Generate AR1 spatial data script download - Generate AR1 spatial data Generate AR1 spatial data generates spatial data using an AR1 pr

Generate AR1 spatial data generates spatial data using an AR1 process with normal error distribution. 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: · MATLAB Release: R13

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