The Separatability of 2-D Linear Shift-Invariant Discrete Systems
2-D常系数线性离散系统可分性判定

In this paper, the problem of testing the separability of 2 D linear shift invariant discrete systems is discussed. On the basis of the existing results obtained by the authors, several new numerical and algebraic criteria are proposed in this paper. Here, the numerical criterion is both sufficient and necessary, while the algebraic criterion is only necessary. These results are beneficial for improving the theory of 2 D systems, and the improvements are, as far as we know, best in this field.