TY - JOUR
T1 - Theory and design of soundfield reproduction using continuous loudspeaker concept
AU - Wu, Yan Jennifer
AU - Abhayapala, Thushara D.
PY - 2009/1
Y1 - 2009/1
N2 - Reproduction of a soundfield is a fundamental problem in acoustic signal processing. A common approach is to use an array of loudspeakers to reproduce the desired field where the least-squares method is used to calculate the loudspeaker weights. However, the least-squares method involves matrix inversion which may lead to errors if the matrix is poorly conditioned. In this paper, we use the concept of theoretical continuous loudspeaker on a circle to derive the discrete loudspeaker aperture functions by avoiding matrix inversion. In addition, the aperture function obtained through continuous loudspeaker method reveals the underlying structure of the solution as a function of the desired soundfield, the loudspeaker positions, and the frequency. This concept can also be applied for the 3-D soundfield reproduction using spherical harmonics analysis with a spherical array. Results are verified through computer simulations.
AB - Reproduction of a soundfield is a fundamental problem in acoustic signal processing. A common approach is to use an array of loudspeakers to reproduce the desired field where the least-squares method is used to calculate the loudspeaker weights. However, the least-squares method involves matrix inversion which may lead to errors if the matrix is poorly conditioned. In this paper, we use the concept of theoretical continuous loudspeaker on a circle to derive the discrete loudspeaker aperture functions by avoiding matrix inversion. In addition, the aperture function obtained through continuous loudspeaker method reveals the underlying structure of the solution as a function of the desired soundfield, the loudspeaker positions, and the frequency. This concept can also be applied for the 3-D soundfield reproduction using spherical harmonics analysis with a spherical array. Results are verified through computer simulations.
KW - Array of loudspeakers
KW - Continuous loudspeaker multichannel audio
KW - Soundfield reproduction
UR - http://www.scopus.com/inward/record.url?scp=70350568745&partnerID=8YFLogxK
U2 - 10.1109/TASL.2008.2005340
DO - 10.1109/TASL.2008.2005340
M3 - Article
SN - 1558-7916
VL - 17
SP - 107
EP - 116
JO - IEEE Transactions on Audio, Speech and Language Processing
JF - IEEE Transactions on Audio, Speech and Language Processing
IS - 1
M1 - 4723693
ER -