Abstract

To objectively evaluate weak neural responses such as auditory steady-state responses (ASSRs) often involves repetitive measurements, after which the accumulated trials are averaged or analyzed by statistical methods to detect a significant response. Such detection methods are often performed off-line on all measured trials. However, the number of required trials, and therefore the measurement time, is often heuristically chosen, and might be suboptimal. In this work, we compared three real-time signal-detection algorithms that could yield improved detection performance, at reduced measurement time. The classical Neyman-Pearson (NP) detector was evaluated by quantifying the signal-to-noise ratio (SNR), and detection probability of ASSRs, as a function of accumulated trial number. We also analyzed the performance of the Bayes factor (BF) to detect ASSRs at different thresholds. Finally, we modified the sequential probability ratio test (SPRT), with a cropped maximum likelihood (ML) estimator, such that it can detect ASSRs (with unknown SNRs) sequentially. We compared the three real-time detectors by using Monte Carlo simulation, and evaluated their performance on detecting ASSRs, generated from the superposition of a pair of amplitude-modulated (AM) tones near 40 Hz in the EEG of nine subjects with normal hearing. The low-order ASSRs (i.e., envelope frequency-following responses) have been sufficiently evaluated in the literature. However, the higher-order ASSRs might reflect further nonlinear mechanisms in the upper ascending auditory pathway. Results show that the real-time detectors can detect not only all low-order ASSRs but also higher-order ASSRs at frequencies with lower SNR. The NP detector yielded the best simulation and actual detection performance. For all subjects, the second-order ASSRs could already be detected with the NP and BF detectors within five trials, but more trials were needed for the modified SPRT detector. In general, higher-order ASSRs require more trials to detect, with the exception of ASSRs near 40 Hz and 80 Hz. In conclusion, compared with traditional off-line detectors, both (real-time) NP and BF detectors showed improved detection performance, and their application in EEG experiments can save valuable measurement time.

Highlights

  • T HE auditory steady-state response (ASSR) is an envelope-following response [1] to periodic sound complexes, which manifests as stable brain oscillations that are locked to the frequencies present in the sound envelopes [2]

  • We extended the standard sequential probability ratio test (SPRT) to allow for composite hypotheses testing by using a cropped maximum likelihood (ML) estimate, which estimates the probability density functions (PDF) parameter (i.e., signal-to-noise ratio (SNR)) from currently available observations

  • Note the stimulus illustrated here were present to the left ear, and we showed only 200 ms at the beginning of the stimulus for clear visualization. (B) The stimulus for each trial was the superposition of two AM tones with the same carrier frequency (CF) of 500 Hz, and two modulation frequency (MF) of 37 and 43 Hz

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Summary

Introduction

T HE auditory steady-state response (ASSR) is an envelope-following response [1] to periodic sound complexes, which manifests as stable brain oscillations that are locked to the frequencies present in the sound envelopes [2]. ASSRs are due to nonlinear signal processes that may be generated at different levels within the auditory pathway, ranging from as early as the cochlear nerve and subcortical sources, to the neocortex [3], [4]. Because of their reproducibility and involuntary nature, ASSRs have been considered a valid objective biomarker to assess hearing thresholds for clinical use and auditory system disorders [3], [5].

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