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中文核心期刊

正交匹配追踪优化稀疏频散Radon变换多模式导波分离方法

Orthogonal matching pursuit optimized sparse dispersive Radon transform for ultrasonic guided mode separation

  • 摘要: 原始频散Radon变换(DRT)方法中的有限孔径效应以及算子非正交性影响了 DRT导波信号参数提取的精度, 因此提出了一种稀疏频散Radon变换方法以实现更精确的导波混叠模式分离和参数估计。该方法基于导波信号的参数域稀疏性, 引入正交匹配追踪算法构造代价函数, 经多次迭代在频散Radon域中获得稀疏能量谱, 可精确分离阵列导波信号中的混叠模式并去噪。对不同信噪比下各模式仿真信号, 稀疏DRT方法的信号重建误差较原始频散Radon变换方法下降51.1%。仿真和实验验证了所提算法在导波模式参数提取和混合模式分离方面的可靠性。

     

    Abstract: To overcome the limitations of finite aperture effect and operator non-orthogonality in the original dispersive Radon transform (DRT) method, a sparse dispersive Radon transform method is proposed to achieve more accurate guided wave mode separation and parameter estimation. Based on the sparsity of guided wave signal, the sparse DRT method introduces the orthogonal matching pursuit (OMP) algorithm to construct the cost function, and obtains the sparse energy representation in the DRT domain through multiple iterations, accurately separating the aliasing mode and denoising. For simulated signals with different signal-to- noise ratio (SNR), the signal reconstruction error of sparse DRT method is reduced by 51.1% compared with the original DRT method. Simulation and experiment demonstrate the feasibility of the proposed sparse DRT method for multimode separation and parameter estimation.

     

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