Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Double Spectral theorem and Two Type Magnitude Coherence Functions.

Y Liu1, Z Xie, D M Xie

  • 1Department of Biomedical Engineering of Chongqing University of Medical Sciences, Chongqing, 400016 China.

Conference Proceedings : ... Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE Engineering in Medicine and Biology Society. Annual Conference
|February 7, 2007
PubMed
Summary

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

G-395A polymorphism in the promoter region of the KLOTHO gene and hypertension among elderly (90 years and older) Chinese individuals.

Genetics and molecular research : GMR·2015
Same author

The new magnitude-squared coherence functions and their properties sensitive to phase.

Conference proceedings : ... Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE Engineering in Medicine and Biology Society. Annual Conference·2007
Same author

The new magnitude coherence functions and their properties sensitive to phase.

Conference proceedings : ... Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE Engineering in Medicine and Biology Society. Annual Conference·2007
Same author

Double spectral theorem and two type magnitude-squared coherence functions.

Conference proceedings : ... Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE Engineering in Medicine and Biology Society. Annual Conference·2007
Same author

[Enhancement of fermentative glycerol yield with heat shock treatment].

Sheng wu gong cheng xue bao = Chinese journal of biotechnology·2000
Same author

Induction of phosphoglycerate kinase 1 gene expression by hypoxia. Roles of Arnt and HIF1alpha.

The Journal of biological chemistry·1996

New magnitude coherence functions (MCFs) precisely capture signal coherence. Derived from the double spectral theorem (DST), these functions overcome limitations of magnitude-squared coherence functions (MSCFs) by preserving phase information.

Area of Science:

  • Signal Processing
  • Time Series Analysis
  • Spectral Analysis

Background:

  • Frequency domain analysis is crucial for understanding signal coherence.
  • Magnitude-squared coherence functions (MSCFs) are widely used but can omit vital phase information.
  • The double spectral theorem (DST) provides a foundational framework for frequency domain coherence theories.

Purpose of the Study:

  • To introduce novel magnitude coherence functions (MCFs) that retain phase information.
  • To address the limitations of existing MSCFs in representing signal coherence.
  • To theoretically derive and validate new coherence measures based on the DST.

Main Methods:

  • Mathematical derivation of two new MCFs: same type magnitude coherence function (SMCF) and difference magnitude coherence function (DMCF).

Related Experiment Videos

  • Utilizing the double spectral theorem (DST) as the core theoretical basis.
  • Deriving theoretical conditions for MCFs equaling 1, -1, or 0 based on DST.

    • Main Results:

    • Successful mathematical derivation of SMCF and DMCF from the DST.
    • Theoretical establishment of conditions under which SMCF and DMCF equal 1, -1, or 0.
    • Demonstration that SMCF and DMCF can precisely extract coherence components between two signals.

    Conclusions:

    • SMCF and DMCF offer a more complete representation of signal coherence than MSCFs.
    • These new functions provide exact extraction of coherence information by component.
    • The DST is a powerful tool for developing advanced coherence analysis methods.