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Hilbert—Huang变换在谱分析中的应用 被引量:2

Spectrum Analysis of Application with Hilbert-Huang Transform
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摘要 本文对Hilbert—Huang变换(Hilbert-Huang Transform)理论做了仿真研究,并通过仿真实验对非平稳信号作经验模式分解(Empirical Mode Decomposition),得到它的固有模态函数(Intrinsic Mode Function)分量;对各个分量作Hilbert变换,得到瞬时频率,并构造希尔伯特谱-时间-频率的时频分布图。通过与短时傅立叶变换(Short Time Fourier Transform)、小波变换(Wavelet Tramform的分析比较,Hilbert—Huang变换方法更能反应原始数据的固有特性,有更好的时频聚集性,更适用于对突变信号和非平稳信号的处理。 Simulation of Hilbert-Huang transform is researched in this paper, Simulation experiment has proved that the non-stationary signal is decomposed according to their intrinsic characteristic scales into a number of intrinsic mode function components by using empirical mode decomposition method. Instantaneous frequency and amplitude spectrum-time-frequency distribution are achieved by Hilbert transform to intrinsic mode function components. Finally Hilbert-Huang transform has a more intrinsic characteristic of the original data, and better congregativeness in time-frequency, more excellent process in mutational and non-stationary signal by having compared with short time Fourier transform and wavelet transform
作者 魏兰英 李明 顾学康 徐春 WEI Lan-ying, LIMing, GU Xue-kang, XU Chun (1.East China Normal University, Shanghai 200062, China; 2.China Ship Scientific Research Center, Wuxi 214082, China)
出处 《电脑知识与技术》 2007年第4期142-142,153,共2页 Computer Knowledge and Technology
基金 国家自然科学基金(60573125)
关键词 Hilbert—Huang变换 经验模式分解 固有模态函数 谱分析 Hilbert-Huang Transform Empirical Mode Decomposition Intrinsic Mode Function Spectrum Analysis
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