The University of Southampton
University of Southampton Institutional Repository

On the relationship between time and frequency domain methods in time delay estimation for leak detection in water disribution pipes

On the relationship between time and frequency domain methods in time delay estimation for leak detection in water disribution pipes
On the relationship between time and frequency domain methods in time delay estimation for leak detection in water disribution pipes
Estimation of time delay in a vibroacoustic system is a problem that occurs in several engineering fields. This can be determined directly in the time domain or in the frequency domain by examining the phase spectrum of two signals. In this paper, the equivalence of these two methods is discussed with particular reference to the problem of determining the position of a leak in water distribution pipes. Popular methods central to this process are based on cross-correlation, and it has been found that pre-whitening the signals prior to determining the cross-correlation function has certain advantages. A new interpretation of the process of cross-correlation for time delay estimation is presented. To support the theoretical findings, analysis is carried out on test data from a specially constructed leak-detection facility located at a National Research Council site in Canada. Test results show that the time delay estimates and their variances calculated using time and frequency domain methods are almost identical.
0022-460X
213-223
Brennan, M.J.
87c7bca3-a9e5-46aa-9153-34c712355a13
Gao, Y.
3f048356-567d-4308-853f-d98fabfcb6fb
Joseph, P.F.
9c30491e-8464-4c9a-8723-2abc62bdf75d
Brennan, M.J.
87c7bca3-a9e5-46aa-9153-34c712355a13
Gao, Y.
3f048356-567d-4308-853f-d98fabfcb6fb
Joseph, P.F.
9c30491e-8464-4c9a-8723-2abc62bdf75d

Brennan, M.J., Gao, Y. and Joseph, P.F. (2007) On the relationship between time and frequency domain methods in time delay estimation for leak detection in water disribution pipes. Journal of Sound and Vibration, 304 (1-2), 213-223. (doi:10.1016/j.jsv.2007.02.023).

Record type: Article

Abstract

Estimation of time delay in a vibroacoustic system is a problem that occurs in several engineering fields. This can be determined directly in the time domain or in the frequency domain by examining the phase spectrum of two signals. In this paper, the equivalence of these two methods is discussed with particular reference to the problem of determining the position of a leak in water distribution pipes. Popular methods central to this process are based on cross-correlation, and it has been found that pre-whitening the signals prior to determining the cross-correlation function has certain advantages. A new interpretation of the process of cross-correlation for time delay estimation is presented. To support the theoretical findings, analysis is carried out on test data from a specially constructed leak-detection facility located at a National Research Council site in Canada. Test results show that the time delay estimates and their variances calculated using time and frequency domain methods are almost identical.

Full text not available from this repository.

More information

Published date: 10 July 2007

Identifiers

Local EPrints ID: 46585
URI: https://eprints.soton.ac.uk/id/eprint/46585
ISSN: 0022-460X
PURE UUID: fe8bf962-782b-4627-8bc5-a2b8af4f01cc

Catalogue record

Date deposited: 06 Jul 2007
Last modified: 13 Mar 2019 21:02

Export record

Altmetrics

Contributors

Author: M.J. Brennan
Author: Y. Gao
Author: P.F. Joseph

University divisions

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of https://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×