We have over 12,000 students, from over 100 countries, within one of the safest campuses in the UK


93% of Lancaster students go into work or further study within six months of graduating

Home > Research > Publications & Outputs > A computationally efficient adaptive IIR soluti...
View graph of relations

« Back

A computationally efficient adaptive IIR solution to active noise and vibration control systems

Research output: Contribution to journalJournal article


Associated organisational unit

Journal publication date11/2010
Journal IEEE Transactions on Automatic Control
Number of pages6
Original languageEnglish


In spite of special advantages of IIR filters in active noise and vibration control (ANVC) applications, the multimodal error surface and instability problem of adaptive IIR filters has prevented its extensive use. To alleviate these problems, in this paper, a new RLS-based fast array adaptive IIR filters in ANVC applications is proposed. The algorithm is developed with slow adaptation assumption and by transforming the active noise and vibration control problem to an output-error identification problem. By derivation of the fast-array equivalent form both computational complexity and numerical stability of the proposed algorithm are improved. The geometrical illustration of the algorithm, in a simple case, is also given to unify and complete its mathematical formulation. In spite of low computational complexity of the order O(n), simulation results confirm high convergence speed of the proposed algorithm and also its ability to reach the lower minimum mean square error in comparison with commonly used adaptive IIR algorithms in ANVC systems.