Estimating Polarization Purity With Noise

Kostinski, Alexander; Kestner, Daniel; Vivekanandan, Jothiram

doi:10.1109/TGRS.2024.3380531

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i

Estimating Polarization Purity With Noise

2024
By Kostinski, Alexander ; Kestner, Daniel ; Vivekanandan, Jothiram
Source: IEEE Transactions on Geoscience and Remote Sensing, vol. 62, pp. 1-10, 2024, Art no. 2003610

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Journal Title:

IEEE Transactions on Geoscience and Remote Sensing
Personal Author:

Kostinski, Alexander ; Kestner, Daniel ; Vivekanandan, Jothiram

Kostinski, Alexander ; Kestner, Daniel ; Vivekanandan, Jothiram Less -
NOAA Program & Office:

OAR (Oceanic and Atmospheric Research)
Description:

We formulate a problem of estimating and monitoring mismatch (unwanted departure from orthogonality) of two ostensibly orthogonal polarization channels in a fully polarimetric general device such as a polarimetric weather radar. A statistical approach is proposed by using thermal noise or, more generally, a “polarimetric noise” class of sources. The suitable noise class of distributions is shown to be rooted in the complex multivariate Gaussian probability density function (pdf), the latter possessing a uniform pdf on the Poincare sphere (PS), with a probability measure given by a fractional surface area. To that end, we develop a parameter to estimate polarization purity. By relating an inner (dot) product of noisy electric fields to their cross-correlation coefficient, we arrive at a simple relation between the ellipticity δϵ and tilt δτ mismatches and the measured complex voltage cross-correlation coefficient ρ : ρ≈∓cos(2ϵ)δτ±iδϵ . Our results are confirmed by Monte Carlo simulations. Thermal noise microwave data collected by the S-band radar of the National Center for Atmospheric Research (NCAR) during solar calibration scans is used to set bounds on δϵ and δτ , thereby characterizing polarization purity.
Keywords:

[+]

Calibration Noise Polarimetry Radar Voltage Measurement Imbalance Meteorological Radar Radar Polarimetry Receivers VectorsThermal Noise;Imbalance;noise;polarimetry;radar
Source:

IEEE Transactions on Geoscience and Remote Sensing, vol. 62, pp. 1-10, 2024, Art no. 2003610
DOI:

https://doi.org/10.1109/TGRS.2024.3380531
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Journal Article
Funding:

Grant no. NA18OAR4590431
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https://creativecommons.org/licenses/by-nc-nd/4.0/
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CC BY-NC-ND
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Submitted
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urn:sha-512:e89996d4ad77c3af1a66eaa80113f8549a50bb045ecf87a9784b0673f6fcd6ca1433ba44d3146af25099b9c45f7a432c2a2dd336aaabd819d8ba2bfc34527f8f
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Estimating Polarization Purity With Noise

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