Modulated polarimeter operators in the presence of stochastic signals

Modulated imaging Stokes polarimeters require processing of acquired data to produce an estimate of the Stokes parameters from the scene. The total polarimeter operator describes the estimation of the Stokes parameters from the incident fields from the scene through reconstruction. In this discussion will shall consider the polarimeter being applied to an application where the spectral density matrix of the scene Stokes parameters and detector noise are known. The spectral density matrix of the estimated Stokes parameters is found using the known spectral density matrix of the scene to find the response of the operator to signal fluctuations. This analysis grants the ability to optimize the operator for a given application. We demonstrate an optimization of system processing algorithm that takes inspiration from the classical Wiener filter.