Method and device for decoding an audio soundfield representation for audio playback
Soundfield signals such as e.g. Ambisonics carry a representation of a desired sound field. The Ambisonics format is based on spherical harmonic decomposition of the soundfield, and Higher Order Ambisonics (HOA) uses spherical harmonics of at least 2 nd order. However, commonly used loudspeaker setups are irregular and lead to problems in decoder design. A method for improved decoding an audio soundfield representation for audio playback comprises calculating a panning function (W) using a geometrical method based on the positions of a plurality of loudspeakers and a plurality of source directions, calculating a mode matrix (Ξ) from the loudspeaker positions, calculating a pseudo-inverse mode matrix (Ξ + ) and decoding the audio soundfield representation. The decoding is based on a decode matrix (D) that is obtained from the panning function (W) and the pseudo-inverse mode matrix (Ξ + ).
1. A method for decoding an ambisonics audio soundfield representation for playback over a plurality of loudspeakers, the method comprising:
obtaining, for each of a plurality of loudspeakers, a panning function using a geometrical method based on positions of the loudspeakers and a plurality of source directions;
obtaining a mode matrix from the source directions and an order of the ambisonics audio soundfield representation;
obtaining a base matrix from the mode matrix; and
decoding the ambisonics audio soundfield representation with a decoding matrix, wherein the decoding matrix is based on the panning function and the base matrix, the source directions are distributed evenly over a unit sphere, and a number of the source directions is S, the order of the ambisonics audio soundfield representation is N, and S≧(N+1) 2 .
2. The method of claim 1 , wherein the geometrical method used in the step of obtaining a panning function is based on Vector Base Amplitude Panning (VBAP).
3. The method of claim 1 , wherein the ambisonics soundfield representation is of at least 2nd order.
4. The method of claim 1 , wherein the base matrix is based on a product of the mode matrix and a transposed matrix.
5. The method of claim 1 , wherein the panning function is represented as a matrix and the base matrix is a regularization of the mode matrix.
6. The method of claim 1 , wherein the panning function is represented as gain values.
7. A device for decoding an ambisonics audio soundfield representation for playback over a plurality of loudspeakers, the device comprising:
a means for obtaining, for each of a plurality of loudspeakers, a panning function using a geometrical method based on positions of the loudspeakers and a plurality of source directions;
a means for obtaining a mode matrix from the source directions and an order of the ambisonics audio soundfield representation;
a means for obtaining a base matrix from the mode matrix; and
a means for decoding the ambisonics audio soundfield representation with a decoding matrix, wherein the decoding matrix is based on the panning function and the base matrix, the source directions are distributed evenly over a unit sphere, and a number of the source directions is S, the order of the ambisonics audio soundfield representation is N, and S≧(N+1) 2 .
8. The device of claim 7 , wherein the geometrical method used in the step of obtaining a panning function is based on Vector Base Amplitude Panning (VBAP).
9. The device of claim 7 , wherein the ambisonics soundfield representation is of at least 2nd order.
10. The device of claim 7 , wherein the base matrix is based on a product of the mode matrix and a transposed matrix.
11. The device of claim 7 , wherein the panning function is represented as a matrix and the base matrix is a regularization of the mode matrix.
12. The device of claim 7 , wherein the panning function is represented as gain values.
13. A nontransitory computer readable medium having stored on it executable instructions to cause a computer to perform a method for decoding an ambisonics audio soundfield representation for audio playback, the method comprising steps of:
obtaining, for each of a plurality of loudspeakers, a panning function using a geometrical method based on positions of the loudspeakers and a plurality of source directions;
obtaining a mode matrix from the source directions and an order of the ambisonics audio soundfield representation;
obtaining a base matrix from the mode matrix; and
decoding the ambisonics audio soundfield representation with a decoding matrix, wherein the decoding matrix is based on the panning function and the base matrix, the source directions are distributed evenly over a unit sphere, and a number of the source directions is S, the order of the ambisonics audio soundfield representation is N, and S≧(N+1) 2 .