Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by

Same author

Factors associated with rapid pediatric acute seizure emergency treatment: Quality Improvement in Time to Treat Status Epilepticus baseline cohort.

Epilepsia·2026

Same author

Exercise-Induced Autonomic and Cardio-Respiratory Stress at High Altitude in Leisure Athletes.

High altitude medicine & biology·2026

Same author

Digital twins. The future of personalized epilepsy care.

Epilepsy & behavior : E&B·2026

Same author

Video-based diagnostics supported by artificial intelligence as an opportunity to address the epilepsy diagnostic gap: A narrative review.

Epilepsia·2026

Same author

A two-stage algorithm to detect electrographically focal seizures using a wearable single-channel EEG sensor.

IEEE transactions on bio-medical engineering·2026

Same author

Evaluating multimodal autonomic correlations in pediatric epilepsy using wearable biosignals.

Epilepsia·2026

Same journal

Vagus nerve control of HMGB1 accessibility: a bioelectronic strategy for inflammation and pain.

Bioelectronic medicine·2026

Same journal

Effects of transcutaneous auricular vagus nerve stimulation or combined vagal and trigeminal nerve stimulation on platelet function and laboratory hemostasis parameters in healthy human subjects.

Bioelectronic medicine·2026

Same journal

A novel, wearable, in-ear EEG technology to assess sleep and daytime sleepiness.

Bioelectronic medicine·2026

Same journal

Participant-centered tolerability of transcutaneous auricular vagus nerve stimulation: insights from two crossover studies.

Bioelectronic medicine·2026

Same journal

Vagus nerve stimulation in Crohn's disease: long-term outcomes, mechanistic insights, and the promise of non-invasive approaches.

Bioelectronic medicine·2026

Same journal

A novel transcutaneous auricular neurostimulation electrode configuration for treatment of heavy menstrual bleeding: an open-label trial.

Bioelectronic medicine·2026

See all related articles

Search research articles

Related Experiment Video

Updated: Oct 4, 2025

Visualization of Failure and the Associated Grain-Scale Mechanical Behavior of Granular Soils under Shear using Synchrotron X-Ray Micro-Tomography

Visualization of Failure and the Associated Grain-Scale Mechanical Behavior of Granular Soils under Shear using Synchrotron X-Ray Micro-Tomography

Published on: September 29, 2019

Coarse-graining and the Haar wavelet transform for multiscale analysis.

William J Bosl^1,2,3, Tobias Loddenkemper⁴, Solveig Vieluf^4,5

¹University of San Francisco, 2130 Fulton Street, San Francisco, CA, 94117, USA. wjbosl@usfca.edu.

Bioelectronic Medicine

|February 2, 2022

Summary

This summary is machine-generated.

Multiscale entropy (MSE) analysis decomposes physiological signals using coarse-graining, which is mathematically equivalent to the Haar wavelet transform. This clarifies MSE scales and prompts research into optimal signal decomposition methods.

Keywords:

Coarse-graining Fourier transform Haar Multiscale Multiscale entropy Wavelet

More Related Videos

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section

Published on: July 19, 2016

Automatic Detection of Highly Organized Theta Oscillations in the Murine EEG

Automatic Detection of Highly Organized Theta Oscillations in the Murine EEG

Published on: March 10, 2017

Related Experiment Videos

Last Updated: Oct 4, 2025

Visualization of Failure and the Associated Grain-Scale Mechanical Behavior of Granular Soils under Shear using Synchrotron X-Ray Micro-Tomography

Visualization of Failure and the Associated Grain-Scale Mechanical Behavior of Granular Soils under Shear using Synchrotron X-Ray Micro-Tomography

Published on: September 29, 2019

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section

Published on: July 19, 2016

Automatic Detection of Highly Organized Theta Oscillations in the Murine EEG

Automatic Detection of Highly Organized Theta Oscillations in the Murine EEG

Published on: March 10, 2017

Area of Science:

Signal processing
Biomedical engineering
Entropy analysis

Background:

Multiscale entropy (MSE) is widely used for physiological signal analysis.
MSE involves decomposing signals into scales via coarse-graining.
Understanding MSE's mathematical underpinnings is crucial.

Purpose of the Study:

To clarify the mathematical relationship between coarse-graining and wavelet transforms in MSE.
To provide a more transparent understanding of 'scales' in MSE analysis.
To guide future research in optimizing MSE computation.

Main Methods:

The study analyzes the coarse-graining algorithm used in MSE.
It compares coarse-graining to the Haar wavelet transform.
Mathematical equivalence between the two methods is demonstrated.

Main Results:

Coarse-graining is mathematically identical to Haar wavelet transform approximations.
This equivalence clarifies the nature of 'scales' in MSE as wavelet approximations.
Entropy values vary with different wavelet basis functions.

Conclusions:

Coarse-graining is equivalent to Haar wavelet approximations at specific scales.
Framing coarse-graining as a Haar wavelet transform encourages research into optimal signal decomposition for entropy analysis.
Further investigation is needed to determine the best wavelet methods for MSE.