Compact form of Mason's gain formula for signal flow graphs

V. C. Prasad

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Compact form of Mason's gain formula for signal flow graphs

机译：用于信号流图的梅森增益公式的紧凑形式

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Mason's gain formula requires combining all paths and all loops judiciously. New techniques are presented in this paper to do this. All possible non-touching loop combinations can be generated systematically and represented compactly using a tree structure and/or factoring technique. Both numerator and denominator of the formula can be treated identically. The approach is simple enough to be used in teaching students Mason's gain formula as part of courses in control systems, digital signal processing, graph theory and applications, among others.

机译：梅森的增益公式要求明智地组合所有路径和所有回路。本文提出了新技术来做到这一点。使用树结构和/或分解技术，可以系统地生成所有可能的非触摸循环组合，并紧凑地表示它们。公式的分子和分母都可以相同地对待。该方法非常简单，可用于在控制系统，数字信号处理，图形理论和应用等课程中向学生教授梅森的增益公式。

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来源
《International Journal of Electrical Engineering Education》 |2010年第4期|p.393-403|共11页
作者
V. C. Prasad;
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作者单位

Faculty of Engineering and Technology, Multimedia University, Melaka, Malaysia;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
linear systems; mason's gain formula; signal flow graphs;

机译：线性系统;梅森的增益公式;信号流图;

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机译：用于信号流图的梅森增益公式的紧凑形式
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机译：用户手册使用masON：一个频率响应程序，处理信号流图描述的传递函数系统

Compact form of Mason's gain formula for signal flow graphs

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