Abstract Analysis of discrete estimates of bi-periodically correlated random processes (BPCRP)—mathematical models of signals with double stochastic periodicity was performed using least squares (LS) technique. It is shown that LS utilization allows to avoid systematic errors related to leakage effect. Expressions for estimate bias and dispersion were obtained, allowing determination systematic and mean square errors depending on discretization step, sample number and signal parameters were obtained. For quadrature BPCRP model discrete and continuous dispersions of LS estimation of correlation components were compared. Recommendations for discretization step are given.

中文翻译：

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双周期相关随机信号相关函数的离散LS估计

摘要 双周期相关随机过程 (BPRPP) 的离散估计分析 - 使用最小二乘 (LS) 技术执行具有双随机周期的信号的数学模型。结果表明，LS 的利用可以避免与泄漏效应相关的系统误差。获得了估计偏差和分散的表达式，允许根据离散化步骤、样本数量和信号参数确定系统误差和均方误差。对于正交 BPRP 模型，比较了相关分量的 LS 估计的离散和连续离散。给出了离散化步骤的建议。