Passive Localization Method for Acoustic Sources in Shallow Water Based on Bayesian Estimation

doi:10.12382/bgxb.2022.0028

Abstract

Abstract:

An acoustic field model in the form of probability density function is established to solve the problem of model mismatch in shallow water. The Bayesian localization model with the state vector of an acoustic source as a posteriori probability is designed to achieve the purpose of exchanging time for space by iteration and realize the localization of a moving target by a single hydrophone. The grid histogram filtering algorithm is proposed to convert analytical integral into numerical summation and improve efficiency of the algorithm. The SWellex-96 experimental results show that the relative error of depth localization can be controlled at 12.04% and the relative error of distance localization at 6.47% within a depth of 200m and a distance of 10km. The proosed method can be used to detect targets in shallow water with concealed low-energy consumption weapon platform.

Key words: underwater weapon platform, shallow water, Bayesian estimation, underwater acoustic location, probability density

SHI Haijie, LI Jinghua, LIU Lili, CHANG Hong. Passive Localization Method for Acoustic Sources in Shallow Water Based on Bayesian Estimation[J]. Acta Armamentarii, 2023, 44(5): 1394-1402.

Figures/Tables 12

Fig.1 Geometric model of signal transmission

Fig.2 Simulation results of normalized sound pressure field

Fig.3 Estimation results of probability density function

Fig.4 Pre-processing of measured data

Fig.5 Transmission loss of measured data from array element 01

Table 1 Source state vector parameters

名称	最小值	最大值	量化值	网格数K
r[n]	0km	10km	0.02km	500
v[n]	0m/s	5m/s	0.5m/s	10
z[n]	0m	200m	4m	50
A_s[n]	0	5	0.25	20

Table 2 Status update parameters

参数	σ_r	σ_v	σ_z	σ_a
数值	20m	0.5m/s	4m	0.25

Fig.6 Localization results of each array element at different times

Fig.7 Variation of localization results with time

Fig.8 Three-dimensional normalized sound pressure transmission loss

Fig.9 Two-dimensional normalized sound pressure transmission loss

Table 3 Relative error of localization results

名称	阵元01	阵元17	阵元32	均值
距离r[n]	7.12%	4.37%	7.93%	6.47%
深度z[n]	11.96%	15.90%	8.26%	12.04%

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