Authors: Richard A. Formato
Source:FERMAT, Volume 19, Article 10, January-February, 2017
Abstract: Design and optimization problems in applied electromagnetics, in particular antenna D&O, often rely on global search and optimization metaheuristics based on Nature-inspired metaphors. Because the algorithms are inherently stochastic each run produces different results. These uncertain outcomes can be mitigated by pseudo randomly sampling the decision space. This article describes π fractions as a method to create deterministic uniformly distributed decision space sample points.
Index Terms: Applied Electromagnetics, Antenna, π fraction, BBP Algorithm, Optimization, Global Search, Decision Space, Pseudo randomness, Low Discrepancy Sequence, van der Corput, Halton.
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Determinism in Electromagnetic Design & Optimization - Part II: BBP-Derived π fractions for Generating Uniformly Distributed Sampling Points in Global Search and Optimization Algorithms