Matched Representations and Filters for Guided Waves

Touzé, Grégoire Le; Nicolas, Barbara; Mars, Jérôme; Lacoume, Jean-Louis

doi:10.1109/tsp.2009.2013907

Cited by 68 publications

(28 citation statements)

References 27 publications

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“…Warping can be adapted to any physical situation by choosing the suitable wðtÞ. Dispersion based warping has been introduced by Le Touz e et al 10 The corresponding warping function is…”

Section: High Resolution Estimation Of the Dispersion Curvesmentioning

confidence: 99%

“…It considers the use of new warping approaches in signal processing. 9,10 At the ranges considered in this paper (1 < r < 10 km), warping provides highresolution TF information that can be inverted for seabed properties. Inversion is here performed using a Bayesian methodology which provides optimal estimates of parameters of interest and rigorously quantifies the uncertainty of these estimates.…”

Section: Introductionmentioning

confidence: 99%

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Bayesian geoacoustic inversion of single hydrophone light bulb data using warping dispersion analysis

Bonnel

Dosso

Chapman

2013

The Journal of the Acoustical Society of America

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This paper presents geoacoustic inversion of a light bulb implosion recorded during the Shallow Water 2006 experiment. The source is low frequency and impulsive, the environment is shallow water, and the acoustic signal is recorded using a single receiver. In this context, propagation is described by modal theory, and inversion is carried out by matching modal dispersion curves in the time-frequency domain. Experimental dispersion curves are estimated using an advanced signal processing method called warping, allowing inversion to be carried out at a relatively short range (~/=7 km). Moreover, the inversion itself is performed using Bayesian methodology. This allows inference of the seabed structure from the data, including the number of seabed layers resolved, optimal estimates of the seabed parameters, and quantitative uncertainty estimates. Inversion results of the experimental data are in good agreement with both ground truth and estimates from other experimental data in the same region.

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“…Warping can be adapted to any physical situation by choosing the suitable wðtÞ. Dispersion based warping has been introduced by Le Touz e et al 10 The corresponding warping function is…”

Section: High Resolution Estimation Of the Dispersion Curvesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Bayesian geoacoustic inversion of single hydrophone light bulb data using warping dispersion analysis

Bonnel

Dosso

Chapman

2013

The Journal of the Acoustical Society of America

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“…(10) in realistic/experimental waveguides enables good estimation of true group speeds, particularly when carried out in relatively small frequency bands that are far from the Airy frequencies. 8 This has been validated in simulations 7 and will be demonstrated on experimental data in the next section.…”

Section: Time-warping Inversion Schemementioning

confidence: 83%

Inversion of seabed attenuation using time-warping of close range data

Zeng

Chapman

Bonnel

2013

The Journal of the Acoustical Society of America

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An inversion scheme based on time-warping is presented for estimating seabed sound attenuation from modal dispersion of close-range single-hydrophone data. The dispersion information is extracted directly from the warped signal spectrum. Seabed sound speed and density are inverted from the modal group velocity curves, and the attenuation is inverted from the normalized modal amplitudes. The method is applied to experimental data collected in the Yellow Sea of China during the winter of 2002. The inverted sound speed and density are consistent with the sand-silt-clay sediment at the site, and the attenuation is nonlinear over the frequency band from 125–500 Hz.

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“…Discrete radian chirprate range is taken to be [0, 4π) above to match that of the discrete TCR mask H d (n, 2k/M), 0 ≤ k ≤ M − 1, of the proposed filter, since the mask is prepared based on a display of the TCR distribution given in Equation (41). Thus, two periods of the discrete bilinear TCR distribution in the chirp-rate variable are computed and displayed.…”

Section: Noiseless Input Casementioning

confidence: 99%

“…Both of them require the IF function of the signal to be reconstructed to be known up to a scaling constant. Another filtering approach has been developed in [41] to filter dispersive guided wave signals, based on unitary operators matching this kind of signals; however, proposed TF filters are specifically tailored for and limited to these Pekeris guided waves [41].…”

Section: Introductionmentioning

confidence: 99%

Filtering in the joint time/chirp-rate domain for separation of quadratic and cubic phase chirp signals

Özgen

2012

EURASIP J. Adv. Signal Process.

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This article investigates the possibility and convenience of a filtering operation in the joint time/chirp-rate (TCR) domain, and proposes a novel linear TCR filter for decomposing multicomponent signals into their quadratic and/ or cubic phase chirp components with monotonic instantaneous chirp-rate (ICR) laws only. The TCR domain mask of the filter is selected on a display of a TCR representation of an input signal to isolate the desired chirp component. Projecting the input signal onto the phase signal associated with the TCR mask and approximating the phase difference in this projection operation in terms of ICR values result in the proposed TCR filter that recovers the selected component. Simulations illustrate the proposed filtering in recovery of undersampled cubic phase signals and in resolving back-to-back objects from in-line holograms for which cases it is easier to design filter masks in the TCR domain than in the time-frequency domain.

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Matched Representations and Filters for Guided Waves

Cited by 68 publications

References 27 publications

Bayesian geoacoustic inversion of single hydrophone light bulb data using warping dispersion analysis

Bayesian geoacoustic inversion of single hydrophone light bulb data using warping dispersion analysis

Inversion of seabed attenuation using time-warping of close range data

Filtering in the joint time/chirp-rate domain for separation of quadratic and cubic phase chirp signals

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