Dept. of Electrical Engng. & Computer Sci., Univ. of California, Berkeley, CA, USA.

Title

Detection and filtering for two-dimensional random fields.

Source

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.

Date of Publication

1976

Country of Publication

USA.

Conference Information

Clearwater, FL, USA. IEEE. 1-3 Dec. 1976.

Abstract

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).