Feedback Theory-Further Properties of Signal Flow Graphs

Mason, S. J.

doi:10.1109/jrproc.1956.275147

Cited by 609 publications

(211 citation statements)

References 2 publications

Supporting

Mentioning

201

Contrasting

Unclassified

Order By: Relevance

“…Equation (2) could now be solved by matrix manipulations, but Mason showed a better way in [7]: A transfer function from a node u to a node z can be calculated as…”

Section: Signal-flow Graphs and Mason's Gain Rulementioning

confidence: 99%

“…The DPSFG was introduced in 1998 [5] when Ochoa combined driving-point impedance techniques with Mason signal-flow graphs (SFGs) [6,7]. Ochoa used auxiliary voltage generators (which we call auxiliary voltage sources or aux sources) and explained the SFG derivation by first splitting schematics into sub-circuits and then coupling the sub-circuits with voltage-controlled current sources.…”

Section: Introductionmentioning

confidence: 99%

“…This way of explaining the method followed closely Mason's original idea to use SFGs because they ''offer a visual structure, a universal graph language, a common ground upon which causal relationships among a number of variables may be laid out and compared [7]''. The one-to-one correspondence between circuit and graph also made it straightforward to derive transposed circuits, as shown in [8].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Analysis of switched-capacitor circuits using driving-point signal-flow graphs

Schmid

Huber

2018

Analog Integr Circ Sig Process

View full text Add to dashboard Cite

This paper extends the driving-point signal-flow graphs to switched-capacitor (SC) circuits by introducing a new theoretical element: an auxiliary voltage source that transfers no charge. In contrast to existing SFG methods, our method has no restrictions as to what types of SC circuits can be analysed, it requires no equivalent circuits or tables, and it works with two-phase as well as multi-phase SC circuits of any complexity. Compared to charge-equation matrix methods, it requires more effort, but is better suited for hand analysis because it makes causal relationships visible. Three illustrative examples are given to show the efficiency of the method and present a few application hints: a voltage doubler, the standard SC integrator, and a four-phase circuit simulating an inductor.

show abstract

“…Equation (2) could now be solved by matrix manipulations, but Mason showed a better way in [7]: A transfer function from a node u to a node z can be calculated as…”

Section: Signal-flow Graphs and Mason's Gain Rulementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Analysis of switched-capacitor circuits using driving-point signal-flow graphs

Schmid

Huber

2018

Analog Integr Circ Sig Process

View full text Add to dashboard Cite

show abstract

“…We refer to the two graphs, having the above relationship, as transposed. Recall, that the rules by which we can construct the transposed SFG are: (i) change the direction of every branch in the SFG, while keeping the branch transmittances; (ii) make a mirror of the graph; (iii) exchange input and output nodes [2] [3].…”

Section: Direct Realizations Of Gp Sectionsmentioning

confidence: 99%

“…Because of their easy implementation, a lot of well-known filter topologies tend to be converted into circuits having integrators and appropriate connections between them. Very effective tool used in the analysis and design of such filters is a signal-flow-graph (SFG) representation [2] [3]. It enables a straightforward analysis, synthesis and, finally, an optimisation procedure.…”

Section: Introductionmentioning

confidence: 99%

General Purpose Biquads Optimized for Dynamic Range and Low Noise

Jurisic

Mijat

Mihalic³

MELECON 2006 - 2006 IEEE Mediterranean Electrotechnical Conference

View full text Add to dashboard Cite

Abstract-In this paper two general-purpose (GP) biquadratic filters are analyzed and optimized. The design equations for both filters are given, and the methods used to optimize the dynamic range and reduce the noise are described. On one example of the 2 nd -order Butterworth filter, PSpice analyses were carried out, and a comparison of noise, referred to the input, is given. The dynamic range is optimized such as to have the same signal level at each amplifier output. Both optimization procedures are highly effective and can be applied to the similar filter design problems.

show abstract

Analytical solution for frequency response of equipment in laterally loaded multistorey buildings

Hsueh

1999

Earthquake Engng. Struct. Dyn.

View full text Add to dashboard Cite

SUMMARYAn analytical and closed-form frequency response of equipment mounted on multistorey buildings subjected to horizontal ground motion is proposed. In this study, the dynamics of the equipment and the building is expressed as a state-#ow graph model, in which the interaction e!ect between the equipment and the building is considered. Based on the graph model, the analytical results for the frequency response of the acceleration of the equipment and the internal force in the support are derived. One of the advantages of this method is that the closed-form solutions of the frequency response expressed by polynomial form will be easily examined by analytical and numerical computations without complex operation. Moreover, the dynamic of the primary and secondary systems and their dynamic interaction are expressed separately in the derived formula. Thus most of the items in the formula need not be computed repeatedly for di!erent supports of the equipment in design.

show abstract

Feedback Theory-Further Properties of Signal Flow Graphs

Abstract: PRINTED IN THE U.S.A.

Cited by 609 publications

References 2 publications

Analysis of switched-capacitor circuits using driving-point signal-flow graphs

Analysis of switched-capacitor circuits using driving-point signal-flow graphs

General Purpose Biquads Optimized for Dynamic Range and Low Noise

Analytical solution for frequency response of equipment in laterally loaded multistorey buildings

Contact Info

Product

Resources

About