具有离散参数齐次随机场的线性预测及渐近性质

THE LINEAR PREDICTION AND ITS ASYMPTOTIC BEHAVIOR OF A HOMOGENEOUS RANDOM FIELD WIFH DISCRETE PARAMETERS

本文研究线性预测问题9(N,M)及11(N,M),并讨论了它们的渐近性质.

In this paper,linear prediction of two types are discussed: (1)T={(m,n),-∞<m<∞,n=n_i<0,i=1,2,…,N}U{(m,n),-∞<m<∞, n=l_j>0,j=1,2,…,M(if M=0,we must omit this set)}U{m,0),m≤-1};T'- {(m,0),m=0,1,2,…} (2)T={(m,n),-∞<m<∞,n=n_i<0,i=1,2,…,N}U{(m,n)n-∞<m<∞, n=l_j>0,j==1,2,…,M(if M=0,we must omit this set)}U{(m,0),m=±1,±2,…, m(?)0};T'={(0,0)}. The asymptotie behavior is discussed.