高级检索

相-幅优化的单通道同频混叠超声信号分离方法

A Phase–Amplitude Joint Optimization Method for Single-Channel Same-Frequency Signal Separation

  • 摘要: 金属零件缺陷之间过于接近时,其超声导波信号波形混叠且频谱重叠,易被误判为单一缺陷,降低定位精度。本文提出一种相位–幅值联合优化的单通道同频信号分离方法,通过构建相位指纹库,利用同频信号的内在相位差异,实现混合信号中不同相位偏移的识别与重叠区间的检测,实现子信号幅值的准确恢复,无需统计独立性假设;将信号分离问题建模为带正则化的线性组合问题,构建基于 Tikhonov 正则化的目标函数,并采用贝叶斯优化自适应确定正则化参数,以兼顾重构精度与数值稳定性。数值仿真结果表明,该方法在SNR=0 dB 时原始信号与分离重构信号的决定系数为0.98836,并在强重叠条件下保持稳定分离。超声导波检测实验验证了分离后缺陷定位误差最少可由1.73mm (1.648%)降低至0.55 mm (0.524%)。结果表明,相位–幅值联合优化方法在双分量、单通道、存在可辨识非重叠区间的同频混叠回波中具有较好的分离能力和定位应用潜力。

     

    Abstract: When defects in metallic components are located in close proximity, the corresponding ultrasonic guided-wave echoes tend to overlap in the time domain and interfere in the frequency domain—potentially causing multiple defects to be erroneously identified as a single flaw and thereby reducing localization accuracy. To address this issue, this study proposes a single-channel separation approach for same-frequency mixed signals based on Phase–Amplitude Joint Optimization (PA-JO). By constructing a phase fingerprint library and leveraging the intrinsic phase differences among co-frequency signals, the method enables identification of distinct phase shifts in mixed signals and detection of overlapping regions, thereby achieving accurate amplitude recovery of constituent sub-signals—without requiring the assumption of statistical independence. The signal separation problem is formulated as a regularized linear combination problem. An objective function based on Tikhonov regularization is constructed, and Bayesian optimization is employed to adaptively determine the regularization parameters, thus balancing reconstruction accuracy and numerical stability. Numerical simulation results show that, at a signal-to-noise ratio of 0 dB, the coefficient of determination (R2) between the original signal and the separated–reconstructed signal is 0.98836, while maintaining stable separation under conditions of strong overlap. Experimental ultrasonic guided-wave tests confirm that the defect localization error after separation decreases from a minimum of 1.73 mm (1.648%) to 0.55 mm (0.524%). These results demonstrate that the PA-JO method can effectively separate co-frequency mixed echoes without imposing independence or sparsity constraints, thereby providing a reliable basis for quantitative localization of adjacent defects.

     

/

返回文章
返回