Most studies of adaptive algorithm behavior consider performance measures based on mean values such as the mean-square error. The derived models are useful for understanding the algorithm behavior under different environments and can be used for design. Nevertheless, from a practical point of view, the adaptive filter user has only one realization of the algorithm to obtain the desired result. This letter derives a model for the variance of the squared-error sample curve of the least-mean-square (LMS) adaptive algorithm, so that the achievable cancellation level can be predicted based on the properties of the steady-state squared error. The derived results provide the user with useful design guidelines.

翻译：大多数关于自适应算法行为的研究都基于均值性能指标（如均方误差）进行建模。这些推导出的模型有助于理解算法在不同环境下的行为，并可用于设计。然而，从实际应用角度来看，自适应滤波器用户仅能通过单次算法实现获得期望结果。本文推导了最小均方（LMS）自适应算法均方误差样本曲线的方差模型，从而能够根据稳态均方误差的特性预测可实现的抵消水平。推导结果为用户提供了实用的设计准则。