Within-cycle instantaneous frequency profiles report oscillatory waveform dynamics
Andrew J. Quinn, Vítor Lopes‐dos‐Santos, Norden E. Huang, Wei‐Kuang Liang, Chi‐Hung Juan, Jia‐Rong Yeh, Anna C. Nobre, David Dupret, Mark W. Woolrich
Abstract
We propose a novel analysis approach quantifying nonsinusoidal waveform shape. The approach isolates oscillations with empirical mode decomposition before waveform shape is quantified using phase-aligned instantaneous frequency. This characterizes the full shape profile of individual cycles while accounting for between-cycle differences in duration, amplitude, and timing. We validated in simulations before applying to identify a range of data-driven nonsinusoidal shape motifs in hippocampal theta oscillations.
Topics & Concepts
WaveformInstantaneous phaseAmplitudeHilbert–Huang transformOscillation (cell signaling)Phase (matter)Moment (physics)Biological systemPhysicsComputer scienceOpticsEnergy (signal processing)VoltageComputer visionGeneticsQuantum mechanicsFilter (signal processing)BiologyClassical mechanicsNeural dynamics and brain functionNeuroscience and Neuropharmacology ResearchFunctional Brain Connectivity Studies