A Variance Distribution Model of Surface EMG Signals Based on Inverse Gamma Distribution

Hideaki Hayashi, Akira Furui, Yuichi Kurita, Toshio Tsuji

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)


Objective: This paper describes the formulation of a surface electromyogram (EMG) model capable of representing the variance distribution of EMG signals. Methods: In the model, EMG signals are handled based on a Gaussian white noise process with a mean of zero for each variance value. EMG signal variance is taken as a random variable that follows inverse gamma distribution, allowing the representation of noise superimposed onto this variance. Variance distribution estimation based on marginal likelihood maximization is also outlined in this paper. The procedure can be approximated using rectified and smoothed EMG signals, thereby allowing the determination of distribution parameters in real time at low computational cost. Results: A simulation experiment was performed to evaluate the accuracy of distribution estimation using artificially generated EMG signals, with results demonstrating that the proposed model's accuracy is higher than that of maximum-likelihood-based estimation. Analysis of variance distribution using real EMG data also suggested a relationship between variance distribution and signal-dependent noise. Conclusion: The study reported here was conducted to examine the performance of a proposed surface EMG model capable of representing variance distribution and a related distribution parameter estimation method. Experiments using artificial and real EMG data demonstrated the validity of the model. Significance: Variance distribution estimated using the proposed model exhibits potential in the estimation of muscle force.

Original languageEnglish
Article number7833142
Pages (from-to)2672-2681
Number of pages10
JournalIEEE Transactions on Biomedical Engineering
Issue number11
Publication statusPublished - Nov 2017

All Science Journal Classification (ASJC) codes

  • Biomedical Engineering


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