CAJ | 학술논문

针对数学形态学结构元素无法动态调整尺寸的问题，结合量子理论提出一种基于非线性量子比特的形态滤波方法，提升形态学的机械振动信号处理效果。分析机械信号与量子理论结合的可行性，并在此基础上构建机械振动信号的峰值波谷的量子表达形式；结合振动信号的最大值和最小值，通过数学分析提出非线性量子比特的表达式，用于表达振动信号的瞬时状态；根据振动信号邻域的关联性，分析振动信号的局部特点，建立振动信号的三量子位系统；根据机械振动信号的峰值波谷的量子表达形式，在三量子位系统的框架内，提出机械振动信号在量子概率特征下的结构元素尺寸收缩算子，并基于尺寸收缩算子实现结构元素长度的自适应调整。运用轴承故障信号进行分析，结果表明，该方法能够比传统方法更加有效地提取出故障脉冲信息。
침대수학형태학결구원소무법동태조정척촌적문제，결합양자이론제출일충기우비선성양자비특적형태려파방법，제승형태학적궤계진동신호처리효과。분석궤계신호여양자이론결합적가행성，병재차기출상구건궤계진동신호적봉치파곡적양자표체형식；결합진동신호적최대치화최소치，통과수학분석제출비선성양자비특적표체식，용우표체진동신호적순시상태；근거진동신호린역적관련성，분석진동신호적국부특점，건립진동신호적삼양자위계통；근거궤계진동신호적봉치파곡적양자표체형식，재삼양자위계통적광가내，제출궤계진동신호재양자개솔특정하적결구원소척촌수축산자，병기우척촌수축산자실현결구원소장도적자괄응조정。운용축승고장신호진행분석，결과표명，해방법능구비전통방법경가유효지제취출고장맥충신식。
Aiming at the problem that mathematical morphology structuring element is unable to adjust its length dynamically, a morphological filtering method using nonlinear quantum bit integrating quantum theory is presented, to enhance mechanical vibration signal processing effect of morphology. Firstly the feasibility of combination between mechanical signal and quantum theory is analyzed. Based on the analysis, the quantum expressions of crest and trough in mechanical vibration signal are presented. Then combining both maximum and minimum of vibration signal, an expression of nonlinear quantum bit is proposed after mathematical analysis, which is used to depict the instantaneous state of vibration signal. The next according to the relevance in the neighbourhood of mechanical vibration signal, a quantum system with multiple quantum bits for mechanical vibration signals is proposed after local characteristics of vibration signals are analyzed. Based on the quantum expressions of crest and trough in mechanical vibration signal, a structuring element length shrinkadge operator using quantum probability is proposed for mechanical vibration signals in the framework of quantum system with multiple quantum bits. Based on the length shrinkadge operator, the length of structuring element achieves adaptive adjustment. An example of bearing fault diagnosis is given and gets a good result which indicates that this method is more effective in extracting fault pulse information than that using a conventional method.