一种基于多层迭代奇异谱分析的信号分解方法

doi:10.16182/j.issn1004731x.joss.20-0267

系统仿真学报 ›› 2021, Vol. 33 ›› Issue (8): 1818-1824.doi: 10.16182/j.issn1004731x.joss.20-0267

一种基于多层迭代奇异谱分析的信号分解方法

魏玉淼¹, 张志利¹, 李洪光², 李述清²

1.火箭军工程大学,陕西西安 710025;
2.中国人民解放军96744部队,陕西汉中 723000

收稿日期:2020-05-21 修回日期:2020-06-29 发布日期:2021-08-19
作者简介:魏玉淼(1988-),男,博士,讲师,研究方向为MEMS系统测试与仿真。E-mail: 824035931@qq.com
基金资助:
陕西省自然科学基础研究计划青年人才项目(S2019-JC-QN-2408)

A Signal Decomposition Method Based on Multi-Layer Iteration Structured Singular Spectrum Analysis

Wei Yumiao¹, Zhang Zhili¹, Li Hongguang², Li Shuqing²

1. Rocket Force University of Engineering, Xi'an 710025, China;
2. Unit 92786 of the Chinese PLA, Hanzhong 723000, China

Received:2020-05-21 Revised:2020-06-29 Published:2021-08-19

摘要/Abstract

摘要： 针对复杂信号中相邻频率成分的分解问题,研究了一种基于多层迭代结构的奇异谱分析方法。通过频带细分和迭代筛选,对传统的奇异谱分析进行改进,设计出一种具有多层迭代结构的高精度分解算法,解决了原方法自适应分解能力不足、单次分解效果不佳的问题。仿真结果表明,改进方法的信号自适应分解能力得到了有效增强,能够准确地从频差/中心频率为0.2%的多模态振动信号中提取出各分量,且与理论值一致性好,波形失真度小,证明了其有效性。

关键词: 奇异谱分析, 多层迭代, 自适应分解, 多模态振动

Abstract: To process the complex signals with concentrated frequency distribution, an adaptive decomposition method based on singular spectrum analysis with multi-layer iteration structure is researched. The traditional singular spectrum analysis is improved by frequency band subdivision and iterative filtering approach. A high-precision decomposition algorithm base on recursive structure is therefore designed, solving the problems such as insufficient adaptive capability and unsatisfied decomposition. Simulation results show that adaptive decomposition capability of the proposed method is effectively enhanced. For the multi-mode vibration signal with 0.2% ratio of spitting frequency to center frequency, the components are all accurately extracted, and consistent well with the theoretical value.

Key words: singular spectrum analysis, multi-layer iteration, adaptive decomposition, multi-mode vibration

中图分类号:

TM743
TP391

魏玉淼, 张志利, 李洪光, 李述清. 一种基于多层迭代奇异谱分析的信号分解方法[J]. 系统仿真学报, 2021, 33(8): 1818-1824.

Wei Yumiao, Zhang Zhili, Li Hongguang, Li Shuqing. A Signal Decomposition Method Based on Multi-Layer Iteration Structured Singular Spectrum Analysis[J]. Journal of System Simulation, 2021, 33(8): 1818-1824.

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一种基于多层迭代奇异谱分析的信号分解方法

A Signal Decomposition Method Based on Multi-Layer Iteration Structured Singular Spectrum Analysis

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[1]	赵迪, 徐志胜. 基于多分辨率奇异熵的混凝土缺陷检测[J]. 系统仿真学报, 2017, 29(4): 761-766.
[2]	周国雄, 陈爱斌, 周先雁. 基于奇异谱分析—SVM的木构件缺陷识别[J]. 系统仿真学报, 2016, 28(8): 1863-1869.