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  2. Signal-flow graph - Wikipedia

    en.wikipedia.org/wiki/Signal-flow_graph

    A signal-flow graph or signal-flowgraph (SFG), invented by Claude Shannon, [1] but often called a Mason graph after Samuel Jefferson Mason who coined the term, [2] is a specialized flow graph, a directed graph in which nodes represent system variables, and branches (edges, arcs, or arrows) represent functional connections between pairs of nodes.

  3. Flow graph (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Flow_graph_(mathematics)

    An example of a signal-flow graph Flow graph for three simultaneous equations. The edges incident on each node are colored differently just for emphasis. An example of a flow graph connected to some starting equations is presented. The set of equations should be consistent and linearly independent. An example of such a set is: [2]

  4. Butterfly diagram - Wikipedia

    en.wikipedia.org/wiki/Butterfly_diagram

    Signal-flow graph connecting the inputs x (left) to the outputs y that depend on them (right) for a "butterfly" step of a radix-2 Cooley–Tukey FFT. This diagram resembles a butterfly (as in the morpho butterfly shown for comparison), hence the name, although in some countries it is also called the hourglass diagram.

  5. Mason's gain formula - Wikipedia

    en.wikipedia.org/wiki/Mason's_gain_formula

    Mason's Rule is also particularly useful for deriving the z-domain transfer function of discrete networks that have inner feedback loops embedded within outer feedback loops (nested loops). If the discrete network can be drawn as a signal flow graph, then the application of Mason's Rule will give that network's z-domain H(z) transfer function.

  6. Flow network - Wikipedia

    en.wikipedia.org/wiki/Flow_network

    A feasible flow, or just a flow, is a pseudo-flow that, for all v ∈ V \{s, t}, satisfies the additional constraint: Flow conservation constraint : The total net flow entering a node v is zero for all nodes in the network except the source s and the sink t , that is: x f ( v ) = 0 for all v ∈ V \{ s , t } .

  7. Bond graph - Wikipedia

    en.wikipedia.org/wiki/Bond_graph

    It is similar to a block diagram or signal-flow graph, with the major difference that the arcs in bond graphs represent bi-directional exchange of physical energy, while those in block diagrams and signal-flow graphs represent uni-directional flow of information. Bond graphs are multi-energy domain (e.g. mechanical, electrical, hydraulic, etc ...

  8. Flow (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Flow_(mathematics)

    Informally, a flow may be viewed as a continuous motion of points over time. More formally, a flow is a group action of the real numbers on a set. The idea of a vector flow, that is, the flow determined by a vector field, occurs in the areas of differential topology, Riemannian geometry and Lie groups.

  9. Noncommutative signal-flow graph - Wikipedia

    en.wikipedia.org/wiki/Noncommutative_signal-flow...

    A multi-input, multi-output system represented as a noncommutative matrix signal-flow graph. In automata theory and control theory, branches of mathematics, theoretical computer science and systems engineering, a noncommutative signal-flow graph is a tool for modeling [1] interconnected systems and state machines by mapping the edges of a directed graph to a ring or semiring.

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