Steady-state analysis of continuous adaptation systems for hearing aids with a delayed cancellation path

Acoustic feedback is a phenomenon that is both annoying to hearing-aid users and reduces the maximum usable gain of hearing-aid devices. To avoid acoustic feedback, continuous adaptation systems have been proposed in the past. This paper studies analytically, for the first time the steady-state convergence behavior of adaptive algorithms when operating in continuous adaptation to reduce acoustic feedback when delays are used in the cancellation path. It is shown that an improvement in the adaptive filter estimate is possible depending on the type of feedback path and on the number of delays used in the cancellation path.