Spatial Multizone Soundfield Reproduction: Theory and Design

Spatial multizone soundfield reproduction over an extended region of open space is a complex and challenging problem in acoustic signal processing. In this paper, we provide a framework to recreate 2-D spatial multizone soundfields using a single array of loudspeakers which encompasses all spatial regions of interest. The reproduction is based on the derivation of an equivalent global soundfield consisting of a number of individual multizone soundfields. This is achieved by using spatial harmonic coefficients translation between coordinate systems. A multizone soundfield reproduction problem is then reduced to the reproduction over the entire region. An important advantage of this approach is the full use of the available dimensionality of the soundfield. This paper provides quantitative performances of a 2-D multizone system and reveals some fundamental limits on 2-D multizone soundfield reproduction. The extensions of the multizone soundfield reproduction design in reverberant rooms are also included.

[1]  Marinus M. Boone,et al.  Spatial sound-field reproduction by wave-field synthesis , 1995 .

[2]  Mark A. Poletti,et al.  An Investigation of 2-D Multizone Surround Sound Systems , 2008 .

[3]  Thushara D. Abhayapala,et al.  Multizone 2D soundfield reproduction via spatial band stop filters , 2009, 2009 IEEE Workshop on Applications of Signal Processing to Audio and Acoustics.

[4]  A. J. Berkhout,et al.  A Holographic Approach to Acoustic Control , 1988 .

[5]  Rodney A. Kennedy,et al.  On dimensionality of multipath fields: Spatial extent and richness , 2002, 2002 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[6]  Thushara D. Abhayapala,et al.  Reproduction of a plane-wave sound field using an array of loudspeakers , 2001, IEEE Trans. Speech Audio Process..

[7]  R. Rabenstein,et al.  The Theory of Wave Field Synthesis Revisited , 2008 .

[8]  Jont B. Allen,et al.  Image method for efficiently simulating small‐room acoustics , 1976 .

[9]  Michael J. Gerzon Periphony: With-Height Sound Reproduction , 1973 .

[10]  Diemer de Vries Sound reinforcement by wavefield synthesis : Adaptation of the synthesis operator to the loudspeaker directivity characteristics , 1996 .

[11]  Terence Betlehem,et al.  Theory and design of sound field reproduction in reverberant rooms. , 2005, The Journal of the Acoustical Society of America.

[12]  A. Berkhout,et al.  Acoustic control by wave field synthesis , 1993 .

[13]  Thushara D. Abhayapala,et al.  Soundfield reproduction using theoretical continuous loudspeaker , 2008, 2008 IEEE International Conference on Acoustics, Speech and Signal Processing.

[14]  D. de Vries,et al.  Wave field synthesis and analysis using array technology , 1999, Proceedings of the 1999 IEEE Workshop on Applications of Signal Processing to Audio and Acoustics. WASPAA'99 (Cat. No.99TH8452).

[15]  Thushara D. Abhayapala,et al.  Theory and Design of Soundfield Reproduction Using Continuous Loudspeaker Concept , 2009, IEEE Transactions on Audio, Speech, and Language Processing.

[16]  J. Swinburne Electromagnetic Theory , 1894, Nature.

[17]  O. Kirkeby,et al.  Reproduction of plane wave sound fields , 1993 .

[18]  Mark A. Poletti,et al.  Three-Dimensional Surround Sound Systems Based on Spherical Harmonics , 2005 .

[19]  Rodney A. Kennedy,et al.  Intrinsic Limits of Dimensionality and Richness in Random Multipath Fields , 2007, IEEE Transactions on Signal Processing.

[20]  Sascha Spors,et al.  An analytical approach to sound field reproduction with a movable sweet spot using circular distributions of loudspeakers , 2009, 2009 IEEE International Conference on Acoustics, Speech and Signal Processing.

[21]  Yan Jennifer Wu,et al.  Spatial Soundfield Reproduction with Zones of Quiet , 2009 .

[22]  Sascha Spors,et al.  SPATIAL ENCODING AND DECODING OF FOCUSED VIRTUAL SOUND SOURCES , 2009 .

[23]  Jerome Daniel,et al.  Further Investigations of High-Order Ambisonics and Wavefield Synthesis for Holophonic Sound Imaging , 2003 .

[24]  Thushara D. Abhayapala,et al.  Spatial multizone soundfield reproduction , 2009, 2009 IEEE International Conference on Acoustics, Speech and Signal Processing.

[25]  Mark A. Poletti Robust Two-Dimensional Surround Sound Reproduction for Nonuniform Loudspeaker Layouts , 2007 .

[26]  O. Kirkeby,et al.  Local sound field reproduction using digital signal processing , 1996 .

[27]  Philip A. Nelson,et al.  The Ill-Conditioning Problem in Sound Field Reconstruction , 2007 .