  The result of 2-dimensional Gaussian lattice fit to a speckle intensity
pattern based on a linear model that includes nearest-neighbor interactions is
presented. We also include a Monte Carlo simulation of the same spatial speckle
pattern that takes the nearest-neighbor interactions into account. These
nearest-neighbor interactions lead to a spatial variance structure on the
lattice. The resulting spatial pattern fluctuates in value from point to point
in a manner characteristic of a stationary stochastic process. The value at a
lattice point in the simulation is interpreted as an inten-sity level and the
difference in values in neighboring cells produces a fluctuating intensity
pattern on the lattice. Changing the size of the mesh changes the relative size
of the speckles. Increasing the mesh size tends to average out the intensity in
the direction of the mean of the stationary process.
