Abstract In this paper, a stochastic model is proposed for the constrained normalized least-mean-square (CNLMS) algorithm, which is an adaptive algorithm that operates by minimizing the output power while maintaining unity gain for the signal-of-interest (SOI). The proposed model entails expressions describing the mean weight behavior, the evolution of the signal-to-interference-plus-noise ratio (SINR), the correlation matrix of the weight vector, and expressions for predicting the steady-state value of both the weight vector and the SINR. Simulation results are presented in the context of an adaptive antenna array to confirm the accuracy of the proposed model under different operating conditions.

中文翻译：

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CNLMS 算法应用于自适应波束成形的随机建模

摘要 在本文中，为约束归一化最小均方 (CNLMS) 算法提出了一种随机模型，该算法是一种自适应算法，通过最小化输出功率同时保持感兴趣信号 (SOI) 的单位增益进行操作。 . 所提出的模型需要描述平均权重行为的表达式、信干噪比 (SINR) 的演变、权重向量的相关矩阵以及用于预测权重的稳态值的表达式矢量和 SINR。仿真结果在自适应天线阵列的背景下呈现，以确认所提出模型在不同操作条件下的准确性。