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Optimal loudspeaker placement for sound field reconstruction in geometrically constrained environments.
J. Acoust. Soc. Am. Volume 127, Issue 3, pp. 1969-1969 (2010); (1 page)
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Add to FacebookThe design of loudspeaker arrays for holographic sound reproduction systems involves sampling a given aperture by a set of loudspeakers. For full sphere apertures it can be proven that there are only five equidistant sampling methods (given by the five regular polyhedrons) which only allows for arrays with up to 20 elements. For larger arrays, non‐equidistant design methods such as t‐design and Gaussian sampling have been proposed. However, in realistic environments it is generally not possible to place loudspeakers on the floor or on walls at certain locations. Furthermore, it is not desirable to have the loudspeakers constrained to spherical radii. This work shows a method for loudspeaker array design that allows for consideration of these special cases. The method relies on the decomposition of the sound field into a spatially orthonormal basis of spherical harmonics. A heuristic method is used to minimize the eigenvalue spread of the spherical harmonic matrix. The loudspeaker weights are found by calculating the generalized inverse of this matrix. Constraints on the speaker positions, highest reproduction mode, and number of loudspeakers are imposed in the minimization. The results of a design for a 16 speaker array in our acoustics laboratory are discussed.
© 2010 Acoustical Society of America
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Acoustic array systems and processing, beam-forming
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