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Dynamic System Response
Published in Arthur G.O. Mutambara, Design and Analysis of Control Systems, 2017
The signal flow graph is another visual tool for representing causal relationships between components of the system. It is a simplified version of a block diagram introduced by S. J. Mason as a cause-and-effect representation of linear systems. In addition to the difference in physical appearances between the signal flow graph and the block diagram, the signal flow graph is constrained by more rigid mathematical rules. The signal flow graph is defined as a graphical means of portraying the input-output relationships between the variables of a set of linear algebraic equations. Consider a linear system described by a set of n algebraic equations such that,
Computer-Aided Control Systems Design
Published in William S. Levine, Control System Fundamentals, 2019
C. Magnus Rimvall, Christopher P. Jobling
All of today’s block diagram CACSD tools use hierarchical signal flow diagrams as their main system representation. As illustrated in Figure 23.11, a signal flow diagram is a directed graph with the nodes representing standard arithmetic, dynamic and logic control blocks such as adders, delays, various filters, nonlinear blocks, and Boolean logic blocks. The connections between the blocks represent “signal” information which is transmitted from one block to another. The connections also indicate the order of execution of the various blocks. Signal flow diagrams are ideal for describing the dynamics of a system or controller.
Microwave Amplifiers
Published in S. Raghavan, ®, 2019
A signal flow graph is a pictorial representation of a system normally described by a set of simultaneous equations. In microwave circuit analysis, circuits are described in terms of traveling “power” waves, as and bs, related to each other by S-parameters in the form of linear simultaneous equations. Hence, the signal flow graph technique can easily be adopted to represent linear microwave circuits pictorially via S-parameters, and furthermore, it can also be used to simplify circuits for analysis.
Reflections on sonic digital unreality
Published in Digital Creativity, 2019
Sara Pinheiro, Matěj Šenkyřík, Jiří Rouš, Petr Zábrodský
Today, digital tools have a crucial role in sound production. In nearly every reproduced sound, there is a twofold signal translation: from physical vibrations to electrical signal flow and further on to its numerical representation. Such translation is required by the underlying Boolean logic imprinted in the electromechanical construction of these digital devices. Conversely, sound has to be materialized as propagation in the space in order to be perceived. That is, sound has to be deconstructed–reconstructed or coded–decoded from and to analog flow of material vibrations.