In this letter, we aim to apply Nuttall's power-law processor, for which available data are raised to a power prior to summation, to the detection of variable length transient signals. The available data are often couched in frequency domain, where aggregation of transient signal energy into relatively small number of frequency bins is achieved by matching the DFT size with the transient length. However, without prior knowledge of the transient duration, performance degrades due to mismatch and the spread of transient energy over frequency bins as a result. A simple segmentation scheme is proposed to deal with the mismatch problem by exploiting robustness of power-law processor and contiguity of transients in time domain. Performance of the proposed segmentation scheme is evaluated, and is compared with two time domain detectors with and without the prior knowledge of transient length.

中文翻译：

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用于可变长度瞬态检测的幂律处理器分段


在这封信中，我们的目标是应用纳托尔的幂律处理器来检测可变长度瞬态信号，该处理器将可用数据在求和之前进行幂运算。可用数据通常在频域中表达，其中通过将 DFT 大小与瞬态长度相匹配来将瞬态信号能量聚合到相对较少数量的频率仓中。然而，如果事先不知道瞬态持续时间，性能会由于不匹配以及瞬态能量在频率段上的扩散而降低。提出了一种简单的分段方案，通过利用幂律处理器的鲁棒性和时域瞬态的连续性来处理失配问题。评估了所提出的分割方案的性能，并与具有和不具有瞬态长度先验知识的两个时域检测器进行比较。