The Higher Order Spectra for Condition Monitoring/NDT in Non-Stationary Conditions: Part II

Len Gelman; Ivan Petrunin

The Higher Order Spectra for Condition Monitoring/NDT in Non-Stationary Conditions: Part II

Len Gelman, Ivan Petrunin

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

The classical multi-frequency higher order spectra (HOS) based on the Fourier transform has been widely investigated for nonlinearity detection in stationary temporal processes. However, for some important applications (e.g. radar and sonar systems, mechanical systems with transient shaft rotation, etc.) it is necessary to process transient temporal processes with any (i.e. linear and nonlinear) polynomial variation of the instantaneous frequency. The classical HOS is not suitable for these processes because:

- the stationary kernel of the Fourier transform is not matched with transient processes, including processes with frequency variation in time.
- averaging of HOS for the whole process duration creates estimation errors due to signal non-stationarity.

Original language	English
Title of host publication	10th International Conference of the Slovenian Society for Non-Destructive Testing 2009
Subtitle of host publication	Application of Contemporary Non-Destructive Testing in Engineering
Editors	Janez Grum
Publisher	The Slovenian Society for Non-Destructive Testing
Pages	27-36
Number of pages	10
Volume	1
ISBN (Print)	9781634395830
Publication status	Published - 1 Oct 2009
Externally published	Yes
Event	10th International Conference of the Slovenian Society for Non-Destructive Testing 2009: Application of Contemporary Non-Destructive Testing in Engineering - Ljubljana, Slovenia Duration: 1 Sep 2009 → 3 Sep 2009 Conference number: 10

Publication series

Name	Edit E-Journal of Nondestructive Testing & Ultrasonics: The E-Journal of Nondestructive Testing & Ultrasonics
Publisher	NDT Internet Publishing
Number	10
Volume	14
ISSN (Electronic)	1435-4934

Conference

Conference	10th International Conference of the Slovenian Society for Non-Destructive Testing 2009
Country/Territory	Slovenia
City	Ljubljana
Period	1/09/09 → 3/09/09

Access to Document

https://www.ndt.net/search/docs.php3?id=8064Licence: Unspecified

Cite this

Gelman, L., & Petrunin, I. (2009). The Higher Order Spectra for Condition Monitoring/NDT in Non-Stationary Conditions: Part II. In J. Grum (Ed.), 10th International Conference of the Slovenian Society for Non-Destructive Testing 2009: Application of Contemporary Non-Destructive Testing in Engineering (Vol. 1, pp. 27-36). (Edit E-Journal of Nondestructive Testing & Ultrasonics: The E-Journal of Nondestructive Testing & Ultrasonics; Vol. 14, No. 10). The Slovenian Society for Non-Destructive Testing. https://www.ndt.net/search/docs.php3?id=8064

Gelman, Len ; Petrunin, Ivan. / The Higher Order Spectra for Condition Monitoring/NDT in Non-Stationary Conditions : Part II. 10th International Conference of the Slovenian Society for Non-Destructive Testing 2009: Application of Contemporary Non-Destructive Testing in Engineering . editor / Janez Grum. Vol. 1 The Slovenian Society for Non-Destructive Testing, 2009. pp. 27-36 (Edit E-Journal of Nondestructive Testing & Ultrasonics: The E-Journal of Nondestructive Testing & Ultrasonics; 10).

@inproceedings{f6f2009ff39448f29bf8615f3ff44070,

title = "The Higher Order Spectra for Condition Monitoring/NDT in Non-Stationary Conditions: Part II",

abstract = "The classical multi-frequency higher order spectra (HOS) based on the Fourier transform has been widely investigated for nonlinearity detection in stationary temporal processes. However, for some important applications (e.g. radar and sonar systems, mechanical systems with transient shaft rotation, etc.) it is necessary to process transient temporal processes with any (i.e. linear and nonlinear) polynomial variation of the instantaneous frequency. The classical HOS is not suitable for these processes because:- the stationary kernel of the Fourier transform is not matched with transient processes, including processes with frequency variation in time.- averaging of HOS for the whole process duration creates estimation errors due to signal non-stationarity.",

keywords = "Failure analysis, condition monitoring, Rotating machines",

author = "Len Gelman and Ivan Petrunin",

year = "2009",

month = oct,

day = "1",

language = "English",

isbn = "9781634395830",

volume = "1",

series = "Edit E-Journal of Nondestructive Testing & Ultrasonics: The E-Journal of Nondestructive Testing & Ultrasonics",

publisher = "The Slovenian Society for Non-Destructive Testing",

number = "10",

pages = "27--36",

editor = "Janez Grum",

booktitle = "10th International Conference of the Slovenian Society for Non-Destructive Testing 2009",

address = "Slovenia",

note = "10th International Conference of the Slovenian Society for Non-Destructive Testing 2009 : Application of Contemporary Non-Destructive Testing in Engineering ; Conference date: 01-09-2009 Through 03-09-2009",

}

Gelman, L & Petrunin, I 2009, The Higher Order Spectra for Condition Monitoring/NDT in Non-Stationary Conditions: Part II. in J Grum (ed.), 10th International Conference of the Slovenian Society for Non-Destructive Testing 2009: Application of Contemporary Non-Destructive Testing in Engineering . vol. 1, Edit E-Journal of Nondestructive Testing & Ultrasonics: The E-Journal of Nondestructive Testing & Ultrasonics, no. 10, vol. 14, The Slovenian Society for Non-Destructive Testing, pp. 27-36, 10th International Conference of the Slovenian Society for Non-Destructive Testing 2009, Ljubljana, Slovenia, 1/09/09. <https://www.ndt.net/search/docs.php3?id=8064>

The Higher Order Spectra for Condition Monitoring/NDT in Non-Stationary Conditions : Part II. / Gelman, Len; Petrunin, Ivan.

10th International Conference of the Slovenian Society for Non-Destructive Testing 2009: Application of Contemporary Non-Destructive Testing in Engineering . ed. / Janez Grum. Vol. 1 The Slovenian Society for Non-Destructive Testing, 2009. p. 27-36 (Edit E-Journal of Nondestructive Testing & Ultrasonics: The E-Journal of Nondestructive Testing & Ultrasonics; Vol. 14, No. 10).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - The Higher Order Spectra for Condition Monitoring/NDT in Non-Stationary Conditions

T2 - 10th International Conference of the Slovenian Society for Non-Destructive Testing 2009

AU - Gelman, Len

AU - Petrunin, Ivan

N1 - Conference code: 10

PY - 2009/10/1

Y1 - 2009/10/1

N2 - The classical multi-frequency higher order spectra (HOS) based on the Fourier transform has been widely investigated for nonlinearity detection in stationary temporal processes. However, for some important applications (e.g. radar and sonar systems, mechanical systems with transient shaft rotation, etc.) it is necessary to process transient temporal processes with any (i.e. linear and nonlinear) polynomial variation of the instantaneous frequency. The classical HOS is not suitable for these processes because:- the stationary kernel of the Fourier transform is not matched with transient processes, including processes with frequency variation in time.- averaging of HOS for the whole process duration creates estimation errors due to signal non-stationarity.

AB - The classical multi-frequency higher order spectra (HOS) based on the Fourier transform has been widely investigated for nonlinearity detection in stationary temporal processes. However, for some important applications (e.g. radar and sonar systems, mechanical systems with transient shaft rotation, etc.) it is necessary to process transient temporal processes with any (i.e. linear and nonlinear) polynomial variation of the instantaneous frequency. The classical HOS is not suitable for these processes because:- the stationary kernel of the Fourier transform is not matched with transient processes, including processes with frequency variation in time.- averaging of HOS for the whole process duration creates estimation errors due to signal non-stationarity.

KW - Failure analysis

KW - condition monitoring

KW - Rotating machines

UR - http://toc.proceedings.com/24329webtoc.pdf

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-84920364750&origin=inward&txGid=74a7e3b0c2d34326e041508181fd7ec9

M3 - Conference contribution

SN - 9781634395830

VL - 1

T3 - Edit E-Journal of Nondestructive Testing & Ultrasonics: The E-Journal of Nondestructive Testing & Ultrasonics

SP - 27

EP - 36

BT - 10th International Conference of the Slovenian Society for Non-Destructive Testing 2009

A2 - Grum, Janez

PB - The Slovenian Society for Non-Destructive Testing

Y2 - 1 September 2009 through 3 September 2009

ER -

Gelman L, Petrunin I. The Higher Order Spectra for Condition Monitoring/NDT in Non-Stationary Conditions: Part II. In Grum J, editor, 10th International Conference of the Slovenian Society for Non-Destructive Testing 2009: Application of Contemporary Non-Destructive Testing in Engineering . Vol. 1. The Slovenian Society for Non-Destructive Testing. 2009. p. 27-36. (Edit E-Journal of Nondestructive Testing & Ultrasonics: The E-Journal of Nondestructive Testing & Ultrasonics; 10).

The Higher Order Spectra for Condition Monitoring/NDT in Non-Stationary Conditions: Part II

Abstract

Publication series

Conference

Access to Document

Other files and links

Fingerprint

Cite this