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Analytic Methods of Sound Field Synthesis by Jens Ahrens

By Jens Ahrens

This booklet places the focal point on serving human listeners within the sound box synthesis even if the procedure might be additionally exploited in different functions comparable to underwater acoustics or ultrasonics. the writer derives a basic formula in keeping with commonplace fundamental equations and the single-layer strength technique is pointed out as a great tool so as to derive a normal resolution. He additionally proposes extensions to the single-layer strength process which permit for a derivation of specific options for round, planar, and linear distributions of secondary resources. in accordance with above defined formula it's proven that the 2 confirmed analytical techniques of Wave box Synthesis and Near-field Compensated larger Order Ambisonics represent particular suggestions to the final challenge that are coated by means of the single-layer power answer and its extensions.

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P. (2001). Optimal focusing by spatio-temporal inverse filter. II. Experiments application to focusing through absorbing and reverberating media. JASA, 110(1), 48–58. , & Nelson, P. A. (2006). Crosstalk cancellation in virtual acoustic imaging systems for multiple listeners. Journal of Sound and Vibration, 297(1–2), 251–266. , & Nelson, P. A. (1993). Reproduction of plane wave sound fields. JASA, 94(5), 2992– 3000. , & Vetterli, M. (2009, May). Sound field reconstruction: An improved approach for wave field synthesis.

The magnitude is indicated both via brightness as well as via transparency. 5 −2 −2 −1 0 x (m) 1 2 −2 −2 −1 0 1 2 x (m) Fig. 10 Bandlimited interior expansion of the monopole source located at rs = 1 m; (αs , βs ) = (−π/2, π/2) emitting a monochromatic signal of f = 1000 Hz. A cross-section through the horizontal plane is shown. a N = 13; the dotted line bounds the r 12 -region; the dashed line bounds the domain of validity of the interior expansion; the arrows indicate the local propagation direction.

10). Obviously, the evanescent components are more prominent for closer observation points. Another convenient property of the wavenumber domain is the fact that the propagation direction of the described sound field can be directly deduced (Williams 1999, Sect. 8). 49) a monochromatic plane wave is represented by a Dirac delta function in k x -space. 14a. The triangular area between the two gray lines that indicate ω/c = |k x | in Fig. 14 is where propagating components are located. Evanescent components are located 44 2 Physical Fundamentals of Sound Fields (a) (b) 20 3000 2500 2500 0 0 2000 −20 1500 −40 f (Hz) f (Hz) 2000 1000 −20 1500 −40 1000 −60 500 0 20 3000 −50 0 50 −60 500 0 −80 k x (rad) −50 0 50 −80 k x (rad) ˜ x , y, z, ω) of a monopole source residing in the coordinate origin for Fig.

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