By Jens Ahrens
This e-book places the point of interest on serving human listeners within the sound box synthesis even though the technique might be additionally exploited in different purposes resembling underwater acoustics or ultrasonics. the writer derives a basic formula in line with common critical equations and the single-layer strength strategy is pointed out as a great tool that allows you to derive a common answer. He additionally proposes extensions to the single-layer capability procedure which enable for a derivation of specific options for round, planar, and linear distributions of secondary assets. in response to above defined formula it's proven that the 2 demonstrated analytical techniques of Wave box Synthesis and Near-field Compensated greater Order Ambisonics represent particular suggestions to the final challenge that are coated by way of the single-layer capability resolution and its extensions.
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Extra resources for Analytic Methods of Sound Field Synthesis
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8 Angular weighting for reduction of the Gibbs phenomenon apparent in Figs. 7 c, d. a Cosine-shaped angular window w˘ n applied to the expansion in Fig. 8b. b Cross-section through the horizontal plane of a 12-th order approximation of a monochromatic plane wave sound field S(x, ω) with propagation direction (π/2, π/2) of frequency f = 1000 Hz with angular weighting as shown in Fig. 8a. The dotted circle bounds the r12 -region Fig. 9 20 log10 |S(x, ω)| of a 5-th order plane wave (N = 6) with propagation direction (π/2, π/2); a cross-section through the horizontal plane is shown.
Analytic Methods of Sound Field Synthesis by Jens Ahrens