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Karhunen-Loeve decomposition of peripheral blood flow signal

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Karhunen-Loeve decomposition of peripheral blood flow signal. / Hožič, Mario; Stefanovska, Aneta.
In: Physica A: Statistical Mechanics and its Applications, Vol. 280, No. 3-4, 01.06.2000, p. 587-601.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Hožič, M & Stefanovska, A 2000, 'Karhunen-Loeve decomposition of peripheral blood flow signal', Physica A: Statistical Mechanics and its Applications, vol. 280, no. 3-4, pp. 587-601. https://doi.org/10.1016/S0378-4371(00)00070-4

APA

Hožič, M., & Stefanovska, A. (2000). Karhunen-Loeve decomposition of peripheral blood flow signal. Physica A: Statistical Mechanics and its Applications, 280(3-4), 587-601. https://doi.org/10.1016/S0378-4371(00)00070-4

Vancouver

Hožič M, Stefanovska A. Karhunen-Loeve decomposition of peripheral blood flow signal. Physica A: Statistical Mechanics and its Applications. 2000 Jun 1;280(3-4):587-601. doi: 10.1016/S0378-4371(00)00070-4

Author

Hožič, Mario ; Stefanovska, Aneta. / Karhunen-Loeve decomposition of peripheral blood flow signal. In: Physica A: Statistical Mechanics and its Applications. 2000 ; Vol. 280, No. 3-4. pp. 587-601.

Bibtex

@article{af4272a9e4aa4b789324e0180c45161b,
title = "Karhunen-Loeve decomposition of peripheral blood flow signal",
abstract = "The Karhunen-Loeve expansion is applied to scalar signals and the effect of window length (t(w)), time lag (tau) and embedding dimension (d) is analysed for periodic signals and for signals modeled by the Lorenz equations. For tau not equal k/2 f(i) (f(i) are characteristic frequencies of the signal, ii is positive integer), we obtain 2m modes from an m-periodic signal. For a large set of parameters a finite number of modes was not obtained from the Lorenz system. It is further shown that, on the time scale of a minute, the peripheral blood flow signal contains oscillatory modes that occur in pairs thereby confirming that the blood flow through the cardiovascular system is oscillatory. Some of the difficulties of applying Karhunen-Loeve expansion to scalar signals are pointed out. (C) 2000 Elsevier Science B.V. All rights reserved.",
keywords = "WAVELET ANALYSIS, oscillations, peripheral blood flow, TIME-SERIES, Karhunen-Loeve decomposition, DYNAMICS",
author = "Mario Ho{\v z}i{\v c} and Aneta Stefanovska",
year = "2000",
month = jun,
day = "1",
doi = "10.1016/S0378-4371(00)00070-4",
language = "English",
volume = "280",
pages = "587--601",
journal = "Physica A: Statistical Mechanics and its Applications",
issn = "0378-4371",
publisher = "Elsevier",
number = "3-4",

}

RIS

TY - JOUR

T1 - Karhunen-Loeve decomposition of peripheral blood flow signal

AU - Hožič, Mario

AU - Stefanovska, Aneta

PY - 2000/6/1

Y1 - 2000/6/1

N2 - The Karhunen-Loeve expansion is applied to scalar signals and the effect of window length (t(w)), time lag (tau) and embedding dimension (d) is analysed for periodic signals and for signals modeled by the Lorenz equations. For tau not equal k/2 f(i) (f(i) are characteristic frequencies of the signal, ii is positive integer), we obtain 2m modes from an m-periodic signal. For a large set of parameters a finite number of modes was not obtained from the Lorenz system. It is further shown that, on the time scale of a minute, the peripheral blood flow signal contains oscillatory modes that occur in pairs thereby confirming that the blood flow through the cardiovascular system is oscillatory. Some of the difficulties of applying Karhunen-Loeve expansion to scalar signals are pointed out. (C) 2000 Elsevier Science B.V. All rights reserved.

AB - The Karhunen-Loeve expansion is applied to scalar signals and the effect of window length (t(w)), time lag (tau) and embedding dimension (d) is analysed for periodic signals and for signals modeled by the Lorenz equations. For tau not equal k/2 f(i) (f(i) are characteristic frequencies of the signal, ii is positive integer), we obtain 2m modes from an m-periodic signal. For a large set of parameters a finite number of modes was not obtained from the Lorenz system. It is further shown that, on the time scale of a minute, the peripheral blood flow signal contains oscillatory modes that occur in pairs thereby confirming that the blood flow through the cardiovascular system is oscillatory. Some of the difficulties of applying Karhunen-Loeve expansion to scalar signals are pointed out. (C) 2000 Elsevier Science B.V. All rights reserved.

KW - WAVELET ANALYSIS

KW - oscillations

KW - peripheral blood flow

KW - TIME-SERIES

KW - Karhunen-Loeve decomposition

KW - DYNAMICS

U2 - 10.1016/S0378-4371(00)00070-4

DO - 10.1016/S0378-4371(00)00070-4

M3 - Journal article

VL - 280

SP - 587

EP - 601

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

SN - 0378-4371

IS - 3-4

ER -