I want to maximize one factor whilst minimizing the other

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I have two sets of data, one represents electrical noise in a circuit and the other represents the gain in the circuit. So l varied the voltage in the circuit and calculated both the gain and the electrical noise at those voltages. Now l want to know what kind of analysis can l do to make sure that l maximize my gain whilst reducing my electrical noise. What kind of mathematical analysis or statistical can l do ?
 

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Nyasha said:
I have two sets of data, one represents electrical noise in a circuit and the other represents the gain in the circuit. So l varied the voltage in the circuit and calculated both the gain and the electrical noise at those voltages. Now l want to know what kind of analysis can l do to make sure that l maximize my gain whilst reducing my electrical noise. What kind of mathematical analysis or statistical can l do ?

Hi Nyasha,

That would be a multi-objective optimization problem, there are many methods to optimize this kind of problems but you can construct with all of them a Pareto front (basically a graph of the set of optimal solutions).

The Pareto front will help you to determine the solution that better fits your needs.
 
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