Blind signal separation of underdetermined mixtures based on clustering algorithms on planes
Xie Sheng-li, Beihai Tan, Yuli Fu · Progress in Natural Science Materials International · 2007
Based on clustering method on planes, blind signal separation (BSS) of underdetermined mixtures with three observed signals is discussed. The condition of sufficient sparsity of the source signals is not necessary when clustering method on planes is used. In other words, it needs not that only one source signal plays the main role among others at one time. The proposed method uses normal line d\clustering of planes first. Then, the mixing matrix can be identified via deciding the intersection lines of the planes. This method is an effective implement of the new theory presented by Georgiev. Simulations illustrate accuracy and restoring capability of the method to estimate the mixing matrix. *Supported by National Natural Science Foundation of China(Grant Nos. 60325310, 60674033 and 60505005), the Guangdong Province Science Foundation for Program of Research Team (04205783), the Natural Science Fund of Guangdong Province, China (Grant Nos. 05103533 and 05006508), and the Specialized Prophasic Basic Research Projects of Ministry of Science and Technology, China (Grant 2005CCA04100)