The use of the wavelet transform in the detection of an unknown transient signal
The use of the wavelet transform in the detection of an unknown transient signal
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DOI：
10.1109/18.119748
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发表时间：
1992-03
期刊：
影响因子：
--
通讯作者：
M. Frisch;H. Messer
中科院分区：
文献类型：
--
作者：
M. Frisch;H. Messer
对于噪声中不完全已知信号的检测，通常不存在统一的最强大的测试，因此检测器的性能取决于信号的表示。讨论了利用信号的小波表示来执行一种新的检测方案。说明了使用这种特殊表示的优点。结果表明，有关待检测信号的相对带宽和时间带宽积的先验信息被有效地纳入到检测问题的公式中。因此，当信号的时间-带宽积和相对带宽的先验信息存在时，该检测方案最适合于未知暂态信号的检测。在这些情况下，基于小波表示的检测器比任何其他检测器性能更好。讨论了所提出的探测器的结构，并利用蒙特卡罗模拟对其性能进行了评价。>
For the detection of a not-perfectly-known signal in noise, usually no uniformly most powerful test exists, and thus a detector performance depends on the signal representation. The use of the wavelet representation of signals to perform a new detection scheme is discussed. The advantage of using this particular representation is shown. It is shown that prior information regarding the relative bandwidth and the time-bandwidth-product of the signal to be detected is efficiently incorporated into the detection problem formulation. Thus, the proposed detection scheme is most suitable for detection of unknown transient signals when prior information about the signal time-bandwidth product and relative bandwidth exists. In these cases, the wavelet-representation-based detector performs better than any other. The structure of the proposed detectors is discussed and its performance is evaluated using Monte Carlo simulations. >