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基于反问题的正则化波束形成改进算法
引用本文:张志飞,陈思,徐中明,贺岩松,黎术.基于反问题的正则化波束形成改进算法[J].仪器仪表学报,2015,36(8):1752-1758.
作者姓名:张志飞  陈思  徐中明  贺岩松  黎术
作者单位:1.重庆大学机械传动国家重点实验室重庆400030;2.重庆大学汽车工程学院重庆400044
基金项目:国家自然科学基金(51275540)项目资助
摘    要:基于反问题的正则化波束形成技术能以较高的计算效率得到稳健的声源识别结果。然而由于其正则化解中的正则化矩阵取决于低效的传统波束形成方法,使得基于反问题的正则化波束形成的声源识别结果精准度较低。为了在低信噪比环境下进一步提升其声源识别性能,基于Tikhonov正则化一般形式解提出一种双重迭代优化算法。该算法基于延时求和波束形成算法与互谱运算构造出新的正则化矩阵,并结合迭代方法对新正则化矩阵和波束输出进行优化,最终以较少的迭代步数经两次迭代运算有效提高了声源识别精度和稳定性。最后,通过数值仿真和实验算例,进一步验证了双重迭代优化算法的可行性和有效性。

关 键 词:反问题  波束形成  正则化  迭代方法

Modified algorithm of the inverse problem based regularized beamforming
Zhang Zhifei,Chen Si,Xu Zhongming,He Yansong,Li Shu.Modified algorithm of the inverse problem based regularized beamforming[J].Chinese Journal of Scientific Instrument,2015,36(8):1752-1758.
Authors:Zhang Zhifei  Chen Si  Xu Zhongming  He Yansong  Li Shu
Abstract:The inverse problem based regularized beamforming technique can lead to robust sound source location result with the high calculation efficiency. However, due to the regularization matrix of regularized solution which depends on the inefficient conventional beamforming method, the sound source identification accuracy of the inverse problem based regularized beamforming technique is unsatisfactory. To further enhance the sound source location performance of regularized beamforming in the low SNR environment, a dually iterated regularized beamforming method based on the Tikhonov regularization is proposed. The modified algorithm first structures a new regularization matrix based on the delay and sum beamforming and cross spectra, and iteration method is used to optimize the new regularization matrix and beamforming output. The numerical simulation and experimental example are implemented to verify the feasibility and validity of the modified algorithm proposed in this paper.
Keywords:inverse problem  beamforming  regularization  iteration method
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