Abstract
An original approach is proposed in order to achieve the fitting of ultra-wideband complex frequency functions, such as the complex impedances, by using the so-called ACO (Ant Colony Optimization) methods. First, we present the optimization principle of ACO, which originally was dedicated to the combinatorial problems. Further on, the extension to the continuous and mixed problems is explained in more details. The interest in this approach is proved by its ability to define practical constraints and objectives, such as minimizing the number of filters used in the model with respect to a fixed relative error. Finally, the establishment of the model for the first and second order filter types illustrates the power of the method and its interest for the time-domain electromagnetic computation.
Highlights
In the optimization area, some classical gradient descent based methods have been developed since several decades
An original approach is proposed in order to achieve the fitting of ultra-wideband complex frequency functions, such as the complex impedances, by using the so-called ACO (Ant Colony Optimization) methods
The most famous among all these is the genetic algorithm method, which considers the evolution of a population through some generations
Summary
Some classical gradient descent based methods have been developed since several decades. The heuristic approaches based on the numerical miming of biological phenomena have successfully been applied in optimization processes In this case, the principle is very different; this process starts from a family of points randomly chosen in a previously defined research area. Like the Genetic Algorithm approach, some other methods, which are so-called metaheuristics, have been developed to solve the complex problem that corresponds to the class of the NP complete problem It means that the computational time needed to solve such problems, versus the number of parameter, increases more quickly than a polynomial function over time. The fitting of the curve in a set of filters results in some auxiliary ordinary differential equations that is solved by numerical temporal method In such a case, we understand the importance of limiting the number of filters in order to reduce the time computation. The example of a conducting medium representation is established over a very large bandwidth
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
