The aim of spatial active noise control (ANC) is to attenuate noise over a certain space. Although a large-scale system is required to
achieve spatial ANC, mode-domain signal processing makes it possible to reduce the computational cost and improve the performance.
A higher-order source (HOS) has an advantage in sound field control due to its controllable directivity patterns. An array of HOS
can suppress an undesired exterior sound propagation while occupying a smaller physical space than a conventional omnidirectional
loudspeaker array. In this paper, we propose two types of adaptive algorithm for spatial ANC using HOSs, which provide a trade-off
between efficiency and error robustness against loudspeaker placements. Numerical simulations in a reverberant environment show the
efficacy of the proposed algorithms compared with the conventional multipoint adaptive spatial ANC algorithm.