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希尔伯特-黄变换×经验模态分解 (EMD)×傅里叶变换与谱分析 (FFT)×
领域信号处理信号处理信号处理
方法族Machine learningMachine learningMachine learning
起源年份199819981965
提出者Norden Huang et al.Norden Huang et al.James Cooley & John Tukey (FFT)
类型Adaptive time-frequency analysis methodAdaptive data-driven decomposition algorithmFrequency-domain decomposition algorithm
开创性文献Huang, N. E., et al. (1998). The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis. Proceedings of the Royal Society A, 454(1971), 903–995. DOI ↗Huang, N. E., et al. (1998). The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis. Proceedings of the Royal Society A, 454(1971), 903–995. DOI ↗Cooley, J. W., & Tukey, J. W. (1965). An algorithm for the machine calculation of complex Fourier series. Mathematics of Computation, 19(90), 297–301. DOI ↗
别名HHT, EMD-Hilbert Spectral Analysis, Hilbert Spektral Analizi, Adaptive Time-Frequency DecompositionEMD, Intrinsic Mode Decomposition, Adaptive Signal Decomposition, Ampirik Mod AyrıştırmaFast Fourier Transform, Discrete Fourier Transform, Spectral Analysis, Fourier Dönüşümü
相关232
摘要The Hilbert-Huang Transform (HHT) is an adaptive, data-driven method for analyzing non-linear and non-stationary time series, introduced by Norden E. Huang and colleagues in 1998. It combines Empirical Mode Decomposition (EMD), which decomposes a signal into intrinsic mode functions (IMFs), with the Hilbert spectral analysis to produce instantaneous frequency and amplitude representations without assuming signal stationarity or linearity.Empirical Mode Decomposition (EMD) is a fully data-driven, adaptive method for decomposing nonlinear and non-stationary time series into a finite set of oscillatory components called Intrinsic Mode Functions (IMFs), plus a monotonic residue. Introduced by Norden E. Huang and colleagues at NASA in 1998, EMD requires no predefined basis functions and derives all components directly from the signal itself, making it fundamentally different from Fourier or wavelet transforms.The Fourier Transform decomposes a time-domain signal into its constituent sinusoidal frequencies, revealing the spectral content hidden within complex waveforms. Joseph Fourier introduced the continuous transform in 1822, but the computationally efficient Fast Fourier Transform (FFT) was formalized by James Cooley and John Tukey in 1965. Their landmark algorithm reduced the computational complexity from O(N²) to O(N log N), making large-scale spectral analysis practical across engineering, physics, and data science.
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ScholarGate方法对比: Hilbert-Huang Transform · Empirical Mode Decomposition · Fourier Transform. 于 2026-06-18 检索自 https://scholargate.app/zh/compare