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Pulse Reflectometry as an Acoustical Inverse Problem: Regularisation of the Bore Reconstruction

Research output: Contribution to conferenceAbstract

Author(s)

Barbara Forbes, Jonathan A Kemp, David Sharp

School/Research organisations

Abstract

The theoretical basis of acoustic pulse reflectometry, a noninvasive method for the reconstruction of an acoustical duct from the reflections measured in response to an input pulse, is reviewed in terms of the inversion of the central Fredholm equation. It is known that this is an ill-posed problem in the context of finite-bandwidth experimental signals. Recent work by the authors has proposed the truncated singular value decomposition (TSVD) in the regularization of the transient input impulse response, a non-measurable quantity from which the spatial bore reconstruction is derived. The present paper further emphasises the relevance of the singular system framework to reflectometry applications, examining, for the first time, the transient bases of the system. In particular, by varying the truncation point for increasing condition numbers of the system matrix, it is found that the effects of out-of-bandwidth singular functions on the bore reconstruction can be systematically studied.
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Details

Original languageEnglish
Publication statusPublished - Dec 2002
EventFirst Pan-American/Iberian Meeting on Acoustics incorporating the 144th Meeting of the Acoustical Society of America (ASA) - Cancun, Mexico
Duration: 2 Dec 20026 Dec 2002

Conference

ConferenceFirst Pan-American/Iberian Meeting on Acoustics incorporating the 144th Meeting of the Acoustical Society of America (ASA)
CountryMexico
CityCancun
Period2/12/026/12/02

    Research areas

  • singular systems acoustic pulse reflectometry deconvolution

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ID: 23477835

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