This paper applies new analytical techniques to evaluate the stability and mean-square error (MSE) convergence of a multi-loop LMS pseudo-random noise canceller which applies to a variety of known mixed-signal circuit calibration techniques. To the authors’ knowledge, it is the first published MSE analysis of any multi-loop LMS system, and, unlike most published MSE analyses of single-loop LMS systems, it does not make any simplifying assumptions. The analysis proves that the noise canceler can be made unconditionally stable by design, and provides guidance on how to choose design parameters to achieve a desired level of noise cancellation.

中文翻译：

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用于混合信号电路校准的多环 LMS 伪随机噪声消除器的 MSE 分析

本文应用新的分析技术来评估适用于各种已知混合信号电路校准技术的多回路 LMS 伪随机噪声消除器的稳定性和均方误差 (MSE) 收敛性。据作者所知，这是对任何多回路 LMS 系统的首次公开 MSE 分析，并且与大多数已发表的单回路 LMS 系统 MSE 分析不同，它没有做出任何简化假设。分析证明噪声消除器可以通过设计实现无条件稳定，并为如何选择设计参数以实现所需的噪声消除水平提供指导。