考虑信号特点的合成量子启发结构元素

Compound quantum-inspired structuring element considering signal characteristics

受量子理论启发,结合数学形态滤波器中的膨胀算子,提出合成量子启发结构元素(Compound quantum-inspired structuring element,CQSE),用于增强故障振动信号中的冲击响应成分。CQSE综合考虑了信号的局部特征和随机性,其高度能够跟随信号的变化进行动态调整。首先,建立了量子启发结构元素(Quantum-inspired structuring element,QSE)的基本数学表达式。随后,采用峭度描述冲击响应信号的局部特征,并用于生成QSE在实数空间的单一形式(Single form in real space,SFRS)的高度;采用信号的归一化振动大小描述信号的随机性,并用于计算不同SFRS出现的量子概率。然后,结合量子概率,通过数学期望,对不同的SFRS进行合成,获得应用于膨胀算子的CQSE。最后,将CQSE应用于轴承故障诊断,有效地增强了故障信息。

Inspired by the quantum theory, a Compound Quantum-inspired Structuring Element （CQSE） based on morphological dilation operator is proposed to enhance shock response component of fault vibration signals. The CQSE considers both the local feature and stochastic characteristics of the signals, therefore, COSE adjusts its height dynamically according to signal. First, the basic expression of Quantum-inspired Structuring Element （QSE） is proposed. Second, the kurtosis, which is employed to describe the local feature of shock response signals, is utilized to generate the height of Single Form in Real Space （SFRS） of QSE; the normalized signal, which is employed to describe the stochastic characteristics of signals, is utilized to compute quantum-inspired probability of each SFRS. Third, combing quantum-inspired probability with mathematical expectation, the CQSE for morphological dilation operator is obtained. Finally, the CQSE is applied to bear fault diagnosis and enhance the fault information effectively.