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Locally optimum detection of signals in a generalized observation model: the random signal case

机译:广义观测模型中信号的局部最优检测:随机信号情况

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摘要

Locally optimum detectors for weak random signals are derived for a generalized observation model incorporating signal-dependent and multiplicative noise. It is shown that the locally optimum random-signal detectors in the generalized observation model are interesting generalizations of those that would be obtained in the purely additive noisy signal model. Examples of explicit results for the locally optimum detector test statistics are given for some typical cases. Both asymptotic and finite sample-size performances of the locally optimum detectors are considered and compared with those of other standard detector structures.
机译:推导了针对弱随机信号的局部最优检测器,用于包含信号相关和乘性噪声的广义观测模型。结果表明,广义观测模型中的局部最优随机信号检测器是那些在纯加性噪声信号模型中获得的局部检测的有趣概括。对于某些典型情况,给出了局部最佳检测器测试统计数据的显式结果示例。同时考虑了局部最优检测器的渐近性能和有限样本量性能,并将其与其他标准检测器结构的性能进行了比较。

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