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On the estimation of phase synchronization, spurious synchronization and filtering.
Wady A Rios Herrera1, Joaquín Escalona2, Daniel Rivera López2
1Instituto de Investigaciones en Ciencias Básicas y Aplicadas, Universidad Autónoma del Estado de Morelos, Avenida Universidad 1001, 62221 Cuernavaca, Morelos, Mexico.
Chaos (Woodbury, N.Y.)
|January 2, 2017
Summary
Properly filtering time series data does not create false phase synchronization. Instead, filtering can reveal existing phase interrelations, proving its utility in analyzing signal connections.
Area of Science:
- Nonlinear dynamics and signal processing.
- Complex systems analysis.
Background:
- Phase synchronization analysis is crucial for detecting interrelationships in empirical data.
- Accurate phase estimation from time series depends on power spectral density, ideally narrow-band.
- Band-pass filtering is often used for broadband data but may induce spurious synchronization.
Purpose of the Study:
- To investigate whether band-pass filtering induces spurious synchronization in phase synchronization analysis.
- To clarify the impact of filtering on detecting interrelationships in time series data.
- To demonstrate the utility of phase synchronization measures for general time series interrelation detection.
Main Methods:
- Analysis of signals from various test frameworks.
- Application of appropriate time-domain filtering techniques.
- Evaluation of phase synchronization measures, such as mean phase coherence.
Main Results:
- Appropriate filtering does not induce spurious synchronization in phase synchronization analysis.
- Time-domain filtering can obscure existing phase interrelations between signals.
- Phase synchronization measures are effective for detecting interrelations in various time series, not just coupled oscillators.
Conclusions:
- Band-pass filtering, when applied appropriately, is a valid pre-processing step for phase synchronization analysis.
- Filtering can enhance, rather than hinder, the detection of true phase interrelations.
- Measures of phase synchronization offer a robust method for identifying connections within diverse time series data.
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