On Two-Dimensional Maximum Entropy Spectral Estimation

Abstract

A novel method of two-dimensional (2-D) spectral estimation, which we introduced recently using the Radon transform and a one dimensional (1-D) autoregressive model, led us to investigate the maximization of entropy subject to the correlation matching constraints in the Radon space. Instead of solving the 2-D maximum entropy spectral estimation problem, we convert it into a problem which is easier to solve. It is shown that a radial slice of the 2-D ME spectrum can be obtained by 1-D AR modeling of the projections (Radon transform) of a stationary random field (SRF). The advantages and limitations of using this new duality relation to estimate the complete 2-D ME spectra on a polar raster are discussed