Analytic Methods of Sound Field SynthesisThis book puts the focus on serving human listeners in the sound field synthesis although the approach can be also exploited in other applications such as underwater acoustics or ultrasonics. The author derives a fundamental formulation based on standard integral equations and the single-layer potential approach is identified as a useful tool in order to derive a general solution. He also proposes extensions to the single-layer potential approach which allow for a derivation of explicit solutions for circular, planar, and linear distributions of secondary sources. Based on above described formulation it is shown that the two established analytical approaches of Wave Field Synthesis and Near-field Compensated Higher Order Ambisonics constitute specific solutions to the general problem which are covered by the single-layer potential solution and its extensions. |
Contents
1 Introduction | 1 |
2 Physical Fundamentals of Sound Fields | 21 |
3 Continuous Secondary Source Distributions | 56 |
4 Discrete Secondary Source Distributions | 115 |
5 Applications of Sound Field Synthesis | 174 |
A Coordinate Systems | 273 |
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Common terms and phrases
Acoustics Ahrens and Spors Ambisonics amplitude assumed audio bandlimited boundary circular secondary source components coordinate system denotes depicted in Fig desired sound field discretization artifacts domain driving function Duraiswami 2004 Equation evanescent expansion coefficients f Hz Fazi filter focused source Fourier series Fourier transform frequency fullband synthesis Girod given Green's function Gumerov and Duraiswami Hankel function horizontal plane impulse response integral line indicates linear secondary source listener located loudspeaker narrowband narrowband synthesis perception properties radiation Refer to Fig representation reproduction respect secondary source distribution setup signature function sound field S(x sound field synthesis sound pressure spatial bandwidth spatial discretization spatial transfer function spectral repetitions spherical harmonics spherical secondary source spherical wave Stereophony synthesized sound field time-domain time-frequency virtual plane wave virtual sound field virtual sound sources wave field synthesis wave front wavenumber Weisstein 2002 ΘΩ ΣΣ