Identification of Fourier Coefficients using AI Search Techniques

Abstract

The Fourier series consisting of sine and cosine terms is an infinite series representing periodicfunctions or signals. The Fourier coefficients can be calculated by integrating the periodic function ofinterest. Unfortunately, some periodic functions cannot give the closed-form solution by integrating. Thispaper proposes the application of AI search techniques to identify the Fourier coefficients. The AI searchtechnique used in this work consists of Genetic algorithm (GA), Tabu search (TS), and adaptive Tabusearch (ATS). With the proposed techniques, the Fourier coefficients of periodic functions can be easilyand accurately obtained. Details and results are shown and discussed in this paper.

Keywords : Fourier Series / AI Search Technique / Genetic Algorithm / Tabu Search /Adaptive Tabu Search