# A study of the characteristics of white noise using the empirical mode decomposition method

@article{Wu2004ASO, title={A study of the characteristics of white noise using the empirical mode decomposition method}, author={Zhaohua Wu and Norden E. Huang}, journal={Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences}, year={2004}, volume={460}, pages={1597 - 1611} }

Based on numerical experiments on white noise using the empirical mode decomposition (EMD) method, we find empirically that the EMD is effectively a dyadic filter, the intrinsic mode function (IMF) components are all normally distributed, and the Fourier spectra of the IMF components are all identical and cover the same area on a semi–logarithmic period scale. Expanding from these empirical findings, we further deduce that the product of the energy density of IMF and its corresponding averaged…

## 1,547 Citations

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- Computer Science2014 22nd European Signal Processing Conference (EUSIPCO)
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The slope of the scaling exponent is used as the threshold for EMD based denoising and IMFs with lower slope than the threshold are assumed to be noisy oscillations and excluded in the reconstruction step.

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Experimental results prove the applicability of EMD-HOS, which outperforms similar denoising techniques based on Wavelets for the most types of test signals.

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The effect of the added white noise is to provide a uniform reference frame in the time–frequency space; therefore, the added noise collates the portion of the signal of comparable scale in one IMF.

### Noise filtering using Empirical Mode Decomposition

- Engineering2007 9th International Symposium on Signal Processing and Its Applications
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In this paper a noise filtering method using the empirical mode decomposition (EMD) is proposed and a new criterion is proposed to determine the IMF after which the energy distribution of the important structures of the signal overcomes that of the noise and the high frequency components of the signals.

### A De-noising Scheme Based on the Null Hypothesis of Intrinsic Mode Functions

- EngineeringIEEE Signal Processing Letters
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The statistical properties of IMFs, produced by a range of signal distributions, are examined and the efficacy of the proposed method as compared to other EMD-based de-noising techniques is demonstrated.

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This dissertation involves investigating statistical properties of EMD and utilizing the outcome to enhance the performance of signal de-noising and spectrum sensing systems and include comparison with other state of art techniques.

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This paper conjecture that, as the (pre-assigned and fixed) sifting number is changed from a small number to infinity, the EMD corresponds to filter banks with a filtering ratio that changes accordingly from 2 (dyadic) to 1; the filter window does not narrow accordingly, asThe siftingNumber increases.

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A stringent threshold by which relevant IMFs are distinguished from IMFs that may have been generated by numerical errors is established, dependent on the correlation coefficient between the IMFs and the original signal.

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This paper proposes an alternative algorithm for EMD based on iterating certain filters, such as Toeplitz filters, which yields similar results as the more traditional sifting algorithm, and can be rigorously proved.

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This paper proposes a strategy for suppressing noise via empirical mode decomposition (EMD)-based hierarchical multiresolution analysis that can extract information from more than one level of decomposition to reconstruct the denoised signal compared to only one level in the conventional EMD-based denoising method.

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