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Updated: May 6, 2026
A Method for Tracking the Time Evolution of Steady-State Evoked Potentials
Published on: May 25, 2019
Least-squares deconvolution of evoked potentials and sequence optimization for multiple stimuli under low-jitter
Fabrice Bardy1, Harvey Dillon2, Bram Van Dun2
1Department of Linguistics, Macquarie University, NSW, Australia; HEARing Co-operative Research Centre, Australia; National Acoustic Laboratories, NSW, Australia.
Objective:
Rapid presentation of stimuli in an evoked response paradigm can lead to overlap of multiple responses and consequently difficulties interpreting waveform morphology. This paper presents a deconvolution method allowing overlapping multiple responses to be disentangled.
Methods:
The deconvolution technique uses a least-squared error approach. A methodology is proposed to optimize the stimulus sequence associated with the deconvolution technique under low-jitter conditions. It controls the condition number of the matrices involved in recovering the responses. Simulations were performed using the proposed deconvolution technique.
Results:
Multiple overlapping responses can be recovered perfectly in noiseless conditions. In the presence of noise, the amount of error introduced by the technique can be controlled a priori by the condition number of the matrix associated with the used stimulus sequence. The simulation results indicate the need for a minimum amount of jitter, as well as a sufficient number of overlap combinations to obtain optimum results. An aperiodic model is recommended to improve reconstruction.
Conclusions:
We propose a deconvolution technique allowing multiple overlapping responses to be extracted and a method of choosing the stimulus sequence optimal for response recovery.
Significance:
This technique may allow audiologists, psychologists, and electrophysiologists to optimize their experimental designs involving rapidly presented stimuli, and to recover evoked overlapping responses.
