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A common mean to achieve narrow directive patterns consists in using loudspeaker arrays. Generally, the position of the sources in the array is arbitrarily fixed, for instance by using a regular spacing. The filters for each speaker are then calculated to get the desired acoustic field. In some cases, the predefined speaker positions might not be the optimal ones. Moreover, the diffraction on the source body may not be negligible for medium range applications. In this paper, we propose adoi:10.18154/rwth-conv-238832 fatcat:xoykxox3m5e7thirowgq7mnami