摘要
In order to de-noise and filter the acoustic emission(AE) signal, the adaptive filtering technology is applied to AE signal processing in view of the special attenuation characteristics of burst AE signal. According to the contradiction between the convergence speed and steady-state error of the traditional least mean square(LMS) adaptive filter, an improved LMS adaptive filtering algorithm with variable iteration step is proposed on the basis of the existing algorithms. Based on the Sigmoid function, an expression with three parameters is constructed by function translation and symmetric transformation.As for the error mutation, e(k) and e(k-1) are combined to control the change of the iteration step. The selection and adjustment process of each parameter is described in detail, and the MSE is used to evaluate the performance. The simulation results show that the proposed algorithm significantly increases the convergence speed, reduces the steady-state error, and improves the performance of the adaptive filter. The improved algorithm is applied to the AE signal processing, and the experimental signal is demodulated by an empirical mode decomposition(EMD) envelope to obtain the upper and lower envelopes. Then, the expected function related to the AE signal is established. Finally, the improved algorithm is substituted into the adaptive filter to filter the AE signal. A good result is achieved, which proves the feasibility of adaptive filtering technology in AE signal processing.
为了对声发射信号进行降噪滤波处理,针对突发性声发射信号特有的衰减特性,将自适应滤波技术应用到声发射信号处理中.针对传统LMS自适应滤波器收敛速度与稳态误差的矛盾问题,在对比研究现有算法的基础上,提出一种改进的变步长LMS自适应滤波算法,以Sigmoid函数为原型,通过函数平移、对称变换构建含有3个参数的表达式,同时针对误差突变的情况,将前后误差e(k)与e(k-1)相乘来联合控制改变步长因子,并阐述了各个参数的选取与调整过程,以均方误差MSE为衡量指标来评价性能.仿真结果表明该算法显著提高了收敛速度,降低了稳态误差,使自适应滤波器的性能得到提升.把改进算法应用到声发射信号中,将实验信号通过EMD包络解调获得其上下包络线,再建立与声发射信号相关的期望函数,最后代入自适应滤波器中进行滤波处理,取得了很好的效果,证明了自适应滤波技术在声发射信号处理中的可行性.
基金
The National Natural Science Foundation of China(No.51575101)
