Title :
Sound Field Reproduction using the Lasso
Author :
Lilis, Georgios N. ; Angelosante, Daniele ; Giannakis, Georgios B.
Author_Institution :
Dept. of Electr. & Comput. Eng., Univ. of Minnesota, Minneapolis, MN, USA
Abstract :
Reproducing a sampled sound field using an array of loudspeakers is a problem with well-appreciated applications to acoustics and ultrasound treatment. Loudspeaker signal design has traditionally relied on (possibly regularized) least-squares (LS) criteria. In many cases however, the desired sound field can be reproduced using only a few loudspeakers, which are sparsely distributed in space. To exploit this feature, the fresh look advocated here permeates benefits from advances in variable selection and compressive sampling to sound field synthesis by formulating a sparse linear regression problem that is solved using the least-absolute shrinkage and selection operator (Lasso). An efficient implementation of the Lasso for the problem at hand is developed based on a coordinate descent iteration. Analysis and simulations demonstrate that Lasso-based sound field reproduction yields better performance than LS especially at high frequencies and for reproduction of under-sampled sound fields. In addition, Lasso-based synthesis enables judicious placement of loudspeaker arrays.
Keywords :
audio signal processing; iterative methods; loudspeakers; regression analysis; signal sampling; sound reproduction; coordinate descent iteration; lasso; least-absolute-shrinkage-and-selection operator; loudspeaker arrays; sound compressive sampling; sound field reproduction; sound field synthesis; sparse linear regression problem; Acoustic applications; Analytical models; Frequency; Input variables; Linear regression; Loudspeakers; Performance analysis; Sampling methods; Signal design; Ultrasonic imaging; Lasso; Sound reproduction; compressive sampling; least-squares (LS); loudspeaker positioning; sparse regression;
Journal_Title :
Audio, Speech, and Language Processing, IEEE Transactions on
DOI :
10.1109/TASL.2010.2040523