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This paper describes the application of the PopulationRased Incremental Learning (PBIL) algorithm to array antenna pattern (power) synthesis. PBIL, an optimization algorithm which has similarities t o genetic algorithms (GAS): offers many advantages over the more established methods of pattern synthesis, especially where constraints are imposed on the element excitations. In this paper, we apply PBIL to the synthesis of a cosec2 antenna pattern using an equi-spaced linear array and show the effect of imposin, in-' creasingly severe constraints on the element excitations and on the pattern itself.

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