Information Theoretic Bounds for Determining Optimum Aberration Strengths for Various Diversity Polynomials and Noise Statistics for Phase Diversity

摘要

In this paper, we will study the optimum bounds for various diversity polynomials. For the Poisson or Gaussian noise cases studied, we have found that the optimum bound for extended scenes does not depend on the nature of the noise statistics. There is a slight dependence of optimum diversity for point sources, however. We will show, further, that the bound for Gaussian noise sources is larger than that for Poisson noise for large scenes. This behavior is reversed for point sources.