A method for realizing separable-denominator two-dimensional transfer function matrices

A. Kawakami
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Abstract

We propose a method for realizing separable-denominator two-dimensional transfer function matrices (2DTFM), and we present an upper bound of the realization dimension. Moreover, we suggest that, in the case that the input number is equal to the output number, it is possible that it can be realized with a minimal dimension with respect to both of the two variables. Also, we present two types of state-space realization form. They can be directly obtained from each coefficient of the separable-denominator 2DTFM.
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实现可分分母二维传递函数矩阵的方法
提出了一种可分分母二维传递函数矩阵(2DTFM)的实现方法,给出了实现维数的上界。此外,我们认为,在输入数等于输出数的情况下,对于这两个变量,有可能用最小的维数来实现。并提出了两种状态空间实现形式。它们可以直接从可分分母2DTFM的每个系数中得到。
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