Degree of Polarization at Horizontal Transmit: Theory and Applications for Weather Radar

Galletti, Michele; Zrnić, Dúsan S.; Melnikov, Valery; Doviak, Richard J.

doi:10.1109/tgrs.2011.2167516

Cited by 13 publications

(22 citation statements)

References 33 publications

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“…(22) is identical to the PDF in [10], as the real DoP P → 0. Since the eigenvalues of Θ are both zero in rank-0 case, none of the deterministic polarization components exist in radar reception.…”

Section: Pdfs Of the Estimated Degree Of Polarizationmentioning

confidence: 90%

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Polarimetric Target Detection Using Statistic of the Degree of Polarization

Ren¹,

Shi²,

Guo-yu³

2016

PIER M

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Abstract-The degree of polarization (DoP) can be utilized as a detection statistic in the polarimetric radar to achieve target detection performance improvement. In this paper, a polarimetric radar model is established, which includes reflections from both target and clutter at first. Then, probability density functions (PDFs) of the estimated DoP are expressed in closed form, which is derived from joint eigenvalue distributions of complex noncentral Wishart matrices. The detector is developed and evaluated theoretically on the basis of the statistical properties of the DoP. Finally, a comparison between the new DoP detector and single-polarization detector is presented against real data. The performance improvement is demonstrated by the comparison results.

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Section: Pdfs Of the Estimated Degree Of Polarizationmentioning

confidence: 90%

“…It has been demonstrated that the physical meaning of the DoP can always be preserved [9,10]. Furthermore, as an eigenvalue-derived variable, the DoP is independent of the received polarimetric channels chosen to sample the electromagnetic wave.…”

Section: Introductionmentioning

confidence: 99%

Polarimetric Target Detection Using Statistic of the Degree of Polarization

Ren¹,

Shi²,

Guo-yu³

2016

PIER M

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“…We refer to Section II of reference [1]. Weather radars at LDR mode measure the Coherency matrix at horizontal polarization transmit (J H ), a matrix with 4 degrees of freedom.…”

Section: A Ldr Modementioning

confidence: 99%

“…An analytical proof of the robustness of Coherency-matrix eigenvalue-derived variables can be obtained by tedious but simple algebraic computations as shown in [1] for the degree of polarization at horizontal transmit. Analytical modeling of cross-channel coupling is important, since it permits a rigorous proof of the robustness of eigenvalue-derived variables with respect to possible hardware options/radar architectures.…”

Section: B Atsr Modementioning

confidence: 99%

“…Eigenvalue Signal Processing relies on the fact that the eigenvalues of the Coherency matrix J are SU(2) invariant and therefore any coupling in the receive polarization basis does not affect the eigenvalue-derived variables. A rigorous analytical proof of the robustness with respect to cross-channel coupling is provided in [1] for the degree of polarization at horizantal transmit DOP H (indicated with p H in the formulae) and can easily be extended to all eigenvalue-derived variables treated in the present paper. From a more intuitive perspective, the diagonalization of the Coherency matrix can be seen as an alignment between the scatterers (assumed to be vertically aligned because of reflection symmetry imposed by the Earth's gravity field, and therefore characterized by an intrinsic cross-polar correlation coefficient ρ xh equal to zero) and the antenna height spinor (assumed to be slightly tilted from the vertical because of coherent cross-channel coupling and therefore inducing a positive non-zero cross-polar correlation coefficient ρ xh when spherical scatterers like light rain or small ice crystals are illuminated).…”

Section: Introductionmentioning

confidence: 99%

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Eigenvalue signal processing for phased-array weather radar polarimetry: Removing the bias induced by antenna coherent cross-channel coupling

Galletti

Gekat

Goelz³

et al. 2013

2013 IEEE International Symposium on Phased Array Systems and Technology

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We present a novel digital signal processing procedure, named Eigenvalue Signal Processing (henceforth ESP), patented by the first author with Brookhaven Science Associates in 2013. The method enables the removal of antenna coherent cross-channel coupling in weather radar measurements at LDR mode and ATSR mode. In this work we focus on the LDR mode and consider reflectivity at horizontal transmit (Z H ), linear depolarization ratio at horizontal transmit (LDR H ) and degree of polarization at horizontal transmit (DOP H ). The eigenvalue signal processing method is substantiated by an experiment carried out in November 2012 with a parabolic reflector C-band weather radar located at the Selex Systems Integration (SI) facilities in Neuss, Germany. The experiment consists of the comparison of weather radar measurements taken 1.5 minutes apart in two hardware configurations, namely with cross-coupling on (cc_on) and cross-coupling off (cc_off). It is experimentally demonstrated that eigenvalue-derived variables are invariant with respect to antenna cross-channel coupling. This property had to be expected, since the eigenvalues of the Coherency matrix are SU(2) invariant.

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