The Euler decomposition and its application to sea clutter analysis

Dong, Yunhan; Crisp, David J.

doi:10.1109/radar.2008.4653905

Cited by 2 publications

(3 citation statements)

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“…For φ, we used the value of ρ determined from Equation 20 in Dong and Crisp. 6 We find that the Stokes parameter ψ of the Stokes eigenvector determined for each Stokes matrix is identical to ρ for all the data we analyzed. It is straightforward to show that …”

Section: Euler Decompositionmentioning

confidence: 63%

“…6 The deviations from the √ 2 relationship above 1.01 for R result from χ values greater than 6.5 o .…”

Section: Euler Decompositionmentioning

confidence: 98%

“…Utilizing the Euler decomposition analysis pioneered by Huynen 4 and followed by Baird 5 and Dong and Crisp, 6 we performed similarity transformations on the Sinclair matrix in two stages. The initial transformation is…”

Section: Euler Decompositionmentioning

confidence: 99%

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Phenomenology of fully polarimetric imaging radars

Geaga¹

2011

SPIE Proceedings

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We have previously reported on the analysis of fully polarimetric single look and multilook SIR-C data. We have reported that the Stokes(Kennaugh) matrices for each pixel have one and only one eigenvector that satisfies the property of a Stokes Vector. We now report on new analysis of fully polarimetric SIR-C data and ISAR data from the Submillimeter-Wave Technology Laboratory at the University of Massachussetts Lowell which shows that the remaining three eigenvectors of the Stokes matrix are quaternions which represent rotations. Furthermore, the three direction vectors of these quaternions form an orthogonal cartesian set of axes. We also discuss relationships between the angles of the Stokes Vector with the Euler parameters initially proposed by Huynen.

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Section: Euler Decompositionmentioning

confidence: 63%

“…6 The deviations from the √ 2 relationship above 1.01 for R result from χ values greater than 6.5 o .…”

Section: Euler Decompositionmentioning

confidence: 98%