| 非平稳随机过程五阶累积量计算的简化算法 |
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| 引用本文： | 郭业才,赵俊渭.非平稳随机过程五阶累积量计算的简化算法[J].安徽理工大学学报(自然科学版),2004,24(4):41-47. |
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| 作者姓名： | 郭业才 赵俊渭 |
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| 作者单位： | 安徽理工大学电气工程系,安徽,淮南,232001;西北工业大学声学工程所,陕西,西安,710072;西北工业大学声学工程所,陕西,西安,710072 |
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| 基金项目： | 国家自然科学基金资助项目(60372086)，安徽理工大学博士基金资助项目(2004YB05) |
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| 摘 要： | 四次相位耦合是水下目标辐射噪声非线性的重要特征，五阶累积量正是提取这些特征的必要工具，但五阶累积量计算复杂，难以工程实现。为了解决这一问题，研究了非平稳随机过程五阶累积量递推计算与计算量的关系，提出了五阶累积量计算的简化算法。理论分析与仿真表明：五阶累积量计算的简化算法能大幅度地减小计算量，通过简化计算得到的五阶累积量仍有良好的抑制高斯噪声性能，这为高阶统计量的工程应用提供了一种有效手段。
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| 关 键 词： | 非平稳随机过程 五阶累积量 递推计算 计算量 简化算法 |
| 文章编号： | 1672-1098(2004)04-0041-07 |
| 修稿时间： | 2004年7月12日 |
Simplified Algorithm for Calculating Fifth-Order Cumulants of Nonstationary Random Process |
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| GUO Ye-cai.Simplified Algorithm for Calculating Fifth-Order Cumulants of Nonstationary Random Process[J].Journal of Anhui University of Science and Technology:Natural Science,2004,24(4):41-47. |
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| Authors: | GUO Ye-cai |
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| Institution: | GUO Ye-cai~ |
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| Abstract: | The quartic phase coupling is an important feature of a nonlinear vibration system. It is essential to employ fifth order cumulants (FFOC) for extracting this feature. Due to the high computational complexity of FFOC, it is impossible to apply FFOC to the engineering field. To greatly reduce the computational complexity of FFOC and improve the practicability in the engineering, the relation between FFOC recursive estimate and its computational complexity is studied, and simplified algorithm for calculating FFOC of nonstationary random process is developed. The estimated FFOC via the simplified algorithm has strong ability to suppress Guassian noise and low computational complexity, which is an effective means in the project application of higher-order cumulants. |
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| Keywords: | nonstationary random process fifth-order cumulants(FFOC) recursive estimate computational complexity simplified algorithm |
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