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Fast complexity pursuit algorithm for blind source separation of structural vibration signals
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Zhixiang HU, Lei HUANG, Wenyu HE
Journal of Vibration Engineering | 2025, 38(10) : 2378 - 2386
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Journal of Vibration Engineering | 2025, 38(10): 2378-2386
Fast complexity pursuit algorithm for blind source separation of structural vibration signals
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Zhixiang HU, Lei HUANG, Wenyu HE
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  • College of Civil Engineering, Hefei University of Technology, Hefei 230009, China
doi: 10.16385/j.cnki.issn.1004-4523.202310029
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Blind source separation (BSS) can be used to extract modal coordinate vibrations from structural vibration signals. Complexity pursuit (CP) is one of the classical methods for solving the BSS problem. To improve the computational efficiency of the CP algorithm, this paper proposes two enhancements： it uses the negative log function of a Gaussian distribution as a nonlinear function to estimate signal complexity and derives formulas for rapidly computing signal complexity and its gradient； it employs a subspace search-based gradient descent algorithm to calculate the optimal mixing vector in the reduced subspace. The new formulas only require the covariance matrix of mixed signals and the covariance matrix of time delays when computing complexity and its gradient, without using all signal data. Numerical examples and structural vibration data are employed to evaluate the proposed method. The results demonstrate that the fast complexity pursuit algorithm outperforms traditional methods in terms of computational efficiency and accurately separates structural modal coordinate vibrations.

blind source separation  /  modal parameter identification  /  complexity pursuit  /  gradient descent  /  subspace search
Zhixiang HU, Lei HUANG, Wenyu HE. Fast complexity pursuit algorithm for blind source separation of structural vibration signals[J]. Journal of Vibration Engineering, 2025 , 38 (10) : 2378 -2386 . DOI: 10.16385/j.cnki.issn.1004-4523.202310029
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Year 2025 volume 38 Issue 10
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doi: 10.16385/j.cnki.issn.1004-4523.202310029
  • Receive Date：2023-10-13
  • Online Date：2026-02-04
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  • Received：2023-10-13
  • Revised：2024-02-28
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    College of Civil Engineering, Hefei University of Technology, Hefei 230009, China
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表12种不同金属材料的力学参数
科
Family		 属数
Number of
genus		 种数
Number of
species		 占总种数比例
Percentage of
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Genus		 种数
Number of
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Percentage of total
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鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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