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A method of optimizing secondary source placement in sound field synthesis isproposed. Such an optimization method will be useful when the allowableplacement region and available number of loudspeakers are limited. We formulatea mean-square-error-based cost function, incorporating the statisticalproperties of possible desired sound fields, for generallinear-least-squares-based sound field synthesis methods, including pressurematching and (weighted) mode matching, whereas most of the current methods areapplicable only to the pressure-matching method. An efficient greedy algorithmfor minimizing the proposed cost function is also derived. Numericalexperiments indicated that a high reproduction accuracy can be achieved by theplacement optimized by the proposed method compared with the empirically usedregular placement.

Mean-square-error-based secondary source placement in sound field synthesis with prior information on desired field