Method and apparatus for changing relative positions of sound objects contained within higher-order ambisonics representation
A high-end high-fidelity, stereo technology, applied in the direction of stereo system, quasi-stereo system, speaker shell layout, etc., can solve problems such as error-prone
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[0028] In the following, for ease of understanding, the spatial warping applying the present invention is described in the context of a two-dimensional setup, the HOA representation relies on circular harmonics, and it is assumed that the represented sound field includes only plane acoustic waves. Then, the description is extended to the three-dimensional case based on spherical harmonics.
[0029] symbol system
[0030] In Ambisonics theory, the sound field at or near a particular point in space is described by a truncated Fourier-Bessel series. In general, the reference point is assumed to be at the origin of the selected coordinate system.
[0031] For 3D applications using spherical coordinates, coefficients for all defined indices n=0, 1, ..., N and m = -n, ..., n The Fourier series of describes the pressure of the sound field at azimuth φ, inclination θ and distance r from the origin:
[0032] p ( r , ...
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