摘要
含有多重极点的有理真分式展开为部分分式，不需要计算低阶导数。列出被求函数的各阶导数的关系式，画出各阶导数作为节点的信号流图。该图无环路，既直观表现出各高阶导数的相互关系及影响的单向性，也使求节点增益的梅森公式特别简便。该方法将求高阶导数问题简化为代数运算。
Listing the expressions of all the derivatives of the function and drawing the signal flow graph with the nodes as its derivatives,the rational proper function with poles of multiple order can be expanded as a partial fraction with no need for its lower order derivatives. This graph has no loop and can display directly the relations of its higher order derivatives and the one way property of its effect.The method simplifies the Mason′s formula to obtain the nodes′ gain and turn the problem to deduce the higher order derivatives into one of algebraic algorithm.Hence it is suitable for the draw up of the computer procedure.
关键词
有理真公式
信号流图
梅森公式
信号处理
Rational proper function
Partial fraction
Linear fraction
Signal flow graph
Mason′s formula.
