2021/05/20 by Michael G. Rosenblum, Rosenblum, Michael, Arkady Pikovsky +5 · 2 citations
Neuroscience · Medicine · Engineering · #Neural dynamics and brain function #Advanced MRI Techniques and Applications #Control Systems and Identification
paper · pdf · doi:10.48550/arxiv.2105.10404
Computation of the instantaneous phase and amplitude via the Hilbert\nTransform is a powerful tool of data analysis. This approach finds many\napplications in various science and engineering branches but is not proper for\ncausal estimation because it requires knowledge of the signal's past and\nfuture. However, several problems require real-time estimation of phase and\namplitude; an illustrative example is phase-locked or amplitude-dependent\nstimulation in neuroscience. In this paper, we discuss and compare three causal\nalgorithms that do not rely on the Hilbert Transform but exploit well-known\nphysical phenomena, the synchronization and the resonance. After testing the\nalgorithms on a synthetic data set, we illustrate their performance computing\nphase and amplitude for the accelerometer tremor measurements and a\nParkinsonian patient's beta-band brain activity.\n