—RC Dorf and RH Bishop, Modern Control Systems, Chapter 2, p. 2
在上述程中,物理系统的数学模型方程可以用来推导信号流图方程。
用在设计合成的信号流图
信号流图也用在设计空间探索(英语:SDesign Space Exploration)(DSE),一个趋近实际呈现的过渡表示方式。设计空间探索会在许多不同的选项中找一个适合的解。典型的分析流程会先针对待确认的系统,以其各元件的物理方程式来建模。设计空间探索不同,其设计合成的规格是想要的传递函数。例如,不同的策略会产生不同的信号流图,可由此推导出对应的实现方式[16]。
另一个使用有说明的信号流图的例子是连续时间行为的表示方式,作为架构生成器的输入[17]。
香农公式(Shannon's formula)是计算类比电脑中互联放大器增益的解析表示法。在二次大战时,香农在探就类比电脑的功能运作时,发展了香农公式。因为战争期间的限制,香农当时没有发表他的研究。塞缪尔·杰斐逊·梅森(英语:Samuel Jefferson Mason)在1952年重新发现了相同的公式。
CE Shannon. The theory and design of linear differential equation machines. Fire Control of the US National Defense Research Committee: Report 411, Section D-2. January 1942. Reprinted in N. J. A. Sloane; Aaron D. Wyner (编). Claude E. Shannon: Collected Papers. Wiley IEEE Press. 1993: 514 [2017-10-21]. ISBN 978-0-7803-0434-5. (原始内容存档于2019-07-23).
Mason, Samuel J. Feedback Theory - Some Properties of Signal Flow Graphs(PDF). Proceedings of the IRE. September 1953, 41: 1144–1156 [2017-10-21]. doi:10.1109/jrproc.1953.274449. (原始内容存档(PDF)于2018-02-19). The flow graph may be interpreted as a signal transmission system in which each node is a tiny repeater station. The station receives signals via the incoming branches, combines the information in some manner, and then transmits the results along each outgoing branch.
"A signal flow graph may be regarded as a simplified version of a block diagram. ... for cause and effect ... of linear systems ...we may regard the signal-flow graphs to be constrained by more rigid mathematical rules, whereas the usage of the block-diagram notation is less stringent." Kuo, Benjamin C. Automatic Control Systems 6th. Prentice-Hall. 1991: 77. ISBN 0-13-051046-7.
V.U.Bakshi U.A.Bakshi. Table 5.6: Comparison of block diagram and signal flow graph methods. Control Engineering. Technical Publications. 2007: 120 [2017-11-23]. ISBN 9788184312935. (原始内容存档于2019-07-25).
A Anand Kumar. Table: Comparison of block diagram and signal flow methods. Control Systems 2nd. PHI Learning Pvt. Ltd. 2014: 165 [2017-11-23]. ISBN 9788120349391. (原始内容存档于2019-07-23).
Okrent, Howard; McNamee, Lawrence P. 3. 3 Flowgraph Theory. NASAP-70 User's and Programmer's manual(PDF). Los Angeles, California: School of Engineering and Applied Science, University of California at Los Angeles. 1970: 3–9 [2017-11-23]. (原始内容存档(PDF)于2020-07-28).
。例如:Baran, Thomas A.; Oppenhiem, Alan V., INVERSION OF NONLINEAR AND TIME-VARYING SYSTEMS, Digital Signal Processing Workshop and IEEE Signal Processing Education Workshop (DSP/SPE), IEEE, 2011, doi:10.1109/DSP-SPE.2011.5739226
BRZOZOWSKI, J.A.; McCLUSKEY, E. J. Signal Flow Graph Techniques for Sequential Circuit State Diagrams. IEEE Transactions on Electronic Computers. IEEE. 1963: 97.
Happ, William W. Goldberg, M. F. , 编. Application of flowgraph techniques to the solution of reliability problems. Physics of Failure in Electronics (Washington, D. C.: Dept. of Commerce, Office of Technical Services). 1964, (AD434/329): 375–423. doi:10.1109/IRPS.1963.362257.
(Robichaud 1962,chapter 5 Direct Simulation on Analog Computers Through Signal Flow Graphs) harv error: no target: CITEREFRobichaud1962 (help)
Robichaud, Louis P.A.; Maurice Boisvert; Jean Robert. Signal flow graphs and applications. Englewood Cliffs, N.J.: Prentice Hall. 1962: xiv, 214 p. [2017-10-31]. (原始内容存档于2019-03-13).
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