Abstract
Active noise control (ANC) systems employing adaptive filters suffer from stability issues in the presence of impulsive noise. To overcome this limitation, new methods must be investigated. In this paper, we propose the filtered-x state-space recursive least square (FxSSRLS), an SSRLS-based practical and adaptive algorithm for ANC. Computer simulations are executed to verify the enhanced performance of the FxSSRLS algorithm. Symmetric α-stable (SαS) distributions are used to model impulsive noise. The results show that the proposed FxSSRLS algorithm is more robust in eliminating high-peaked impulses than the recently reported algorithms for ANC applications. Moreover, the suggested solution exhibits better stability and faster convergence, without jeopardizing the performance of the proposed solution in terms of residual noise suppression in the presence of impulses.
Highlights
Active noise control (ANC) has been extensively used by researchers over the last two decades, due to its superior performance in canceling low-frequency noise as compared to passive methods such as enclosures, barriers, and silencers [1]
This paper develops a modified state-space recursive least square (SSRLS) (FxSSRLS) algorithm for ANC of impulsive sources being modeled as symmetric α-stable (SαS) distributions
In the practical applications where stability and fast convergence is a matter of concern, the implementation of filtered-x state-space recursive least square (FxSSRLS) in the ANC system can be handled by the latest DSPs
Summary
Active noise control (ANC) has been extensively used by researchers over the last two decades, due to its superior performance in canceling low-frequency noise as compared to passive methods such as enclosures, barriers, and silencers [1]. Due to its simplicity and low computational complexity, the most widely used algorithm for ANC is filtered-x least mean square (FxLMS), which is designed to minimize the variance of error signal [5]. Due to the presence of the secondary path following the adaptive filter, phase mismatch occurs between the desired signal and output of the filter as shown, which degrades the performance of the ANC system.
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