Convergence analysis of narrow-band active noise control system

This paper presents the convergence analysis of the filtered-X least mean s quare algorithm for narrow-band active noise control with direct-form reali zation. Theoretical bounds are established for the maximum eigenvalue and t he eigenvalue spread of the reference signal's covariance matrix, which in turn provide insight into algorithm convergence and optimization. In order to improve the convergence speed, amplitudes of sinusoidal reference signal s are chosen to be the inverse of the magnitude responses of the secondary path at the corresponding frequencies.