融合量子理论的结构元素尺寸自适应调整策略

Adaptive Adjustment Strategy of Structuring Element Length Integrating Quantum Theory

受量子理论启发,提出一种针对数学形态学结构元素尺寸自适应调整的新策略,以达到更优的冲击响应信号形态学提取效果。首先,结合量子理论建立起振动信号的量子系统,在此基础上提出了振动信号的量子比特数学表达式,用于刻画振动信号的状态;然后,针对机械振动信号的局部特点,分析1×3邻域的振动信号相关性,提出了机械振动信号在量子概率特征下的结构元素尺寸衡量算子;最后,依据尺寸衡量算子和自适应控制结构元素的长度达到更优的滤波效果。利用该策略对轴承冲击故障信号进行形态滤波,并与传统方法进行了比较,结果表明该方法可以有效提取信号的全局和局部特征。

Inspired by quantum theory,a novel adaptive adjustment strategy of structuring element length used for mathematical morphology is proposed,aiming at achieving better morphological extraction performance for shock response signals.First,aquantum system for vibration signals is presented using the quantum theory.On this basis,a mathematical expression of vibration signal quantum bits is given to describe the vibration signal states.Then,aiming at the local characteristics of mechanical vibration signals and correlative characteristics in 1×3neighborhoods,a structuring element length measurement operator using quantum probability is proposed for mechanical vibration signals.Finally,the length of the structuring element is adjusted using the length measurement operator to adaptively control structuring element length,and a better filtering effect is achieved.An example using the strategy to filter the impact fault signals of bearings is given,and the result is compared to that detected with a conventional method.The results show that the proposed method can effectively extract both global and local information.