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Improving the power of objective response detection of evoked responses in noise by using average and product of magnitude-squared coherence of two different signals

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Abstract

Objective response detection (ORD) techniques such as the magnitude-squared coherence (MSC) are mathematical methods tailored to detect potentials evoked by an external periodic stimulation. The performance of the MSC is directly proportional to the signal-to-noise ratio (SNR) of the recorded signal and the time spent for collecting data. An alternative to increasing the performance of detection techniques without increasing data recording time is to use the information from more than one signal simultaneously. In this context, this work proposes two new detection techniques based on the average and on the product of MSCs of two different signals. The critical values and detection probabilities were obtained theoretically and using a Monte Carlo simulation. The performances of the new detectors were evaluated using synthetic data and electroencephalogram (EEG) signals during photo and auditory stimulation. For the synthetic signals, the two proposed detectors exhibited a higher detection rate when compared to the rate of the traditional MSC technique. When applied to EEG signals, these detectors resulted in an increase of the mean detection rate in relation to MSC for visual and auditory stimulation of at least 25% and 13.21%, respectively. The proposed detectors may be considered as promising tools for clinical applications.

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Acknowledgments

This study was financed in part by the Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - Brazil (CAPES) - Finance Code 001, CNPq, FAPEMIG, and FAPERJ.

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FAPEMIG, FAPERJ, CNPq, CAPES.

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Authors and Affiliations

  1. Graduate Program in Electrical Engineering, Federal University of Minas Gerais, Belo Horizonte, MG, CEP 31270-901, Brazil

    Tiago Zanotelli & Eduardo Mazoni Andrade Marçal Mendes

  2. Department of Electrical Engineering, Federal Institute of Espírito Santo, São Mateus, ES, CEP 29932-540, Brazil

    Tiago Zanotelli

  3. Department of Electrical Engineering, Federal University of Viçosa, Viçosa, MG, CEP 36570-900, Brazil

    Tiago Zanotelli & Leonardo Bonato Felix

  4. Biomedical Engineering Program/COPPE, Federal University of Rio de Janeiro, P.O. Box 68510, Rio de Janeiro, CEP 21941-972, Brazil

    Antonio Mauricio Ferreira Leite Miranda de Sá

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  1. Tiago Zanotelli
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Corresponding author

Correspondence to Tiago Zanotelli.

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The local Ethics Committees IFF-FIOCRUZ/MS and CEP/UFV(1.616.098) approved this research, and all volunteers gave written informed consent to participate.

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Glossary

κ A(f)

Average coherence

ASSR

Auditory steady-state response

CSM

Component synchrony measure

DR

Detection rate

EEG

Electroencephalogram

EP

Evoked potential

FP

False positives

H 0

Null hypothesis

MORD

Multivariate objective response detectors

MSC

Magnitude-squared coherence

NDR

Number of detected responses

NT

Number of tests

ORD

Objective response detection

PDF

Probability density function

PD

Probability of detecting

κ P(f)

Product coherence

SNR

Signal-to-noise

SFT

Spectral F-test (SFT)

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Zanotelli, T., Leite Miranda de Sá, A.M.F., Mendes, E.M.A.M. et al. Improving the power of objective response detection of evoked responses in noise by using average and product of magnitude-squared coherence of two different signals. Med Biol Eng Comput 57, 2203–2214 (2019). https://doi.org/10.1007/s11517-019-02020-y

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  • DOI: https://doi.org/10.1007/s11517-019-02020-y

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