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Questions and Answers
In representing multiple subsystems as a single transfer function, which graphical representation is usually used for frequency-domain analysis and design?
In representing multiple subsystems as a single transfer function, which graphical representation is usually used for frequency-domain analysis and design?
How are transfer functions represented in signal-flow graphs?
How are transfer functions represented in signal-flow graphs?
What is implicit in signal-flow graphs?
What is implicit in signal-flow graphs?
Why are signal-flow graphs considered convenient for state-space analysis and design?
Why are signal-flow graphs considered convenient for state-space analysis and design?
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What is the reason for a particular choice of state variables?
What is the reason for a particular choice of state variables?
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What is the objective of representing multiple subsystems via block diagrams or signal-flow graphs?
What is the objective of representing multiple subsystems via block diagrams or signal-flow graphs?
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What are the elements of a block diagram of a linear, time-invariant system?
What are the elements of a block diagram of a linear, time-invariant system?
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What is implicit in signal-flow graphs?
What is implicit in signal-flow graphs?
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What is used to derive the system’s transfer function from the signal-flow graph?
What is used to derive the system’s transfer function from the signal-flow graph?
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What do systems in state space use to be represented using different sets of variables?
What do systems in state space use to be represented using different sets of variables?
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What is the next topic of discussion after the representation of systems using different sets of variables?
What is the next topic of discussion after the representation of systems using different sets of variables?
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What effect does system stability have on designing a system?
What effect does system stability have on designing a system?
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What is the purpose of Mason’s rule in signal-flow graphs?
What is the purpose of Mason’s rule in signal-flow graphs?
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What do signal-flow graphs consist of?
What do signal-flow graphs consist of?
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What is the objective of reducing a complicated block diagram to a single transfer function?
What is the objective of reducing a complicated block diagram to a single transfer function?
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What is the primary reason for choosing a particular representation of systems in state space?
What is the primary reason for choosing a particular representation of systems in state space?
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What techniques are used to reduce block diagrams and signal-flow graphs to a single transfer function?
What techniques are used to reduce block diagrams and signal-flow graphs to a single transfer function?
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In what ways can the methods for reducing block diagrams and signal-flow graphs be used?
In what ways can the methods for reducing block diagrams and signal-flow graphs be used?
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How are subsystems typically represented in block diagrams?
How are subsystems typically represented in block diagrams?
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What happens when multiple interconnected subsystems are present in block diagrams?
What happens when multiple interconnected subsystems are present in block diagrams?
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What are the common topologies for interconnecting subsystems that are examined?
What are the common topologies for interconnecting subsystems that are examined?
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What is discussed to establish familiar forms in block diagrams?
What is discussed to establish familiar forms in block diagrams?
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When are equivalent block diagrams formed?
When are equivalent block diagrams formed?
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How can equivalences in block diagrams be verified?
How can equivalences in block diagrams be verified?
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What are the methods used for reducing block diagrams and signal-flow graphs to a single transfer function?
What are the methods used for reducing block diagrams and signal-flow graphs to a single transfer function?
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Which topologies are examined for interconnecting subsystems?
Which topologies are examined for interconnecting subsystems?
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What is used to find equivalent transfer functions for different topologies?
What is used to find equivalent transfer functions for different topologies?
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What can be done when familiar forms (cascade, parallel, feedback) are not apparent in block diagrams?
What can be done when familiar forms (cascade, parallel, feedback) are not apparent in block diagrams?
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Study Notes
Techniques for Reducing Block Diagrams and Signal-Flow Graphs
- Techniques aim to reduce representations to a single transfer function
- Block diagram algebra and Mason’s rule are used for reduction
- Methods can be used for frequency-domain or state-space analysis
- Subsystems are represented as blocks with inputs, outputs, and transfer functions
- Multiple interconnected subsystems require additional schematic elements
- Common topologies for interconnecting subsystems are examined
- Cascaded subsystems, parallel subsystems, and feedback form are explored
- Equations derived to find equivalent transfer functions for different topologies
- Familiar forms (cascade, parallel, feedback) not always apparent in block diagrams
- Basic block moves discussed to establish familiar forms
- Equivalent block diagrams formed when transfer functions are moved
- Equivalences can be verified by tracing input signals through to the output
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Description
Test your knowledge of techniques for reducing block diagrams and signal-flow graphs with this quiz. Explore methods for simplifying representations to a single transfer function, including block diagram algebra and Mason’s rule. Learn how to analyze frequency-domain or state-space systems and understand common topologies for interconnecting subsystems.
