Recorded 30 August 2022. Arkady Pikovsky of Universität Potsdam presents "Inferring coupled oscillatory dynamics from data" at IPAM's Reconstructing Network Dynamics from Data: Applications to Neuroscience and Beyond. Abstract: In the analysis of oscillatory processes, one needs a good estimation of the phase. Here I discuss a recently suggested approach to phase demodulation based on iterated Hilbert transforms. I demonstrate that for purely phase modulated signals this method provides perfect demodulation, while its performance is much purer if also an amplitude modulation is presented. I also discuss, how a transformation from a generic protophase of an oscillatory signal to a ``true phase'' can be accomplished. Learn more online at: http://www.ipam.ucla.edu/programs/workshops/reconstructing-network-dynamics-from-data-applications-to-neuroscience-and-beyond/?tab=overview