Journal of Modeling in Engineering

Journal of Modeling in Engineering

Estimation of Noise Variance Using the Weighted EMD Coefficients of the Noisy Signal

Document Type : Research Paper

Authors
Electrical Engineering Department, Yazd University, Yazd, Iran
Abstract
This paper proposes a noise variance estimation method using the Empirical Mode Decomposition (EMD) of signals and the characteristics of the decomposed layers.The main idea is based on the fact that the layers obtained from the EMD decomposition of the noisy signal will contain several layers with some pure signal components, several layers in the form of pure noise, and layers in the form of a combination of signal and noise. According to the definition of signal and noise in this study, the highest signal power is in the final layers, and the highest noise power is in the initial layers of the decomposition. Based on this principle, the noise variance was estimated by calculating the noise energy and the correlation of the noise with different sub-signals from each layer. Based on the simulation results, it is observed that the proposed method in estimating the noise variance has an error reduction of about 1.5, 3, 5 and 1.7 percent, respectively, compared to the Maciej, Elvander, Cai and Wang methods.
Keywords
Subjects

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Volume 24, Issue 85
In Progress
Summer 2026
Pages 137-152

  • Receive Date 08 June 2024
  • Revise Date 27 July 2025
  • Accept Date 18 August 2025