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Signal-flow graph

Index Signal-flow graph

A signal-flow graph or signal-flowgraph (SFG), invented by Claude Shannon, but often called a Mason graph after Samuel Jefferson Mason who coined the term, 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. [1]

44 relations: Arthur Guyton, Asymptotic gain model, Biophysics, Block diagram, Bond graph, Claude Shannon, Coates graph, Computer algebra system, Cyber-physical system, Design space exploration, Digital filter, Directed graph, Electronic circuit, Elsevier, Equation, Feedback, Flow graph (mathematics), Gaussian elimination, Henry Paynter, Kronecker delta, Laplace transform, Lead–lag compensator, Leapfrog filter, Linear time-invariant theory, Mason's gain formula, MATHLAB, Mealy machine, Minor loop feedback, Moore machine, Negative-feedback amplifier, Noncommutative signal-flow graph, Physical system, Physiology, Regular expression, Return ratio, Samuel Jefferson Mason, Schematic, Simulation, State diagram, System of equations, System of linear equations, Topology, Transfer function, Wikibooks.

Arthur Guyton

Arthur Clifton Guyton (September 8, 1919 – April 3, 2003) was an American physiologist.

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Asymptotic gain model

The asymptotic gain model (also known as the Rosenstark method) is a representation of the gain of negative feedback amplifiers given by the asymptotic gain relation: where T is the return ratio with the input source disabled (equal to the negative of the loop gain in the case of a single-loop system composed of unilateral blocks), G∞ is the asymptotic gain and G0 is the direct transmission term.

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Biophysics

Biophysics is an interdisciplinary science that applies the approaches and methods of physics to study biological systems.

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Block diagram

A block diagram is a diagram of a system in which the principal parts or functions are represented by blocks connected by lines that show the relationships of the blocks.

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Bond graph

A bond graph is a graphical representation of a physical dynamic system.

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Claude Shannon

Claude Elwood Shannon (April 30, 1916 – February 24, 2001) was an American mathematician, electrical engineer, and cryptographer known as "the father of information theory".

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Coates graph

In mathematics, the Coates graph or Coates flow graph, named after C.L. Coates, is a graph associated with the Coates' method for the solution of a system of linear equations.

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Computer algebra system

A computer algebra system (CAS) is any mathematical software with the ability to manipulate mathematical expressions in a way similar to the traditional manual computations of mathematicians and scientists.

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Cyber-physical system

A cyber-physical (also styled cyberphysical) system (CPS) is a mechanism that is controlled or monitored by computer-based algorithms, tightly integrated with the Internet and its users.

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Design space exploration

Design Space Exploration (DSE) refers to systematic analysis and pruning of unwanted design points based on parameters of interest.

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Digital filter

In signal processing, a digital filter is a system that performs mathematical operations on a sampled, discrete-time signal to reduce or enhance certain aspects of that signal.

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Directed graph

In mathematics, and more specifically in graph theory, a directed graph (or digraph) is a graph that is a set of vertices connected by edges, where the edges have a direction associated with them.

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Electronic circuit

An electronic circuit is composed of individual electronic components, such as resistors, transistors, capacitors, inductors and diodes, connected by conductive wires or traces through which electric current can flow.

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Elsevier

Elsevier is an information and analytics company and one of the world's major providers of scientific, technical, and medical information.

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Equation

In mathematics, an equation is a statement of an equality containing one or more variables.

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Feedback

Feedback occurs when outputs of a system are routed back as inputs as part of a chain of cause-and-effect that forms a circuit or loop.

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Flow graph (mathematics)

A flow graph is a form of digraph associated with a set of linear algebraic or differential equations: Although this definition uses the terms "signal flow graph" and "flow graph" interchangeably, the term "signal flow graph" is most often used to designate the Mason signal-flow graph, Mason being the originator of this terminology in his work on electrical networks.

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Gaussian elimination

In linear algebra, Gaussian elimination (also known as row reduction) is an algorithm for solving systems of linear equations.

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Henry Paynter

Henry M. Paynter (August 11, 1923 – June 14, 2002) was an American scientist, best known as the inventor of bond graphs.

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Kronecker delta

In mathematics, the Kronecker delta (named after Leopold Kronecker) is a function of two variables, usually just non-negative integers.

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Laplace transform

In mathematics, the Laplace transform is an integral transform named after its discoverer Pierre-Simon Laplace.

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Lead–lag compensator

A lead–lag compensator is a component in a control system that improves an undesirable frequency response in a feedback and control system.

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Leapfrog filter

A leapfrog filter is a type of active circuit electronic filter that simulates a passive electronic ladder filter.

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Linear time-invariant theory

Linear time-invariant theory, commonly known as LTI system theory, comes from applied mathematics and has direct applications in NMR spectroscopy, seismology, circuits, signal processing, control theory, and other technical areas.

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Mason's gain formula

Mason's gain formula (MGF) is a method for finding the transfer function of a linear signal-flow graph (SFG).

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MATHLAB

MATHLAB is a computer algebra system created in 1964 by Carl Engelman at MITRE and written in LISP.

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Mealy machine

In the theory of computation, a Mealy machine is a finite-state machine whose output values are determined both by its current state and the current inputs.

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Minor loop feedback

Minor loop feedback is a classical method used to design stable robust linear feedback control systems using feedback loops around sub-systems within the overall feedback loop.

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Moore machine

In the theory of computation, a Moore machine is a finite-state machine whose output values are determined only by its current state.

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Negative-feedback amplifier

A Negative-feedback amplifier (or feedback amplifier) is an electronic amplifier that subtracts a fraction of its output from its input, so that negative feedback opposes the original signal.

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Noncommutative 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 interconnected systems and state machines by mapping the edges of a directed graph to a ring or semiring.

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Physical system

In physics, a physical system is a portion of the physical universe chosen for analysis.

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Physiology

Physiology is the scientific study of normal mechanisms, and their interactions, which work within a living system.

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Regular expression

A regular expression, regex or regexp (sometimes called a rational expression) is, in theoretical computer science and formal language theory, a sequence of characters that define a search pattern.

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Return ratio

The return ratio of a dependent source in a linear electrical circuit is the negative of the ratio of the current (voltage) returned to the site of the dependent source to the current (voltage) of a replacement independent source.

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Samuel Jefferson Mason

Samuel Jefferson Mason (1921–1974) was an American electronics engineer.

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Schematic

A schematic, or schematic diagram, is a representation of the elements of a system using abstract, graphic symbols rather than realistic pictures.

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Simulation

Simulation is the imitation of the operation of a real-world process or system.

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State diagram

A state diagram is a type of diagram used in computer science and related fields to describe the behavior of systems.

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System of equations

In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.

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System of linear equations

In mathematics, a system of linear equations (or linear system) is a collection of two or more linear equations involving the same set of variables.

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Topology

In mathematics, topology (from the Greek τόπος, place, and λόγος, study) is concerned with the properties of space that are preserved under continuous deformations, such as stretching, crumpling and bending, but not tearing or gluing.

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Transfer function

In engineering, a transfer function (also known as system function or network function) of an electronic or control system component is a mathematical function giving the corresponding output value for each possible value of the input to the device.

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Wikibooks

Wikibooks (previously called Wikimedia Free Textbook Project and Wikimedia-Textbooks) is a wiki-based Wikimedia project hosted by the Wikimedia Foundation for the creation of free content e-book textbooks and annotated texts that anyone can edit.

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Redirects here:

Mason graph, Signal flow graph.

References

[1] https://en.wikipedia.org/wiki/Signal-flow_graph

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