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Accession Number 001051649 Wong E. Dept. of Electrical Engng. & Computer Sci., Univ. of California, Berkeley, CA, USA. Detection and filtering for two-dimensional random fields. Proceedings of the 1976 IEEE Conference on Decision and Control including the 15th Symposium on Adaptive Processes. IEEE. 1976, pp.591-5. New York, NY, USA. 1976 USA. Clearwater, FL, USA. IEEE. 1-3 Dec. 1976. Considers the following model: Suppose that a two dimensional random field xi (t/sub 1/,t/sub 2/) is observed on a rectangle 0[left angle bracket]or=t/sub 1/[left angle bracket]or=T/sub 1/, O[left angle bracket]or=t/sub 2/[left angle bracket]or=T/sub 2/. It is assumed that the observation consists of a signal x(t/sub 1/,t/sub 2/) plus an additive white Gaussian noise, i.e., xi (t/sub 1/,t/sub 2/)=x(t/sub 1/,t/sub 2/)+n(t/sub 1/,t/sub 2/) where eta is a white Gaussian noise. The following two problems are considered. (a) What is the likelihood ratio as a function of the observation with respect to the situation where xi is itself a white Gaussian noise? (b) For what models of the signal x will recursive filtering be possible? What is the nature of recursion in this case, and what are the resulting formulas? The results which have been obtained to date on the two problems of detection and filtering stated above are summarised. (29 References). B77019828; C77011918 Filtering and prediction theory. Random processes. Stochastic processes. two dimensional random field; white Gaussian noise; likelihood ratio; recursive filtering; detection. Probability and statistics [B0240]; Signal processing and detection [B6140]; Game theory [C1140E]; Information theory [C1260]. General or Review. English. Conference Paper. 197700.

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