tailieunhanh - Advances in Sound Localization part 10

Tham khảo tài liệu 'advances in sound localization part 10', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | Sound Image Localization on Flat Display Panels 347 grid of field points I display panel Z r Y rq 1 E n3 1 p2 c2 S3 ext int r B n3 2 P1 C1 j S2 a b Fig. 3. a Optimization of L-like rigid barriers for a target listening area. b Theoretical model for the numerical optimization. discrete frequencies in a given audible frequency band as 1 p op- mn g Ẹ G fk 1 eR p k 1 subject to 0 Ỗ max where G fk 10 log10 1 N Ị 2 I 2 N Ẽ kes fk 0 1 - psqim fk q N q 1 v 2 Here pdes and pqim are the actually desired and the numerically simulated sound pressures at the q-th field point. Alternatively the sound field pdes can be further represented as Pdes fk 0 Pdes fk W 0 3 0 W 0 1 . the sound pressure Pq weighted by a normalized ỡ-dependent function W 0 to further control the desired directivity. Thus G measures the average in dB s of the error between the squared magnitude of pdes and pqim. The acoustic optimization is usually performed numerically with the aid of computational tools such as finite element FEM or boundary element BEM methods being the latter a frequently preferred approach to model sound scattering by vibroacoustic systems because of its computational efficiency over its FEM counterpart. BEM is indeed an appropriate framework to model the acoustic display-loudspeaker system of Fig. 3 a . Therefore the adopted theoretical approach will be briefly developed following boundary element formulations similar to those described in Ciskowski Brebbia 1991 Estorff 2000 Wu 2000 and the domain decomposition equations in Seybert et al. 1990 . Consider the solid body of Fig. 3 b whose concave shape defines two subdomains an interior T1 and an exterior r2 filled with homogeneous compressible media of densities P1 and P2 348 Advances in Sound Localization where any sound wave propagates at the speed C1 and C2 respectively. The surface of the body is divided into subsegments so that the total surface is S S1 S2 S3 . the interior exterior and an imaginary auxiliary .

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