Discretising Barrick's Equations

Green, J.J.

doi:10.1533/9780857099532.219

Cited by 2 publications

(3 citation statements)

References 26 publications

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“…Howell method [11] views a spectral factor as a constant to linearize the Barrick's equation, yet it is only applicable to the radar of higher frequency. Green method [12], which discretizes the second order equation utilizing the image reconstruction technology, is employed in osmar2009. With the Green method, a large sparsely matrix equation is obtained to inverse the directional spectrum by the ART (Algebraic reconstruction technique) [13].…”

Section: Significant Wave Height Measuringmentioning

confidence: 99%

Remote Sensing With TDMF Radar: Some Preliminary Results

Yan

Wu²,

Chen³

2010

PIER Letters

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Abstract-HF radar in ocean remote sensing makes use of electromagnetic waves of 10 m to 100 m wavelength from the rough sea surface to measure surface current and ocean wave parameter. Recently, a new time division multiple frequency HF radar system called OSMAR2009 has been developed by the Wuhan University. One main advantage of the system is that it is of great help in extracting current parameters and significant wave height. A further advantage is the ability to avoid interference. In addition, this technique offers the opportunity to measure the current shear. These advantages are gained by transmitting time division multiple frequency chirp instead of one frequency chirp. This paper introduces the technical design and the advantage of OSMAR2009 and describes the remote sensing experiment implemented in East China Sea during 2009, followed by the field results and the brief analysis of such results.

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Section: Significant Wave Height Measuringmentioning

confidence: 99%

Remote Sensing With TDMF Radar: Some Preliminary Results

Yan

Wu²,

Chen³

2010

PIER Letters

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“…The Barrick-Weber equations are amenable to linearisation because the signal is dominated by the interaction between long and short ocean waves and the latter can be approximated using wind-wave models (see, for example Wyatt (1986), Lipa and Barrick (1986)). In Green (2003), it is observed that the linearised equation may be viewed, locally, as a weighted projection transform. This leads to a method for discretisation of the linearised equations based on the techniques for that of the general unweighted projection transform, i. e., the discretisation of transmission tomography problems.…”

Section: Introductionmentioning

confidence: 99%

“…In this section we describe the inversion method used for the linearised Barrick-Weber equations. We begin with as full a summary of the functional representation and discretisation as is required to introduce our notation; a more detailed account can be found in Green (2003).…”

Section: Introductionmentioning

confidence: 99%

Row-Action Inversion of the Barrick–Weber Equations

Green

Wyatt

2006

Journal of Atmospheric and Oceanic Technology

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The Barrick–Weber equations describe the interaction of radar signals with the dynamic ocean surface, and so provide a mathematical basis for oceanic remote sensing. This report considers the inversion of these equations with several of the row-action methods commonly used to solve large linear systems with unstructured sparsity. It is found that the performance of the methods in inverting both synthetic and measured Doppler spectral data is comparable, with the method of Chahine–Twomey–Wyatt offering a slight advantage in the reliability of the recovery of the full directional wave spectrum and of parameters derived from its integration. Some remarks and open questions on the ill-posedness of the inversion problem conclude the paper.

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Discretising Barrick's Equations

Cited by 2 publications

References 26 publications

Remote Sensing With TDMF Radar: Some Preliminary Results

Remote Sensing With TDMF Radar: Some Preliminary Results

Row-Action Inversion of the Barrick–Weber Equations

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