Method and apparatus for compressing and decompressing a higher order ambisonics signal representation
A high-level high-fidelity, stereo technology, applied in stereo systems, spatial/structural arrangements of speakers, features of broadcast information, etc., can solve problems such as directional power maximum shift, low spatial resolution, and blurred directional power distribution.
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[0059] Ambisonics signals use spherical harmonic (SH) expansions to describe the sound field in passive regions. The flexibility of this description can be attributed to the physical property that the temporal and spatial behavior of sound pressure is essentially determined by the wave equation.
[0060] Wave Equation and Spherical Harmonic Expansion
[0061] For a more detailed description of Ambisonics, a spherical coordinate system is assumed below, where the tilt angle θ ∈ [0 , π] and the azimuth φ∈[0, 2π] measured from the x-axis in the x=y plane to represent the space x=(r, θ, φ) T point in . In this spherical coordinate system, the wave equation for sound pressure p(t,x) (where t represents time) in a connected passive region is given by Earl G. Williams' textbook "Fourier Acoustics" (Applied Mathematical Sciences 93 Volume, Academic Press, 1999) gives:
[0062] 1 r 2 [ ∂ ...
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