title: Multichannel active noise control for spatially sparse noise fields.
abstract: Multi-channel active noise control (ANC) is currently an attractive solution for the attenuation of low-frequency noise fields, in three-dimensional space. This paper develops a controller for the case when the noise source components are sparsely distributed in space. The anti-noise signals are designed as in conventional ANC to minimize the residual errors but with an additional term containing an ℓlnorm regularization applied to the signal magnitude. This results in that only secondary sources close to the noise sources are required to be active for cancellation of sparse noise fields. Adaptive algorithms with low computational complexity and faster convergence speeds are proposed.
authors.affiliation: School of Electrical Engineering and Automation, Harbin Institute of Technology, Harbin Heilongjiang 150001, China jihui.zhang@anu.edu.au.
authors.forename: Jihui
authors.initials: J
authors.lastname: Zhang
authors.affiliation: Research School of Engineering, College of Engineering and Computer Science, The Australian National University, Canberra, ACT 2601, Australia thushara.abhayapala@anu.edu.au, prasanga.samarasinghe@anu.edu.au, wen.zhang@anu.edu.au.
authors.forename: Thushara D
authors.initials: TD
authors.lastname: Abhayapala
authors.affiliation: Research School of Engineering, College of Engineering and Computer Science, The Australian National University, Canberra, ACT 2601, Australia thushara.abhayapala@anu.edu.au, prasanga.samarasinghe@anu.edu.au, wen.zhang@anu.edu.au.
authors.forename: Prasanga N
authors.initials: PN
authors.lastname: Samarasinghe
authors.affiliation: Research School of Engineering, College of Engineering and Computer Science, The Australian National University, Canberra, ACT 2601, Australia thushara.abhayapala@anu.edu.au, prasanga.samarasinghe@anu.edu.au, wen.zhang@anu.edu.au.
authors.forename: Wen
authors.initials: W
authors.lastname: Zhang
authors.affiliation: School of Electrical Engineering and Automation, Harbin Institute of Technology, Harbin Heilongjiang 150001, China jsd@hit.edu.cn.
authors.forename: Shouda
authors.initials: S
authors.lastname: Jiang