Novel Method for Selection of Regularization Parameter in the Near-field Acoustic Holography

Because of the ill-posedness of the near-field acoustic holography（NAH）,the regularization method is required to stabilize the computational process of NAH.The regularization effect is related to how to select the parameter correctly and effectively.However the L-curve method commonly used for the selection of regularization parameters has the disadvantages of wrong selection and incorrect selection,which influences the application of NAH.For the purpose of solving the problems existed in the L-curve method,the （？）-curve method is introduced into the field of NAH,and the performance applied to NAH directly is analyzed on the basis of equivalent source method-based NAH.However,it is found out via investigations that the（？）-curve method in NAH also has the problem of wrong selection and is unable to choose the regularization parameter correctly.In order to select the parameter correctly and effectively,a novel method for selecting regularization parameters is proposed based on the original（？）-curve method,which can be called improved （？）-curve method.In the proposed method the regularization parameters are discretized linearly between the largest singular value and the smallest singular value,and the solution norm and the residual norm corresponding to these regularization parameters are also described in a linear coordinate instead of in a lg-lg coordinate,which are the two main differences compared with the L-curve and with the original（？）-curve method.In linear coordinate and using the linearly discretized regularization parameters,the solution norm is a monotonically decreasing function of the residual norm as the increase of the regularization parameter,moreover the curve is convex everywhere.So the regularization parameters can be selected correctly and effectively based on the improved（？）-curve method.Then a numerical simulation is done with a simply supported plate to verify the validity of the proposed method.Experiments with two actual sources,a clamped plate and the double speakers,are carried out to do a further demonstration.The simulation result as well as the experimental result shows that the improved（？）-curve method is efficacious and has some advantages over the L-curve method and the original（？）-curve method.The proposed novel method is able to avoid the problem of wrong selection and to select the regularization parameter correctly even if the curve is smooth.

Underwater patch near-field acoustical holography based on particle velocity and vector hydrophone array

One-step patch near-field acoustical holography(PNAH) is a powerful tool for identifying noise sources from the partially known sound pressure field.The acoustical property to be reconstructed on the surface of interest is related to the partially measured pressure on the hologram surface in terms of sampling and bandlimiting matrices,which cost more in computation.A one-step procedure based on measuring of the normal component of the particle velocity is described,including the mathematical formulation.The numerical simulation shows that one-step PNAH based on particle velocity can obtain more accurately reconstructed results and it is also less sensitive to noise than the method based on pressure.These findings are confirmed by an underwater near-field acoustical holography experiment conducted with a vector hydrophone array.The experimental results have illustrated the high performance of one-step PNAH based on particle velocity in the reconstruction of sound field and the advantages of a vector hydrophone array in an underwater near-field measurement.

基于二级迭代的局部近场声全息研究及实验

为了有效减小传统近场声全息声场重建过程中的“窗效应”和准确利用有限测量孔径测量并定位潜艇的表面声源,提出一种基于二级迭代的局部近场声全息方法。首先,通过改进基于正交球面波的局部近场声全息方法,提出基于二级迭代的局部近场声全息方法;然后,仿真对比上述两种局部近场声全息方法的重构结果,研究外推误差和扩展测点数对重构精度的影响;最后,在消声水池中利用小孔径全息测量面进行基于二级迭代的局部近场声全息的实验研究。结果表明,基于二级迭代的局部近场声全息能大大减小有限测量孔径带来的“窗效应”和“孔径重复效应”误差,验证了该方法的优越性,可为水下大尺寸声源的近场声全息精确测量提供重要参考。

基于局部近场声全息的噪声源辨识研究

基于波叠加的理论思想,提出了一种基于波叠加方法的迭代算法来实现全息数据外推以解决传统近场声全息要求全息孔径大的问题,实现了近场声全息对局部声场的重建。由于噪声源识别问题对测量误差非常敏感,采用了结合L曲线准则的Tikhonov正则化方法进行正则化滤波。在半消声室内采用音响模拟噪声源进行验证,实验结果表明,该方法在小全息孔径条件下可以准确地对辐射体进行声场重构,减少了对全息孔径大小的要求,为其在工业现场中的应用奠定了基础。