A complex mixing matrix estimation algorithm in under-determined blind source separation problems. Issue 2 (February 2017)

• Record Type: Journal Article
• Authors: Li, Yibing; Nie, Wei; Ye, Fang; Wang, Qiuying
• Is Part Of: Signal, image and video processing. Volume 11:Issue 2(2017)
• Page Start: 301
• Page End: 308
• Publication Date: 2017-02
• Subjects: Complex mixing matrix estimation -- Under-determined blind source separation -- Single source points -- Sources -- Sensors; Signal processing -- Digital techniques -- Periodicals; Image processing -- Digital techniques -- Periodicals; Digital video -- Periodicals; 621.3822
• DOI: 10.1007/s11760-016-0937-y
• Languages: English
• ISSNs: 1863-1703

Abstract

Abstract This paper considers the complex mixing matrix estimation in under-determined blind source separation problems. The proposed estimation algorithm is based on single source points contributed by only one source. First, the problem of complex matrix estimation is transformed to that of real matrix estimation to lay the foundation for detecting single source points. Secondly, a detection algorithm is adopted to detect single source points. Then, a potential function clustering method is proposed to process single source points in order to get better performance. Finally, we can get the complex mixing matrix after derivation and calculation. The algorithm can estimate the complex mixing matrix when the number of sources is more than that of sensors, which proves it can solve the problem of under-determined blind source separation. The experimental results validate the efficiency of the proposed algorithm.