Multi-objective optimum design of balanced SAW filters using generalized differential evolution
Kiyoharu Tagawa · 2009
Abstract: A multi-objective optimum design method of the balanced Surface Acoustic Wave (SAW) filter is pro-posed. The frequency response characteristics of the balanced SAW filters are governed primarily by their geo-metrical structures. Besides, specifications for a balanced SAW filter is given by using several criteria. Therefore, in order to realize desirable frequency response characteristics, the structural design of the balanced SAW filter is formulated as a constrained multi-objective optimization problem. Then a recent Evolutionary Multi-objective Optimization (EMO) algorithm, which is called Generalized Differential Evolution 3 (GED3), is applied to the multi-objective optimization problem. Furthermore, in order to clarify the tradeoff relationship among the ob-jective functions of the multi-objective optimization problem, Principal Component Analysis (PCA) is used to assess the set of the non-dominated solutions obtained by GDE3. Finally, the proposed optimum design method is demonstrated in the three- and the two-objective optimum design problems of a practical balanced SAW filter. Key–Words: Surface acoustic wave filter, differential evolution, multi-objective optimization 1