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

作　　者：郑书航 陈洪磊 凌非尧 许凯亮 他得安[1,2,4] ZHENG Shuhang;CHEN Honglei;LING Feiyao;XU Kailiang;TA De'an(Department of Biomedical Engineering,School of Information Science and Technology,Fudan University,Shanghai 200438;State Key Laboratory of Integrated Chips and Systems,Fudan University,Shanghai 201203;Yiwu Research Institute of Fudan University,Yiwu 322000;Institute of Biomedical Engineering and Technology,Academy for Engineering and Technology,Fudan University,Shanghai 200433)

机构地区：[1]复旦大学信息科学与工程学院生物医学工程系,上海200438 [2]复旦大学集成芯片与系统全国重点实验室,上海201203 [3]复旦大学义乌研究院,义乌322000 [4]复旦大学工程与应用技术研究院生物医学工程技术研究所,上海200433

出　　处：《声学学报》2024年第3期371-380,共10页Acta Acustica

基　　金：浙江省自然科学基金项目(LY24A040007)资助。

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。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-tonoise 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.

关 键 词：超声导波 模式分离 频散Radon变换 正交匹配追踪 

分 类 号：TB553[理学—物理]