| 乔列斯基分解应用于偏相干问题的可行性研究 |
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| 引用本文： | 章林柯,江涌,何琳. 乔列斯基分解应用于偏相干问题的可行性研究[J]. 船舶力学, 2011, 15(5): 556-562 |
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| 作者姓名： | 章林柯 江涌 何琳 |
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| 作者单位： | 海军工程大学振动与噪声研究所,武汉,430033;防化研究院,北京,102205 |
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| 基金项目： | 国家自然科学基金资助项目(50775218); 国防预研基金(9140A0050506JB11) |
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| 摘 要： | 在应用传统的偏相干方法进行噪声源识别时,计算条件输入和耦合较为繁琐、复杂。文章首先通过对偏相干和乔列斯基分解的分析,得到两者之间的关系;进一步运用数学归纳法,从理论上证明了乔列斯基分解应用于偏相干问题的可行性;然后指出对归一化互谱矩阵进行乔列斯基分解,可直接得到各源的贡献比大小;最后给出了应用乔列斯基分解解决偏相干问题的一般步骤。舱段试验验证了该方法的可行性和实时性。
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| 关 键 词： | 偏相干 噪声源识别 多输入/输出模型 乔列斯基分解 |
Study on the feasibility of applying Cholesky decomposition to partial coherence |
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| ZHANG Lin-ke,JIANG Yong,HE Lin. Study on the feasibility of applying Cholesky decomposition to partial coherence[J]. Journal of Ship Mechanics, 2011, 15(5): 556-562 |
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| Authors: | ZHANG Lin-ke JIANG Yong HE Lin |
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| Affiliation: | ZHANG Lin-ke 1,JIANG Yong 2,HE Lin 1 (1 Institute of Noise and Vibration,Naval University of Engineering,Wuhan 430033,China,2 Institute of Chemical Defense,Beijing 102205,China) |
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| Abstract: | The computation of conditional inputs and couplings is complicated when using traditional partial coherence methods to identify noise sources. In this paper, a simpler calculating method for engineering practice is presented. Firstly, the relationship between Cholesky decomposition and partial coherence was derived. Secondly, the feasibility of applying Cholesky decomposition to partial coherence calculation problems was validated by mathematical induction method. Then the percentage of each source’s contribution was determined after Cholesky decomposition of the normalized cross-spectral matrix. The process of applying Cholesky decomposition to partial coherence problems was proposed lastly. The feasibility and real time capability of this method was validated by cabin test. |
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| Keywords: | partial coherence noise source identification multiple input/output model Cholesky decomposition |
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