TY  - GEN
A1  - Rosenblum, Michael
A1  - Pikovskij, Arkadij
A1  - Kühn, Andrea A.
A1  - Busch, Johannes Leon
T1  - Real-time estimation of phase and amplitude with application to neural data
T2  - Zweitveröffentlichungen der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe
N2  - Computation of the instantaneous phase and amplitude via the Hilbert Transform is a powerful tool of data analysis. This approach finds many applications in various science and engineering branches but is not proper for causal estimation because it requires knowledge of the signal’s past and future. However, several problems require real-time estimation of phase and amplitude; an illustrative example is phase-locked or amplitude-dependent stimulation in neuroscience. In this paper, we discuss and compare three causal algorithms that do not rely on the Hilbert Transform but exploit well-known physical phenomena, the synchronization and the resonance. After testing the algorithms on a synthetic data set, we illustrate their performance computing phase and amplitude for the accelerometer tremor measurements and a Parkinsonian patient’s beta-band brain activity.
T3  - Zweitveröffentlichungen der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe - 1241 
Y1  - 2022
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/54963
UR  - https://nbn-resolving.org/urn:nbn:de:kobv:517-opus4-549630
SN  - 1866-8372
PB  - Universitätsverlag Potsdam
CY  - Potsdam
ER  -