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Cross-wavelet analysis allows obtaining high temporal and frequency resolution in heart rate synchrony analysis.

Code ↔ Paper

3 matches between paragraphs of the paper and lines of its authors' code, computed by the harvester (lexical-v1). Click a colored paragraph or line to see its counterpart.

The 3 matches
  1. [1] § Principles of cross-wavelet power analysis ↔ CrossWaveletPower_RScript.Rmd, lines 161–230 · score 0.80 · imaginary part, mother wavelet, Morlet wavelet, daughter wavelet, sine waves, Wavelet transform
  2. [2] § Principles of cross-wavelet power analysis ↔ CrossWaveletPower_RScript.Rmd, lines 76–159 · score 0.64 · widely known Fourier, Fourier transform, frequency components, Wavelet transform, amplitudes, power
  3. [3] § Principles of cross-wavelet power analysis ↔ CrossWaveletPower_RScript.Rmd, lines 161–230 · score 0.57 · shifted version, Morlet wavelet, daughter wavelet, compressed

Paper

Loaded from Europe PMC by your browser, not stored by OSCR: doi.org · Europe PMC

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The authors' code

R Markdown · 663 lines · 23 KB · no license · 3 matches

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It can be read at the source: CrossWaveletPower_RScript.Rmd.

Overview

Authors: Bernadette F. Denk1,2, Stella Wienhold1,2, Nina Volkmer1,2, Nikolaus F. Troje3, Maria Meier1,4, Jens C. Pruessner1,2
  1. Department of Psychology, University of Konstanz, Konstanz, Germany
  2. Centre for the Advanced Study of Collective Behaviour, University of Konstanz, Konstanz, Germany
  3. Department of Biology, Centre for Vision Research, York University, Toronto, ON, Canada
  4. Department of Child and Adolescent Psychiatry/Psychotherapy, University of Ulm, Ulm, Germany
Institutions: University of Konstanz (Germany); York University (Canada); University of York (United Kingdom); Universität Ulm (Germany)
Journal: Frontiers in network physiology, volume 6, article 1869004
Dates: received 29 April 2026; accepted 8 June 2026; published online 8 July 2026
Type: Research article · Language: English
License: CC BY
Identifiers: DOI 10.3389/fnetp.2026.1869004 · PMID 42488130 · PMCID PMC13389767 · OpenAlex W7167712128
Open access: gold, a free copy (OpenAlex)
Status: code verified
Categories: systems (subfield)
Methods: Connectivity, Machine learning, Preprocessing, Spectral & time-frequency
Keywords: autonomic nervous system, cross-correlation, cross-wavelet power, interpersonal synchrony, network physiology, social interaction, synchrony methods, time-frequency analysis
Journal subjects: Technology and Code
Topic: Action Observation and Synchronization (Social Psychology, Psychology), according to OpenAlex
Citations: not cited yet (Europe PMC); 55 references in the paper

Abstract

Interpersonal synchrony, the temporal correspondence of repeated behavioral, physiological, or neural measures between individuals, has been analyzed using a variety of different methods. However, the analysis method needs to be carefully chosen to ensure an adequate interpretation of the results. Here, we suggest using cross-wavelet power for interpersonal synchrony analysis due to several advantages. We demonstrate the proposed method using the example of heart rate synchrony. In cross-wavelet power analysis, synchrony is determined per frequency band and time point, allowing for both fine-grained frequency and temporal resolution. We argue that applying this approach to analyze synchrony in heart rate data provides additional information about underlying processes that may influence overall heart rate alignment between individuals. We describe the principles of cross-wavelet power analysis and compare the method to the frequently used cross-correlational approach using simulated and real data. Cross-correlation is a linear measure of the similarity between time series, which includes the quantification of leader-follower relationships. We illustrate different implications for which data series are considered to be synchronous and describe the advantages and drawbacks of using cross-wavelet analysis across various possible synchronization scenarios. The main advantage of cross-wavelet power is its high time- and frequency resolution, whereas cross-correlation is more suitable when researchers aim to differentiate between synchrony types. Finally, we provide recommendations for implementing cross-wavelet power analysis, including R code to facilitate the application to one’s own data.

Reproduced under the paper's license (CC BY), from the paper cited above.

Repository

Its files are read in the Code ↔ Paper reader above, with 3 matches between paragraphs and lines of code.

gitlab.inf.uni-konstanz.de/bernadette.denk/cwp_for_sync_analysis

License: none: the authors keep all their rights
State: the link answers, verified on 27 September 2026
Evidence: files inventoried
Commit: 3b960c7d8262fd4498ff2ffe6bdb1a134ca750a6, 20 April 2026
Languages: R (1)
Size: 2 files, 1 script
Software Heritage: not archived
Found in: “Data availability statement”
Holds: README, 1 notebook
Not found: license file, CITATION.cff, environment file, tests, continuous integration, documentation
Tools: ggplot2 (1 file)
Availability: 1 check, the latest on 27 September 2026: the link answers
  • 27 September 2026: the link answers
2 files, not copied: shown from their source

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The paper's code and data availability statement is in the Data section.

Tracing map

Proposed by the machine: these links were found in the paper and verified at the source, without human review. The map will receive a Zenodo DOI once one of the paper's authors has validated it with their ORCID.

What the map holds:

  • 1 repository of the authors' code, each at its verified commit, with its license and how the link was found in the paper;
  • 1 script, each with its path and the digest of its content;
  • 3 matches between paragraphs of the paper and lines of the code (method lexical-v1);
  • neither the text of the paper nor the code itself.

Its JSON (tracing-map.json) is deposited on Zenodo with its DOI once the map is validated.

Data

No dataset and no data link were found in the paper.

Data availability statement

The original contributions presented in the study are included in the article/Supplementary Material. The code for data simulation and analysis is available under https://gitlab.inf.uni-konstanz.de/bernadette.denk/cwp_for_sync_analysis.

Reproduced under the paper's license (CC BY), from the paper cited above.

Versions

The history of this record: each version stored by the harvester or made by a correction of its authors or of the maintainers of its code, and what changed in its facts. The texts of the paper (its abstract, its availability statements) are not part of it; versions that changed only those are not listed.

Version 1, 27 September 2026: the first record

Recorded: type, language, journal, volume, pages, dates, 6 authors, 8 keywords, 1 funder, 49 references.

Cite

This paper

Denk, B. F., Wienhold, S., Volkmer, N., Troje, N. F., Meier, M., & Pruessner, J. C. (2026). Cross-wavelet analysis allows obtaining high temporal and frequency resolution in heart rate synchrony analysis. Frontiers in network physiology, 6, 1869004. https://doi.org/10.3389/fnetp.2026.1869004

BibTeX

@article{denk2026cross,
author = {Denk, Bernadette F. and Wienhold, Stella and Volkmer, Nina and Troje, Nikolaus F. and Meier, Maria and Pruessner, Jens C.},
title = {{Cross-wavelet analysis allows obtaining high temporal and frequency resolution in heart rate synchrony analysis}},
journal = {Frontiers in network physiology},
year = {2026},
month = jul,
volume = {6},
pages = {1869004},
publisher = {Frontiers Media SA},
issn = {2674-0109},
doi = {10.3389/fnetp.2026.1869004},
url = {https://doi.org/10.3389/fnetp.2026.1869004},
pmid = {42488130},
pmcid = {PMC13389767}
}

RIS

TY - JOUR
AU - Denk, Bernadette F.
AU - Wienhold, Stella
AU - Volkmer, Nina
AU - Troje, Nikolaus F.
AU - Meier, Maria
AU - Pruessner, Jens C.
TI - Cross-wavelet analysis allows obtaining high temporal and frequency resolution in heart rate synchrony analysis
T2 - Frontiers in network physiology
J2 - Front Netw Physiol
PY - 2026
DA - 2026/07/08
VL - 6
SP - 1869004
SN - 2674-0109
PB - Frontiers Media SA
DO - 10.3389/fnetp.2026.1869004
UR - https://doi.org/10.3389/fnetp.2026.1869004
LA - en
ER -

CSL-JSON

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The tracing map gets a citation of its own once an author has validated it and it has a DOI.

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