Method and device for decoding an audio soundfield representation
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:
receiving a first matrix that includes gain vectors that are based on a panning based on positions of the loudspeakers and a plurality of source directions, wherein the source directions are distributed evenly over a unit sphere, a number of the source directions is S, the order of the ambisonics audio soundfield representation is N, and S ≥(N+1) 2 ;
receiving a mode matrix determined based on the source directions and an order of the ambisonics audio soundfield representation; receiving a base matrix determined based on the mode matrix and the first matrix; and
decoding the ambisonics audio soundfield representation with a decoding matrix, wherein the decoding matrix is based on the first matrix and the base matrix.
2. A device for decoding an ambisonics audio soundfield representation for playback over a plurality of loudspeakers, the device comprising:
a means for receiving a first matrix that includes gain vectors that are based on a panning based on positions of the loudspeakers and a plurality of source directions, wherein the source directions are distributed evenly over a unit sphere, a number of the source directions is S, the order of the ambisonics audio soundfield representation is N, and S ≥(N+1) 2 ;
a means for receiving a mode matrix determined based on the source directions and an order of the ambisonics audio soundfield representation;
a means for receiving a base matrix determined based on 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 first matrix and the base matrix.
3. 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:
receiving a first matrix that includes gain vectors that are a panning based on positions of the loudspeakers and a plurality of source directions, wherein the source directions are distributed evenly over a unit sphere, a number of the source directions is S, the order of the ambisonics audio soundfield representation is N, and S ≥(N+1) 2 ;
receiving a mode matrix determined based on the source directions and an order of the ambisonics audio soundfield representation;
receiving a base matrix determined based on the mode matrix and the first matrix; and
decoding the ambisonics audio soundfield representation with a decoding matrix wherein the decoding matrix is based on the first matrix and the base matrix, wherein the decoding matrix is based on the first matrix and the base matrix.