Complicated radiated patterns and strengths from actual source can be approximately described by the expansion of spherical harmonics or, in other words, ideal sources, in various orders. If the signals are superposed to meet the requirement for generating a specially designed radiation pattern of ideal sources in various orders, an arbitrary radiation pattern simulating the actual source of interest can be reproduced by this designed filter. The method based on the equivalent source method is proposed to design a source array to reproduce not only frequency response but also the spatial response to simulate the sound field, and the suggested method is applied to reproduce the radiation pattern of musical instruments with spherically distributed loudspeaker array.
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