We propose a method to create a directional sound source in front of a linear loudspeaker array. The method creates a virtual circular loudspeaker array comprising multiple focused sources to reproduce directivity patterns. In the proposed method, the driving functions for the secondary sources are defined as a cascade combination of two driving functions: The first one for directivity control derived by an analytical conversion of circular harmonic modes, and the second one for creating focused sources. The proposed driving functions can deal with directivity rotation by changing the position of focused sources, thereby avoiding recalculations of driving functions. Using computer simulation, we obtained accuracy and algorithmic complexity comparable or better than those of a conventional method.
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