Title :
Statistical Properties of the Estimated Degree of Polarization
Author :
Medkour, T. ; Walden, Andrew T.
Author_Institution :
Imperial Coll. London, London
Abstract :
We derive important and useful new statistical properties of the estimated degree of polarization in the two-dimensional case. We find its distribution function and show how it may be used to construct confidence intervals. We also find an expression for any moment of the distribution, and derive an exact unbiasing formula for the estimator of the squared coefficient. Further we discuss a test for partial polarization. Our statistical analyses enable identification of elliptical polarization for an ultra low frequency wave in the solar magnetic field.
Keywords :
eigenvalues and eigenfunctions; electromagnetic wave polarisation; confidence intervals; cumulative distribution; distribution function; elliptical polarization; estimated degree of polarization; partial polarization; solar magnetic field; spectrum estimation; Covariance matrix; Distribution functions; Eigenvalues and eigenfunctions; Frequency estimation; Magnetic fields; Optical polarization; Radar scattering; Spectral analysis; Statistical analysis; Testing; Confidence intervals; cumulative distribution; degree of polarization; moments; spectrum estimation;
Journal_Title :
Signal Processing, IEEE Transactions on
DOI :
10.1109/TSP.2007.906767
