By Jens Ahrens
This e-book places the focal point on serving human listeners within the sound box synthesis even if the strategy should be additionally exploited in different functions resembling underwater acoustics or ultrasonics. the writer derives a basic formula in accordance with normal crucial equations and the single-layer power technique is pointed out as a useful gizmo as a way to derive a basic resolution. He additionally proposes extensions to the single-layer power procedure which permit for a derivation of particular options for round, planar, and linear distributions of secondary assets. in keeping with above defined formula it truly is proven that the 2 validated analytical methods of Wave box Synthesis and Near-field Compensated larger Order Ambisonics represent particular options to the final challenge that are lined by means of the single-layer strength resolution and its extensions.
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Extra info for Analytic Methods of Sound Field Synthesis
39) converges uniformly for given r and ω (Kennedy et al. 2007; Gumerov and Duraiswami 2004) so that any such bandlimited series constitutes an approximation of S(x, ω) the error of which decreases with increasing N > Nmin . , S˚nm (r, ω) = 0 ∀ n > N − 1, one speaks of an N-truncated sum (Gumerov and Duraiswami 2004, p. 75), an expansion with spatial bandwidth N − 1, or an (N − 1)-th order expansion. When simulations are presented in this book that depict quantities of infinite order, the order of the simulations is chosen such that the result becomes indistinguishable from the exact representation.
Close to center, the wave fronts are indeed as desired, whereby the accuracy of the bandlimited sound field description rises for source for positions closer to the expansion center. A distances far from the expansion center, the wave fronts tend to be smeared with respect to time, which is a consequence of the lack of energy at high frequencies at these locations. Note that an r N −1 -region (Sect. 1) can not be indicated here since it is frequency dependent. Inspecting Fig. 11 thoroughly reveals that not all energy is propagating in the same direction like the plane wave.
2005, May). 2 multichannel sound system and its application. In 118th Convention of the AES (p. 6406). , & Møller, H. (2002). Methods for binaural recording and reproduction. Acustica, 88(3), 303–311. , & Donohue, K. D. (2008). Virtual sound source rendering using a multipoleexpansion and method-of-moments approach. JAES, 56(6), 473–481. Ise, S. (1999). A principle of sound field control based on the Kirchhoff–Helmholtz integral equation and the theory of inverse systems. Acta Acustica United with Acustica, 85, 78–87.