具有离散参数齐次随机场的线性预测(XI)

Linear Prediction Theory of a Homogeneous Random Field with Discrete Parameters(XI)

本文提出和研究了一般的斜半平面和角形区域的具有离散参数齐次随机场的线性预测问题 ,求出了它们的预测值与预测误差 ,分别推广了 [2 ],[3],[4\〗的结果 .

In this paper, four types of linear prediction are discussed: 1. T={(m,n),-∞<m,n<∞,n>θm};T′={(m′,n′),-∞<m′,n′<∞,n′≤θm′}. 2. T={(m,n),-∞<m,n<∞,θn>m};T′={(m′,n′),-∞<m′,n′<∞,θn′≤m′}. In 1,2, the θ is a constant and integral. 3. T′={(m′,n′),0≤m,n′<∞,n′≤θm′};T is the complementary set of T′. 4. T′={(m′,n′),0≤m′,n′<∞,θn′≤m′}; T is the complementary set of T′. In 3,4, the θ≥0 and it is a constant and integral.