An adaptive algorithm for periodic noise with secondary path delay estimation.

New DXHS algorithm for periodic vibration control — Numerical simulation and experimental result

“…Under the slow adaptation, i.e., under the assumption μ a k , μ φ k be small enough, the local stability analysis around the equilibrium points in the new DXHS algorithm (8) and (9) was carried in [11] by using the averaging method [12].…”

“…Then some new techniques have been proposed to improve FxLMS algorithms (e.g., [6], [7], [8] ). On the other hand, in order to overcome the issue of FxLMS, the delayed-x harmonics synthesiser (DXHS) algorithm has been proposed [9], [10], and DXHS algorithm also has been used widely. However, stability consideration in DXHS algorithm is still not enough because it sometimes becomes unstable due to estimation errors of the secondary path's transfer function.…”