Nonlinear Matched Filters via Chen–Fliess Series
Nonlinear Matched Filters via Chen–Fliess Series
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DOI：
10.1109/cdc42340.2020.9304465
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发表时间：
2020-12
期刊：
影响因子：
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通讯作者：
W. Gray
中科院分区：
文献类型：
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作者：
W. Gray
介绍了一类适用于利用Chen-Fliess泛函级数检测问题的非线性匹配滤波器。这样的级数可以看作是泰勒级数的非交换类似物。它们是用在一组不可交换的符号上以单词为索引的迭代积分的加权和来表示的。主要目标是在该类中确定在给定时刻使信噪比最大化的滤波器集，以便为检测已知信号提供统计数据。
A class of nonlinear matched filters is introduced suitable for detection problems using Chen–Fliess functional series. Such series can be viewed as a noncommutative analogue of Taylor series. They are written in terms of a weighted sum of iterated integrals indexed by words over a noncommuting set of symbols. The primary goal is to identify within this class the set of filters which maximizes the signal-to-noise ratio at a given time instant in order to provide a statistic for detecting a known signal.