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 ℓ l norm regularization applied to the signal magnitude.
This results in that only secondary sources close to the noise sources are required to be …