Long, narrow rooms with high ceilings typically require loudspeaker components configured as a large, central cluster. The aesthetically most pleasing configuration consists of horizontally mounted, electronically (phase delay) steered line source arrays. A difficult problem, however, is the need to dynamically shade the array such that the sidelobe energy is minimized and the directivity patterns remain stable for all frequencies. A family of optimum shading functions is derived and illustrated with a case study.
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