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The synthesis of difference patterns via linear arrays, the elements of which are fed with the same amplitude, is proposed as a way to simplify the receiving chain and improve the efficiency of the antenna. The problem is solved by means of suitable analytical procedures based on a `density taper` approach. In particular, two different techniques are introduced and compared on the basis of a set of numerical examples. It is shown that one of them definitely outperforms the other one, and that constraints of practical interest can be satisfactorily fulfilled.