Real-time phase and amplitude estimation of neurophysiological signals exploiting a non-resonant oscillator
Johannes L Busch, Lucia K Feldmann, Andrea A Kühn, Michael Rosenblum
Exp Neurol.


A recent advancement in the field of neuromodulation is to adapt stimulation parameters according to pre-specified biomarkers tracked in real-time. These markers comprise short and transient signal features, such as bursts of elevated band power. To capture these features, instantaneous measures of phase and/or amplitude are employed, which inform stimulation adjustment with high temporal specificity. For adaptive neuromodulation it is therefore necessary to precisely estimate a signal’s phase and amplitude with minimum delay and in a causal way, i.e. without depending on future parts of the signal. Here we demonstrate a method that utilizes oscillation theory to estimate phase and amplitude in real-time and compare it to a recently proposed causal modification of the Hilbert transform. By simulating real-time processing of human LFP data, we show that our approach almost perfectly tracks offline phase and amplitude with minimum delay and is computationally highly efficient.

Published: 2022 Jan

Fig. 1. A: Power spectra of all datasets. Columns indicate patients and rows indicate hemispheres (first row = right hemisphere, second row = left hemisphere). Selected peak frequencies are marked by vertical bars in dark grey and filter bandwidths are indicated by areas around each peak frequency in light grey. B, C: Exemplary sections from dataset 1 of estimated phase (B) and amplitude (C) for all techniques employed. D, E: Correlation coefficients between oHT and ecHT (red) and between oHT and NRO (blue), for phase (D) and amplitude (E) estimates for each dataset.