Deconvolution in the Presence of Noise Using the Maximum Entropy Principle

Abstract

The main problem in deconvolution in the presence of noise is non-uniqueness. This problem is overcome in the present work by the application of the maximum entropy principle. The way in which noise enters the formulation of the problem is examined in some detail and the final equations are derived in such a way that the various assumptions are made explicit. Some examples of the use of maximum entropy deconvolution on both simulated and real X-ray diffraction data are given.