基于涡旋声波的二维角域高分辨成像方法OA
A High-resolution Two-dimensional Angular-domain Imaging Method Based on Acoustic Vortex Waves
针对涡旋声波二维角域成像中传统后向投影方法对高阶轨道角动量(OAM)模态依赖较强的问题,提出一种基于稀疏贝叶斯学习的高分辨重构方法.基于已有均匀圆形阵列声学 OAM 多发单收回波模型,分析相邻散射点相关函数,推导俯仰分辨率与阵列孔径、目标俯仰角之间的关系;进一步构建多频-多模态联合观测模型,实现二维角域等效散射系数重构,并引入统计门限策略提升噪声条件下的稳健性.仿真结果表明:点扩散函数主瓣宽度变化与理论分析一致;在四点散射目标场景中,稀疏贝叶斯学习方法在OAM 模态范围为[-10,10]时即可有效区分目标,而传统后向投影方法需扩展至[-100,100]才能获得较清晰结果.在13 dB信噪比条件下,增强SBL较传统SBL具有更稳定的重构表现.结果表明,所提方法可在有限模态条件下提高涡旋声波二维角域成像分辨率.
To address the heavy reliance of conventional back-projection methods on high-order orbital an-gular momentum(OAM)modes in two-dimensional angular-domain imaging with acoustic vortex waves,a high-resolution reconstruction method based on sparse Bayesian learning(SBL)is proposed.Based on an exist-ing multiple-input single-output echo model for acoustic OAM waves generated by a uniform circular ar-ray,the correlation function between adjacent scatterers is analyzed,and the relationship among elevation resolution,array aperture,and target elevation angle is derived.Furthermore,a multi-frequency and multi-mode joint observation model is then constructed to reconstruct the equivalent scattering coefficients in the two-dimen-sional angular domain,and a statistical thresholding strategy is incorporated to improve robustness under noisy con-ditions.Simulation results show that the variation in the mainlobe width of the point spread function is consistent with the theoretical analysis.In a four-point scattering target scenario,the SBL based method can effectively dis-tinguish the targets with an OAM mode range of[-10,10],whereas the conventional back-projection method requires an extended range of[-100,100]to yield comparably clear results.At a signal-to-noise ratio of 13 dB,the enhanced SBL method exhibits more stable reconstruction performance than conventional SBL.These results indicate that the proposed method can improve the resolution of two-dimensional angular-domain imaging using acoustic vortex waves even with a limited-mode conditions.
田冠华;郝国栋;张艺杰;张鹏程;韩建宁
中北大学信息与通信工程学院,山西 太原 030051国防科技大学气象海洋学院,湖南 长沙 410073中北大学信息与通信工程学院,山西 太原 030051中北大学信息与通信工程学院,山西 太原 030051山西师范大学物理与电子工程学院,山西 太原 030031
通用工业技术
涡旋声波轨道角动量二维成像稀疏贝叶斯学习
acoustic vortex wavesorbital angular momentumtwo-dimensional imagingsparse Bayes-ian learning
《机械与电子》 2026 (7)
23-30,8
山西省回国留学人员科研资助项目(2023-127)山西省自然科学基金面上资助项目(20210302124201)
评论