Robust algorithm for active feedback control of narrowband noise

The problem of active control of narrowband acoustic noise is considered. It is shown that the proposed earlier feedback control algorithm called SONIC (self-optimizing narrowband interference canceller), based on minimization of the L₂-norm performance measure, can be re-derived using the Li approach. The resulting robust SONIC algorithm is more robust to heavy-tailed measurement noise, such as the a-stable noise, than the original SONIC.