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The methods of parametric information theory are used to study the minimal variance boundaries of polarization parameters estimates of partially polarized quasi-monochromatic radiation in a polarimetric scheme with an analyzer and a phase compensator under conditions of additive-multiplicative normal noise. The density distributions of information on the Stokes parameters in the coordinates of the angle of rotation of the analyzer and the phase shift of the compensator are shown. The analysis of these distributions allows finding the most favorable measurement plans in metrological relation. Matrix variance boundaries of different polarization parameters for the uniform plan and other measurement plans are calculated. The error limits of the estimates of the degree of polarization are calculated. The results of the analysis are confirmed by numerical simulation. The patterns of the distributions of the variance bound estimates of the degree of polarization on the Poincare sphere are given. With the help of the developed technique based on the parametric information theory, it is possible to study estimates of any polarization parameters: azimuth, ellipticity and others. The results of this study can be used to optimize signal processing algorithms and improve the efficiency of optoelectronic devices and systems of a wide profile.

Visualization of the variance boundaries for the polarization parameters of light on the Poincare sphere