Published October 27, 2008 | Version v1
Journal article

The Wiener-Khinchin theorem and recurrence quantification

  • 1. Department of Molecular Biophysics and Physiology, Rush University Medical Center, 1653 W. Congress, Chicago, IL 60612 (United States)
  • 2. Potsdam Institute for Climate Impact Research (PIK), 14412 Potsdam (Germany)

Description

The Wiener-Khinchin theorem states that the power spectrum is the Fourier transform of the autocovariance function. One form of the autocovariance function can be obtained through recurrence quantification. We show that the advantage of defining the autocorrelation function with recurrences can demonstrate higher dimensional dynamics

Availability note (English)

Available from http://dx.doi.org/10.1016/j.physleta.2008.09.027

Additional details

Identifiers

DOI
10.1016/j.physleta.2008.09.027;
PII
S0375-9601(08)01410-2;

Publishing Information

Journal Title
Physics Letters. A
Journal Volume
372
Journal Issue
44
Journal Page Range
p. 6622-6626
ISSN
0375-9601
CODEN
PYLAAG

INIS

Country of Publication
Netherlands
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
40053273
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
FOURIER TRANSFORMATION; FUNCTIONS; MANY-DIMENSIONAL CALCULATIONS; RECURSION RELATIONS; SPECTRA
Descriptors DEC
INTEGRAL TRANSFORMATIONS; TRANSFORMATIONS

Optional Information

Copyright
Copyright (c) 2008 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.