先验超参数耦合的二维块稀疏贝叶斯学习声学成像方法
A two-dimensional block sparse Bayesian learning acoustic imaging method with coupling prior hyperparameter
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摘要: 为解决二维块稀疏声源的声学成像问题, 提出了一种先验超参数耦合的稀疏贝叶斯学习算法。针对二维块稀疏声源, 利用参数耦合方法建立贝叶斯层级模型, 通过耦合约束联合控制块稀疏声源的稀疏性促进块稀疏解, 使用期望最大化算法迭代更新超参数, 得到目标平面的声压分布, 实现声学成像。仿真设计不同结构二维块稀疏声源的数值模拟实验, 对比该算法与现有算法的性能差异, 分析模型参数、相邻区域、声源大小和信噪比对算法性能的影响并进行声学成像实验。仿真与实验结果表明, 所提方法声学成像的准确度高, 在不同结构块稀疏声源的声学成像中表现优异, 能有效解决二维块稀疏声源的声学成像问题。Abstract: In order to solve the acoustic imaging problem of two-dimensional block sparse sound sources, a sparse Bayesian learning algorithm with coupling prior hyperparameter is proposed. For two-dimensional block sparse sound source, a Bayesian hierarchical model is established by using parametric coupling method. The sparsity of the sound source within the block is controlled by utilizing coupling constraints, which encourages a block sparse solution. The expectation maximization (EM) algorithm is used to update the hyperparameters iteratively to obtain the sound pressure distribution of the target plane. Numerical simulation experiments of sparse sound sources with different structures are designed to compare the performance of the proposed algorithm with existing algorithms. The effects of model parameters, adjacent regions, sound source size and signal-to-noise ratio on the performance of the algorithm are analyzed and acoustic imaging experiments are conducted. The simulation and experimental results show that the proposed method achieves high accuracy performance in the acoustic imaging, exhibits superior performance in sparse sound sources with different structural blocks, and can effectively solve the acoustic imaging problem of two-dimensional sparse sound sources.
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