Spectrum estimation from quantum-limited interferograms

A quantitative model for interferogram data collected in a quantum-limited hyperspectral imaging system is derived. This model accounts for the geometry of the interferometer, the Poisson noise, and the parameterization of the mean of the noise in terms of the autocorrelation function of the incident optical signal. An estimation-theoretic approach to recovering the image spectrum is derived based on the likelihood function for the received data. The computations proposed constitute an alternating minimization algorithm.