Fractional-Order Hyperbolic Tangent Based Adaptive Algorithm for Feedback Control in Hearing Aids

A new method is suggested to improve the effectiveness of adaptive filters in dealing with unexpected disturbances at the error sensor. This method focuses specifically on the difficult scenario of α-stable noise in feedback cancellation for hearing aids. α-stable noise, which is distinguished by its strong tails and abrupt behavior, poses considerable difficulties for conventional adaptive algorithms. In order to tackle this issue, we propose the implementation of a fractional order hyperbolic tangent (FOHT) algorithm. Fractional order systems, which utilize non-integer order derivatives to represent intricate dynamics, provide improved adaptability and precision, especially in settings where non-Gaussian noise, such as α-stable distributions, is prevalent. The algorithm utilizes the distinct characteristics of fractional calculus to enhance the resilience and adaptability of the system, thereby reducing the influence of α-stable noise. The results of extensive simulations indicate that the FOHT algorithm outperforms existing techniques in terms of steady-state convergence and robustness.