Generate AR1 spatial data 1.0

This script generates artificial spatial data using a first order spatial autoregressive process (AR1)The process isX(i,j) = PHI*(X(i,j-1)+X(i,j+1)+X(i-1,j)+X(i+1,j) + errorTo generate a 10x10, periodic spatial pattern, with normal error distribution, and a variance of SIGMA, the command isspatialPatternAR1([10,10],PHI,SIGMA)or equivalently,spatialPatternAR1([10,10],PHI,SIGMA,1)the same pattern, but with a rigid boundary is generated withspatialPatternAR1([10,10],PHI,SIGMA,0)Different error distributions can be used. Using the current script this can be done by extracting the generator matrix, MM = spatialPatternAR1([10,10],PHI,SIGMA,1,1)M is a 100x100 matrix.Then given a random vector, error (size = 100x1) with indepedent elements sampled from the required error distribution, the spatial pattern is given byx = reshape(M * error,[10,10])

Requirements:	No special requirements
Platforms:	Matlab
Keyword:	100x100,  Boundary,  Current,  Distributions,  Extracting,  Generated,  Generator,  Matrix
Users rating:	0/10