Nonlinear estimation of coherent phase vibrations for statistical signals through multivariable analyses

Linhua Deng

doi:10.1117/12.2196994

6 July 2015 Nonlinear estimation of coherent phase vibrations for statistical signals through multivariable analyses

Linhua Deng

Proceedings Volume 9631, Seventh International Conference on Digital Image Processing (ICDIP 2015); 96312C (2015) https://doi.org/10.1117/12.2196994
Event: Seventh International Conference on Digital Image Processing (ICDIP15), 2015, Los Angeles, United States

Abstract

Three nonlinear analysis techniques, including cross-recurrence plot, line of synchronization, and cross-wavelet transform, are proposed to estimate the coherent phase vibrations of nonlinear and non-stationary time series. The case study utilizes the monthly averages of sunspot areas during the time interval from May 1874 to August 2014. The following prominent results are found: (1) the phase-leading hemisphere of long-term sunspot areas has changed twice in the past 140 years, indicating that the hemispheric imbalances and apparent phase differences on both hemispheres are a prevalent behavior and are not anomalous; (2) the alternating regularity of hemispheric asynchronism exhibits a cyclical pattern of 4.5+3.5 cycles, and the magnetic flux excess in a certain hemisphere during the ascending branch of a cycle can be taken as an indication of the phase-leading hemisphere in this cycle. We firmly believe that powerful nonlinear approaches are more advanced than classical linear methods when they are combined to determine the dynamic complexity of nonlinear physical systems.

Citation Download Citation

Linhua Deng "Nonlinear estimation of coherent phase vibrations for statistical signals through multivariable analyses", Proc. SPIE 9631, Seventh International Conference on Digital Image Processing (ICDIP 2015), 96312C (6 July 2015); https://doi.org/10.1117/12.2196994

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available

Members: $17.00

Non-members: $21.00 ADD TO CART

PROCEEDINGS
6 PAGES

DOWNLOAD PAPER SAVE TO MY LIBRARY

GET CITATION

RIGHTS & PERMISSIONS

Get copyright permission Get copyright permission on Copyright Marketplace

KEYWORDS

Solar processes

Statistical analysis

Magnetism

Nonlinear optics

Analytical research

Phase shifts

Astronomical imaging

Show All Keywords

Keywords/Phrases

Search In:

Publication Years