A computer based method for computing the N-dimensional generalized ABCD parameter matrices of N-dimensional systems with distributed parameters

A computer based method for computing the N-dimensional generalized ABCD parameter matrices of N-dimensional systems with distributed parameters
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DOI:
10.1109/ssst.1990.138213
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发表时间:
1990-03
期刊:
[1990] Proceedings. The Twenty-Second Southeastern Symposium on System Theory
影响因子:
--
通讯作者:
A. Bhatti
A. Bhatti
中科院分区:
其他
文献类型:
--
作者:
A. Bhatti

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本文提出了一种在瞬态和稳态情况下求解N维分布参数传输线网络或通信电路的N维矩阵网络的方法。该方法利用Cayley-Hamilton定理计算双曲N维广义ABCD参数矩阵的有限项,这是求解N维矩阵网络的基础。复矩阵的平方根函数也用有限项计算。因此,矩阵的截断被消除。该方法对于N维不平衡耦合分布参数系统的故障分析是非常有用的。
The author presents a method for developing and solving, both in transient and steady state, the N-dimensional matrix networks of N-dimensional transmission line networks or communication circuits with distributed parameters. The method uses the Cayley-Hamilton theorem to compute the hyperbolic N-dimensional generalized ABCD parameter matrices with finite terms, which are fundamental to the solution of N-dimensional matrix networks. The square root function of a complex matrix is also computed with finite terms. As a result, truncation of matrices is eliminated. The method is extremely useful in the fault analysis of N-dimensional unbalanced coupled systems with distributed parameters.>