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Line 15: </ref> in dealing with analog computers. The greatest credit for the formulation of signal-flow graphs is normally extended to [[Samuel Jefferson Mason\|Mason]] [1953],<ref name=Mason> {{cite journal\|last=Mason\|first=Samuel J. ~~\|date=September 1953~~\|title=Feedback Theory - Some Properties of Signal Flow Graphs \|journal=Proceedings of the IRE \|date=September 1953 \|pages=1144–1156 \|doi=10.1109/jrproc.1953.274449 \|url=http://ecee.colorado.edu/~ecen5014/Mason-IRE-1953.pdf \|quote=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. \|volume=41\|issue=9 \|s2cid=17565263 }} </ref> [1956].<ref name=Mason2> {{cite journal \|title=Feedback Theory-Further Properties of Signal Flow Graphs \|author=SJ Mason \|doi=10.1109/JRPROC.1956.275147 \|date=July 1956 \|volume=44 \|issue=7 \|journal=Proceedings of the IRE \|pages=920–926 \|hdl=1721.1/4778 \|s2cid=18184015 \|hdl-access=free }} On-line version found at [http://dspace.mit.edu/bitstream/handle/1721.1/4778/RLE-TR-303-15342712.pdf?sequence=1 MIT Research Laboratory of Electronics]. Line 231: ==== Implementations ==== The above procedure for building the SFG from an acausal system of equations and for solving the SFG's gains have been implemented<ref>Labrèche P., [https://www.researchgate.net/publication/266391592_1977_Labreche_-_LINEAR_ELECTRICAL_CIRCUITS_SYMBOLIC_NETWORK_ANALYSIS presentation: Linear Electrical Circuits:Symbolic Network Analysis], 1977.</ref> as an add-on to [[MATHLAB 68]],<ref>~~[[Carl~~{{cite ~~Engelman]],~~book ~~'''~~\| chapter-url=http://dl.acm.org/citation.cfm?id=806265 \| doi=10.1145/800204.806265 \| chapter=The legacy of MATHLAB 68~~''',~~ ~~published in Proceeding SYMSAC '71~~\| title=Proceedings of the second ACM symposium on Symbolic and algebraic manipulation, ~~pages 29~~-41 SYMSAC ~~[http://dl.acm.org/citation.cfm?id~~'71 \| date=~~806265]~~1971 \| last1=Engelman \| first1=Carl \| pages=29–41 \| isbn=978-1-4503-7786-7 }}</ref> an on-line [[Computer algebra system\|system providing machine aid for the mechanical symbolic processes encountered in analysis]]. === Solving linear equations ===

Signal-flow graph: Difference between revisions