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ROPE: a novel method for real-time phase estimation of complex biological rhythms
Antonio Spallone1,2, Marco Coraggio3, Francesco De Lellis4
1Department of Agricultural Sciences, University of Naples Federico II, Naples, Italy.
Journal of the Royal Society, Interface
|March 12, 2026
Summary
We developed ROPE, a novel real-time algorithm for phase estimation in multi-dimensional signals. It accurately analyzes complex rhythms, outperforming existing methods and enabling new diagnostic and therapeutic applications.
Area of Science:
- Signal Processing
- Computational Neuroscience
- Biomedical Engineering
Background:
- Accurate phase estimation is crucial for analyzing oscillatory signals in fields like neuroscience and robotics.
- Current methods often require offline processing and are limited to one-dimensional signals, hindering real-time applications.
Purpose of the Study:
- Introduce ROPE, the first phase-estimation algorithm designed for arbitrary signal dimensions and real-time operation.
- Address limitations of existing methods in handling complex, multi-dimensional, and time-sensitive oscillatory data.
Main Methods:
- ROPE segments signals into pseudo-periods by identifying repetitions.
- It assigns phase values through efficient searches over historical signal segments.
- The algorithm is validated on diverse data, including chaotic systems, motion capture, and ECG.
Main Results:
- ROPE demonstrates robustness against noise and signal drift.
- Achieves significantly superior performance compared to state-of-the-art phase-estimation techniques.
- Successfully handles signals of arbitrary dimensions in real time with minimal error.
Conclusions:
- ROPE offers a significant advancement for real-time analysis of complex biological rhythms.
- Enables new diagnostic approaches for pathological rhythm disruptions in neurological and cardiovascular disorders.
- Paves the way for developing novel rhythm-based therapeutic interventions.
Keywords:
multidimensional biological signalsonline phase estimationphase/frequency synchronizationpseudo-periodic dynamicssignal processing
