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Reconstruction of Signal using Interpolation01:10

Reconstruction of Signal using Interpolation

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Signal processing techniques are essential for accurately converting continuous signals to digital formats and vice versa. When a continuous signal is sampled with a period T, the resulting sampled signal exhibits replicas of the original spectrum in the frequency domain, spaced at intervals equal to the sampling frequency. To handle this sampled signal, a zero-order hold method can be applied, which creates a piecewise constant signal by retaining each sample's value until the next...
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A three-dimensional adaptive rational interpolation algorithm for removing TMS-EEG pulse artifacts.

Hui Xiong1,2, Yajun Di1,2, Jinzhen Liu1,2

  • 1The School of Control Science and Engineering, Tiangong University, Tianjin 300387, People's Republic of China.

Physiological Measurement
|October 18, 2023
PubMed
Summary

A new 3D adaptive algorithm effectively removes pulse artifacts in Transcranial Magnetic Stimulation combined with Electroencephalography (TMS-EEG) recordings. This method significantly improves signal quality and reduces processing time for brain research.

Keywords:
adaptive algorithmelectroencephalogrampulse artifactrational hermite interpolationtranscranial magnetic stimulation

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Area of Science:

  • Neuroscience
  • Biomedical Engineering
  • Signal Processing

Background:

  • Transcranial Magnetic Stimulation combined with Electroencephalography (TMS-EEG) is crucial for studying brain region reactivity and connectivity.
  • Pulse artifacts generated by TMS electromagnetic pulses significantly contaminate EEG signals, hindering accurate analysis.
  • Efficient and rapid artifact removal is essential for advancing TMS-EEG applications.

Purpose of the Study:

  • To develop and validate a novel algorithm for the efficient and fast removal of pulse artifacts in TMS-EEG.
  • To address the limitations of existing artifact removal techniques in terms of speed and effectiveness.

Main Methods:

  • A three-dimensional adaptive rational quadratic Hermite interpolation algorithm is proposed.
  • Signal recombination creates a 3D signal matrix, with artifact windows identified using a derivative threshold.
  • The identified windows are interpolated using the adaptive rational quartic Hermite interpolation algorithm.

Main Results:

  • The proposed algorithm demonstrated significant improvements in Signal-to-Noise Ratio (SNR), ranging from 23.88% to 47.60%.
  • Root Mean Square Error (RMSE) was reduced by 46.52% to 81.11%, and Mean Absolute Error (MAE) by 47.83% to 58.33%.
  • Time consumption was reduced by 45.90% compared to piecewise cubic Hermite interpolation, indicating enhanced efficiency.

Conclusions:

  • The proposed 3D adaptive algorithm effectively and rapidly removes TMS-EEG pulse artifacts.
  • This method offers superior performance in artifact reduction and processing speed compared to traditional methods.
  • The algorithm facilitates more reliable and efficient analysis of brain activity using TMS-EEG.