One or Two Frequencies? The Empirical Mode Decomposition Answers

Authors:
G. Rilling;P. Flandrin
Affiliations:
-;-
Venue:
IEEE Transactions on Signal Processing
Year:
2008

Citing 0
Cited 20

On a chirplet transform-based method applied to separating and counting wolf howls

Signal Processing
Improved EMD using doubly-iterative sifting and high order spline interpolation

EURASIP Journal on Advances in Signal Processing
Hilbert-huang transform based time-frequency distribution and comparisons with other three

IMACS'08 Proceedings of the 7th WSEAS International Conference on Instrumentation, Measurement, Circuits and Systems
Fast communication: Improvement of empirical mode decomposition under low sampling rate

Signal Processing
Development of EMD-based denoising methods inspired by wavelet thresholding

IEEE Transactions on Signal Processing
An alternative envelope approach for empirical mode decomposition

Digital Signal Processing
Techniques to obtain good resolution and concentrated time-frequency distributions: a review

EURASIP Journal on Advances in Signal Processing
Covert communications using empirical mode decomposition

SARNOFF'09 Proceedings of the 32nd international conference on Sarnoff symposium
An oblique-extrema-based approach for empirical mode decomposition

Digital Signal Processing
An effective method on reducing measurement noise based on Hilbert-Huang transform

CISST'10 Proceedings of the 4th WSEAS international conference on Circuits, systems, signal and telecommunications
Null space pursuit: an operator-based approach to adaptive signal separation

IEEE Transactions on Signal Processing
Comparative study of noise reduction in ultrasonic inspection system

WSEAS Transactions on Circuits and Systems
On the separation of heart sound components using a translated empirical mode decomposition

Proceedings of the 4th International Symposium on Applied Sciences in Biomedical and Communication Technologies
On analysis of bi-dimensional component decomposition via BEMD

Pattern Recognition
A novel optimization based method for separation of periodic signals

Digital Signal Processing
A formal study of the nonlinearity and consistency of the Empirical Mode Decomposition

Signal Processing
An optimization based empirical mode decomposition scheme

Journal of Computational and Applied Mathematics
The Synchrosqueezing algorithm for time-varying spectral analysis: Robustness properties and new paleoclimate applications

Signal Processing
The role of functional data analysis for instantaneous frequency estimation

Computational Statistics
Low-complexity sinusoidal-assisted EMD (SAEMD) algorithms for solving mode-mixing problems in HHT

Digital Signal Processing

Quantified Score

Hi-index	35.69

Visualization

Abstract

This paper investigates how the empirical mode decomposition (EMD), a fully data-driven technique recently introduced for decomposing any oscillatory waveform into zero-mean components, behaves in the case of a composite two-tones signal. Essentially two regimes are shown to exist, depending on whether the amplitude ratio of the tones is greater or smaller than unity, and the corresponding resolution properties of the EMD turn out to be in good agreement with intuition and physical interpretation. A refined analysis is provided for quantifying the observed behaviors and theoretical claims are supported by numerical experiments. The analysis is then extended to a nonlinear model where the same two regimes are shown to exist and the resolution properties of the EMD are assessed.