We determine the upper limit on the correct measurement disambiguation probability in multiscale phase-measuring systems in which all scales are ambiguous. The measured value is estimated by the maximum likelihood method from the total of measured phase differences supplemented by an algorithm for rejecting (erasing) measurement results with anomalously large errors. Errors that exceed one-half of the main lobe of the likelihood function are considered anormalously large. The results are obtained by the methods of linear algebra with a geometric interpretation of the measurement disambiguation process in the space of total phase differences. The method was applied to phase direction finders, but can easily be adapted to other types of multiscale phase radio systems.

中文翻译：

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多尺度相位测量系统中测量歧义消除的极端概率特征

我们在所有尺度都模棱两可的多尺度相位测量系统中确定正确的测量消除歧义概率的上限。通过最大似然法从总的测量相位差中估算出测量值，该相差由算法补充，用于拒绝（擦除）异常大的测量结果。超过似然函数主瓣一半的误差通常被认为是很大的。结果是通过线性代数方法获得的，其中在总相位差的空间中对测量消歧过程进行了几何解释。该方法已应用于相位方向发现器，但可以轻松地适用于其他类型的多尺度相位无线电系统。