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An efficient maximum entropy technique for 2-D isotropic random fields

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3 Author(s)
Tewfik, A.H. ; Dept. of Electr. Eng. & Comput. Sci., MIT, Cambridge, MA, USA ; Levy, B.C. ; Willsky, A.S.

A novel linear maximum-entropy method (MEM) spectral-estimation algorithm for 2-D isotropic random fields is presented. This procedure differs from pervious 2-D MEM algorithms by the fact that maximum advantage is taken of the symmetries implied by isotropy. It is shown that the isotropic MEM problem has a linear solution and that it is equivalent to the problem of constructing the optimal linear filter for estimating the underlying isotropic field at a point on the boundary of a disk of radius R, given noisy measurements of the field inside the disk. A fast algorithm for computing the estimation filter is then used to obtain the MEM spectral estimate

Published in:

Acoustics, Speech, and Signal Processing, 1988. ICASSP-88., 1988 International Conference on

Date of Conference:

11-14 Apr 1988