Linguistic Description of Circuits and its Application for Symbolic Circuit Analysis.

为了用计算机分析电路，有必要以某种方式描述电路。在数字电路的情况下，这对应于对电路中的每个节点进行编号并生成它们的系数矩阵。得到系数矩阵后，就可以确定节点的可计算排序，进行时域仿真。这种仿真可以方便地计算脉冲响应和任意节点之间的传递函数。为了得到这些系数矩阵，可以建议直接从电路中得到它们。然而，在这种情况下，不可能通过将一个大规模电路划分成一些子电路来管理它，并且可以预料会有粗心的描述错误。考虑到这几点，一般采用对每个电路元件的列举式描述。该方法在模拟电路的代表性分析程序Spice中得到了应用。这种描述方法简单明了，因为它简单地枚举所连接元素的节点编号和元素值。但是，要对所有节点的数目和电路参数进行全面的管理，需要耗费大量的时间。在本文中，我们提出了一种新的方法，将电路描述为一种语言，而不是简单地列举连接数据。通过该方法，可以将整个电路描述为一个主电路和一些子电路的互连，并且可以将主电路作为有序过程语言的一个主程序，将每个子电路作为一个子程序。此时，各子电路中的节点可由系统自动命名和编号，无需用户管理。在该方法中，通过使用大量的指令和子电路的递归调用，期望有效地描述电路。在设计模拟电路时，很少使用时变元件。相反，在数字电路中，可以很容易地构建改变乘法器系数的自适应信号处理系统。为了便于对这些自适应电路进行仿真，所提出的描述方法可以对每个子电路的乘法器系数进行独立管理。少

In order to analyze a circuit by using computers, it is necessary to describe the circuit in some way. In the case of digital circuits, this corresponds to numbering each node in the circuits and generating their coefficient matrixes. After the coefficient matrixes are obtained, the computable ordering of nodes can be decided for the time domain simulation. Such simulation can easily calculate the impulse responses and the transfer function between arbitrary nodes.In order to obtain these coefficient matrixes, it may be suggested that they are made directly from the circuit. In this case, however, it is impossible to manage a large-scale circuit by dividing it into some sub-circuits, and it is expected that there are careless mistakes of description. Considering these points, the enumerative description of each circuit element is generally used. This method is adopted in Spice that is a representative analyzing program of analog circuits. This description method is simple and plain bec … More ause it simply enumerates nodes' numbers to which elements are connected and the element values. However, it costs the users much time to manage all of the nodes' numbers and the circuit parameters completely.In this paper, we propose a novel method to describe circuits as a kind of language instead of simply enumerating data of connections. By the proposed method, it is possible to describe a whole circuit as interconnections of a main circuit and some sub-circuits, and to deal the main circuit as a main routine of ordinal procedural languages and each sub-circuit as a sub-routine. At that time, nodes in each sub-circuit can be named independently and numbered automatically by the system without users' management. In the proposed method, an effective description of circuits is expected by using a lot of instructions and recursive calls of sub-circuits.In the case of designing analog circuits, time varying elements are rarely used. On the contrary, in the case of digital circuits, the adaptive signal processing systems that vary the coefficients of multipliers can be easily constructed. For easy simulation of these adaptive circuits, independent management of the multiplier coefficients of each sub-circuit is available in the proposed description method. Less