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A Method for Tracking the Time Evolution of Steady-State Evoked Potentials

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Noise Attenuation Estimation for Maximum Length Sequences in Deconvolution Process of Auditory Evoked Potentials.

Xian Peng¹, Yun'er Chen¹, Tao Wang¹

¹School of Biomedical Engineering, Southern Medical University, Guangzhou, Guangdong, China.

Computational and Mathematical Methods in Medicine

|March 21, 2017

Summary

Maximum length sequence (m-sequence) experiments can recover linear and nonlinear system components. The study finds noise attenuation ratio is independent of m-sequence order, guiding experimental design for optimal signal recovery.

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Area of Science:

Signal processing
Biophysics
Systems neuroscience

Background:

Maximum length sequences (m-sequences) are effective for analyzing linear and nonlinear system components, especially under rapid stimulation.
Selecting the appropriate m-sequence polynomial order can be challenging in practical applications.
Standard analysis involves repetitive m-sequence delivery, ensemble averaging, and cross-correlation to deconvolve responses.

Purpose of the Study:

To derive theoretical equations for noise attenuation ratio (NAR) in m-sequence based signal recovery.
To investigate the influence of m-sequence order on NAR.
To provide practical guidelines for selecting m-sequences in experimental design.

Main Methods:

Derivation of theoretical equations for NAR based on classical noise reduction properties and an additive noise model.
Computer simulations to validate the derived NAR equations.
Nonlinear deconvolution experiments using m-sequences of order 7 and 9 with real data.

Main Results:

Theoretical and experimental results demonstrate that NAR is independent of the m-sequence polynomial order.
NAR is primarily determined by the total length of valid data and the stimulation rate.
The study provides a validated method for estimating required recording time and signal-to-noise ratio.

Conclusions:

M-sequence order selection is not critical for achieving a specific noise attenuation ratio.
Experimental design should focus on total data length and stimulation rate for optimal signal recovery.
The findings offer practical guidance for researchers using m-sequences in various scientific domains.