  A spatial active noise control (ANC) method based on the individual kernel
interpolation of primary and secondary sound fields is proposed. Spatial ANC is
aimed at cancelling unwanted primary noise within a continuous region by using
multiple secondary sources and microphones. A method based on the kernel
interpolation of a sound field makes it possible to attenuate noise over the
target region with flexible array geometry. Furthermore, by using the kernel
function with directional weighting, prior information on primary noise source
directions can be taken into consideration. However, whereas the sound field to
be interpolated is a superposition of primary and secondary sound fields, the
directional weight for the primary noise source was applied to the total sound
field in previous work; therefore, the performance improvement was limited. We
propose a method of individually interpolating the primary and secondary sound
fields and formulate a normalized least-mean-square algorithm based on this
interpolation method. Experimental results indicate that the proposed method
outperforms the method based on total kernel interpolation.
