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The relationship between an input and output variable of a signal flow graph is given by the net gain between the input and output node is known as the overall______________
- a)Overall gain of the system
- b)Stability
- c)Bandwidth
- d)Speed
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
The relationship between an input and output variable of a signal flow...
Overall Gain of the System:
The overall gain of a system refers to the net gain between the input and output nodes of a signal flow graph. It represents the relationship between the input variable and the output variable. The overall gain determines how much the input signal is amplified or attenuated in the system.
Signal Flow Graph:
A signal flow graph is a graphical representation of a system, which consists of nodes and directed edges. The nodes represent the variables in the system, while the directed edges represent the signal flow between the nodes. The gain of each directed edge represents the amplification or attenuation of the signal as it passes through the system.
Net Gain:
The net gain between the input and output nodes of a signal flow graph is the product of the gains along the path from the input to the output. It can be calculated by traversing the signal flow graph and multiplying the gains of the directed edges along the path.
Example:
Let's consider a simple signal flow graph with an input node and an output node connected by two directed edges with gains of G1 and G2. The net gain between the input and output nodes can be calculated as:
Net Gain = G1 * G2
This net gain represents the overall gain of the system, which indicates how much the input signal is amplified or attenuated in the system. If the net gain is greater than 1, it means the output signal is amplified compared to the input signal. If the net gain is less than 1, it means the output signal is attenuated compared to the input signal. And if the net gain is equal to 1, it means there is no amplification or attenuation of the input signal.
Conclusion:
In summary, the relationship between an input and output variable of a signal flow graph is given by the net gain between the input and output node, which represents the overall gain of the system. The overall gain determines how much the input signal is amplified or attenuated in the system.
The overall gain of a system refers to the net gain between the input and output nodes of a signal flow graph. It represents the relationship between the input variable and the output variable. The overall gain determines how much the input signal is amplified or attenuated in the system.
Signal Flow Graph:
A signal flow graph is a graphical representation of a system, which consists of nodes and directed edges. The nodes represent the variables in the system, while the directed edges represent the signal flow between the nodes. The gain of each directed edge represents the amplification or attenuation of the signal as it passes through the system.
Net Gain:
The net gain between the input and output nodes of a signal flow graph is the product of the gains along the path from the input to the output. It can be calculated by traversing the signal flow graph and multiplying the gains of the directed edges along the path.
Example:
Let's consider a simple signal flow graph with an input node and an output node connected by two directed edges with gains of G1 and G2. The net gain between the input and output nodes can be calculated as:
Net Gain = G1 * G2
This net gain represents the overall gain of the system, which indicates how much the input signal is amplified or attenuated in the system. If the net gain is greater than 1, it means the output signal is amplified compared to the input signal. If the net gain is less than 1, it means the output signal is attenuated compared to the input signal. And if the net gain is equal to 1, it means there is no amplification or attenuation of the input signal.
Conclusion:
In summary, the relationship between an input and output variable of a signal flow graph is given by the net gain between the input and output node, which represents the overall gain of the system. The overall gain determines how much the input signal is amplified or attenuated in the system.
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Community Answer
The relationship between an input and output variable of a signal flow...
In a signal flow graph, the net gain between the input and output node represents the relationship between an input variable and an output variable. This net gain is calculated by multiplying the individual gains along the paths from the input node to the output node.
The overall gain of the system refers to the cumulative effect of these individual gains on the input-output relationship. It represents the ratio of the output variable to the input variable, taking into account all the intermediate gains in the signal flow graph.
Therefore, the correct answer is A: Overall gain of the system.
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The relationship between an input and output variable of a signal flow graph is given by the net gain between the input and output node is known as the overall______________a)Overall gain of the systemb)Stabilityc)Bandwidthd)SpeedCorrect answer is option 'A'. Can you explain this answer?
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