Lyapunov tuning of the leaky LMS algorithm for single-source, single-point noise cancellation
Lyapunov tuning of the leaky LMS algorithm for single-source, single-point noise cancellation
复制标题
用于单源、单点噪声消除的泄漏 LMS 算法的 Lyapunov 调整
DOI：
10.1109/acc.2001.946193
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发表时间：
2003
期刊：
影响因子：
--
通讯作者：
R. Collier
中科院分区：
文献类型：
--
作者：
D. Cartes;L. Ray;R. Collier
LMS 算法存在与激励不足、非平稳参考输入、有限精度算术、量化噪声和测量噪声相关的性能问题。这些因素会导致传统 LMS 算法的权重漂移和潜在的不稳定。在这里，我们分析了广泛用于校正权重漂移的 Leaky LMS 算法的稳定性和性能。开发了李亚普诺夫调谐方法来找到自适应泄漏参数和步长，以提供最佳性能并在参考输入上存在测量噪声的情况下保持稳定性。该方法考虑了非持续激励条件和非平稳参考输入，并且除了其幅度或最小信噪比的下限之外不需要参考输入信号的先验知识。针对三种候选自适应泄漏 LMS 算法演示了调整方法。每个候选李亚普诺夫调谐算法的稳定性和性能权衡在单源、单点声学噪声消除系统中进行了实验评估。
LMS algorithms have performance issues related to insufficient excitation, nonstationary reference inputs, finite-precision arithmetic, quantization noise, and measurement noise. Such factors cause weight drift and potential instability in the conventional LMS algorithm. Here, we analyze the stability and performance of the leaky LMS algorithm, which is widely used to correct weight drift. A Lyapunov tuning method is developed to find an adaptive leakage parameter and step size that provide optimum performance and retain stability in the presence of measurement noise on the reference input. The method accounts for nonpersistent excitation conditions and nonstationary reference inputs and requires no a priori knowledge of the reference input signal other than a lower bound on its magnitude or a minimum signal-to-noise ratio. The tuning method is demonstrated for three candidate adaptive leaky LMS algorithms. Stability and performance tradeoffs of each candidate Lyapunov tuned algorithm are evaluated experimentally in a single source, single-point acoustic noise cancellation system.