Abstract This paper presents a method called subband averaging kurtogram (SAK), incorporating with dual-tree complex wavelet packet transform (DTCWPT), to improve performance of the fast kurtogram (FK) for rotating machinery fault diagnosis. The proposed method first segments a signal into M sub-signals by a sliding window, then computes the kurtosis of subbands obtained by DTCWPT of each sub-signal. Finally, average kurtosis of corresponding subbands are calculated to obtain the SAK, which indicates the optimal frequency band for the envelope analysis. The FK is easily misled by non-Gaussian noise (e.g., sporadic impulse interferences) whereas the SAK can overcome this problem. Moreover, the DTCWPT simultaneously subdivides bands at high and low frequencies, offers the desirable property of approximate shift-invariance and meanwhile remains less computationally expensive. When the original DTCWPT iterates filter banks on the high-pass channel, the obtained subbands of a signal are not arranged in monotone order of the center frequency. This problem can be resolved by exchanging the inverted filter banks based on their band-pass properties. The proposed method provides improved performance compared to FK, in particular, for extracting periodic transients from noisy signals containing a variety of interferences. A simulation case and two applications to fault diagnosis of a planetary gearbox and a rolling bearing validate the effectiveness and improvements of the proposed method.

中文翻译：

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带双树复小波包变换的子带平均峰图用于旋转机械故障诊断

摘要 本文提出了一种称为子带平均峰图（SAK）的方法，结合双树复小波包变换（DTCWPT），以提高旋转机械故障诊断的快速峰图（FK）的性能。该方法首先通过滑动窗口将一个信号分割成M个子信号，然后计算每个子信号的DTCWPT得到的子带峰度。最后，计算相应子带的平均峰度以获得SAK，它表示包络分析的最佳频带。FK 很容易被非高斯噪声（例如，偶发脉冲干扰）误导，而 SAK 可以克服这个问题。此外，DTCWPT 同时细分高频和低频频段，提供了近似平移不变性的理想特性，同时保持较低的计算成本。原始DTCWPT在高通通道上迭代滤波器组时，得到的信号子带并不是按照中心频率的单调顺序排列的。这个问题可以通过根据带通特性交换反相滤波器组来解决。与 FK 相比，所提出的方法提供了改进的性能，特别是用于从包含各种干扰的噪声信号中提取周期性瞬态。行星齿轮箱和滚动轴承故障诊断的仿真案例和两个应用验证了所提出方法的有效性和改进。得到的信号子带不是按照中心频率的单调顺序排列的。这个问题可以通过根据带通特性交换反相滤波器组来解决。与 FK 相比，所提出的方法提供了改进的性能，特别是用于从包含各种干扰的噪声信号中提取周期性瞬态。行星齿轮箱和滚动轴承故障诊断的仿真案例和两个应用验证了所提出方法的有效性和改进。得到的信号子带不是按照中心频率的单调顺序排列的。这个问题可以通过根据带通特性交换反相滤波器组来解决。与 FK 相比，所提出的方法提供了改进的性能，特别是用于从包含各种干扰的噪声信号中提取周期性瞬态。行星齿轮箱和滚动轴承故障诊断的仿真案例和两个应用验证了所提出方法的有效性和改进。用于从包含各种干扰的噪声信号中提取周期性瞬变。行星齿轮箱和滚动轴承故障诊断的仿真案例和两个应用验证了所提出方法的有效性和改进。用于从包含各种干扰的噪声信号中提取周期性瞬变。行星齿轮箱和滚动轴承故障诊断的仿真案例和两个应用验证了所提出方法的有效性和改进。