, Nakadai K K, Hasegawa Y. Blind source separation with parameter-free adaptive step-size method for robot audition[J]. IEEE Transactions on Audio, Speech and Language Processing, 2010, 18(6): 1476-1485. [4] Dimitris G T, Aristidis C L, Nikolaos P G. Variational bayesian sparse kernel-based image deconvolution with student’s-t priors[J]. IEEE Transactions on Image Processing, 2009, 18(4): 753-764. [5] Aysal T C, Barner K E. Blind decentralized estimation for bandwidth constrained wireless sensor networks[J]. IEEE Transactions on Wireless Comunications, 2011, 7(5): 192-202. [6] Lü Q, Zhang X D. A unified method for blind separation of sparse sources with unknown source number[J]. IEEE Signal Processing Letter, 2006, 13(1): 49-51. [7] Yimaz O, Rickard S. Blind separation of speech via time-frequency masking[J]. IEEE Transactions on Signal Processing, 2005, 52(7): 1830-1847. [8] Bofill P, Zibulevsky M. Underdetermined source separation using sparse representation[J]. Signal Processing, 2001, 81(11): 2353-2362. [9] Khor L C. Robust adaptive blind signal estimation algorithm for underdetermined mixture[J]. IEE Proceedings on Circuits, Devices and Systems, 2006, 153(4): 320-331. [10] Snoussi H C, Idier J. Bayesian blind separation of generalized hyperbolic processes in noisy and underdeterminate mixtures[J]. IEEE Transactions on Signal Processing, 2006, 54(9): 3257-3269. [11] Liu W, Danilo P M. A normalized kurtosis-based algorithm for blind source extraction from noisy measurements[J]. Signal Processing, 2006, 86(7): 1580-1585. [12] Cruces-alvarez S A, Cichocki A, Amari S. From blind signal extraction to blind instantaneous signal separation: criteria, algorithm and stability[J]. IEEE Transactions on Neural Network, 2004, 15(4): 859-873. [13] Hyvarinen A, Oja E. A fast fix-point algorithm for independent component analysis[J]. Neural Computation, 1997, 19(7): 1482-1492. [14] Deville Y, Benali M, Abrard F. Differential source separation for underdetermined instantaneous or convolutive mixtures: concept and algorithms[J]. Signal Processing, 2004, 84(10): 1759-1776. [15] Thomas J, Deville Y, Hosseini S. Differential fast fixed-point algorithms for underdetermined instantaneous and convolutive partial blind source separation[J]. IEEE Transactions on Signal Processing, 2007, 55(7): 3717-3729. [16] 史习智. 盲信号处理[M]. 上海: 上海交通大学出版社, 2006. [17] 丁玉美, 阔永红, 高新波. 数字信号处理——时域离散随机信号处理[M]. 西安: 西安电子科技大学出版社, 2002. [18] Ola F, Magnus B, Peter L. Exploratory fMRI analysis by autocorrelation maximization[J]. NeuroImage, 2002, 16(2): 454-464. [19] Wang R J, Zhou H F. Application of SVM in fault diagnosis of power electronics rectifiers[C]. 8th World Congress on Intelligent Control and Automation, 2008: 1256-1260. [20] Zhang H J, Shi Z W, Guo C H. Blind source extraction based on generalized autocorrelations and complexity pursuit[J]. Neurocomputing, 2009, 72(10-12): 2556-2562. [21] Cichocki A. Available: http://www.bsp.brain.riken[OL]. jp/IC- ALAB/ICALABSignalProc/benchmarks.