Automated Design of Analog and High-frequency Circuits: A by Bo Liu

By Bo Liu

Computational intelligence concepts have gotten progressively more vital for computerized challenge fixing these days. because of the growing to be complexity of business functions and the more and more tight time-to-market requisites, the time to be had for thorough challenge research and improvement of adapted answer tools is lowering. there is not any doubt that this development will proceed within the foreseeable destiny. for this reason, it's not excellent that powerful and common computerized challenge fixing equipment with passable functionality are needed.

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Given two candidates in the population, there may be, at most, three situations: (1) Both solutions are feasible; (2) Both solutions are infeasible; (3) One solution is feasible, but the other is not. Accordingly, the selection rules are: (1) Given two feasible solutions, select the one with the better objective function value; (2) Given two infeasible solutions, select the solution with the smaller constraint violation; (3) If one solution is feasible and the other is not, select the feasible solution.

It can be seen that a small η would generate children solutions far away from the parent solutions, while a large η restricts children solutions to be near the parent solutions. Essentially, the SBX operator has two properties: • The difference between the offspring is in proportion to the parent solution. • Near-parent solutions become mostly offspring rather than solutions distant from parents if η is properly selected. The mutation operator used in NSGA-II is polynomial mutation. The probability distribution is a polynomial function.

For highly constrained or problems with complex hyper-surfaces, which may appear in high-performance analog circuit sizing, advanced methods are necessary. Fig. 5 Multi-objective Analog Circuit Sizing Multi-objective analog circuit sizing is based on multi-objective evolutionary algorithms (MOEAs). The main difference between multi-objective optimization and single-objective optimization is the fitness assignment. For single-objective optimization, the optimality is determined by a single function value, but for multi-objective optimization, not only the optimality should be determined by multiple objective functions, but also the distribution of the solutions in the approximated Pareto front (PF) is important.

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