On two-dimensional maximum entropy spectral estimation

A novel method of two-dimensional spectral estimation, which the authors introduced recently (1987) using the Radon transform and a one-dimensional autoregressive model (AR), led them to investigate the maximization of entropy subject to the correlation matching constraints in the Radon space. Instead of solving the 2D maximum entropy (ME) spectral estimation problem, the authors convert it into a problem which is easier to solve. It is shown that a radial slice of the 2D ME spectrum can be obtained by 1D 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 2D ME spectra on a polar raster are discussed.<
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