Real-time estimation of phase and amplitude with application to neural data

  • 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.

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Metadaten
Author details:Michael RosenblumORCiDGND, Arkady PikovskyORCiDGND, Andrea A. KühnORCiDGND, Johannes Leon BuschORCiD
URN:urn:nbn:de:kobv:517-opus4-549630
DOI:https://doi.org/10.25932/publishup-54963
ISSN:1866-8372
Title of parent work (German):Zweitveröffentlichungen der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe
Publication series (Volume number):Zweitveröffentlichungen der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe (1241)
Publisher:Universitätsverlag Potsdam
Place of publishing:Potsdam
Publication type:Postprint
Language:English
Date of first publication:2022/05/11
Publication year:2021
Publishing institution:Universität Potsdam
Release date:2022/05/11
Number of pages:11
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie
DDC classification:5 Naturwissenschaften und Mathematik / 50 Naturwissenschaften / 500 Naturwissenschaften und Mathematik
Peer review:Referiert
Publishing method:Open Access / Green Open-Access
License (German):License LogoCC BY - Namensnennung, 4.0 International
External remark:Bibliographieeintrag der Originalveröffentlichung/Quelle
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