﻿ 分裂阵宽带相关检测在圆阵中应用
 舰船科学技术  2017, Vol. 39 Issue (8): 160-163 PDF

An application of split-array broadband correlation detection in circular array
JIANG Xiao-yong, TAN Jun-hong, ZHOU Sheng-zeng
Shanghai Marine Electronic Equipment Research Institute, Shanghai 201108, China
Abstract: Broadband energy detection, which is considered as a non-correlation detection method, has been widely used in passive sonar. But the detection performance has degraded dramatically in complex environment. In order to apply split-array half beam to circular array, a novel technique of broadband correlation detection applied in circular array is presented. The phase difference of half beam has been derived and simulated in circular array. This technique can effectively improve target bearing resolution, and broadband detection performance of passive sonar is also improved. The processing results from trial data and simulation have showed the validity of the method, and the method is easily applied in practical engineering.
Key words: passive sonar     split-array half beam     broadband energy detection     broadband correlation detection
0 引　言

1 圆阵半波束相位差

 图 1 圆阵半波束示意图 Fig. 1 Schematic diagram of half beam of circular array

 ${\tau _i}(\theta ) = \frac{{r\cos (\theta + (i - 0.5)a)}}{c},$ (1)

 ${x_i}(t) = \cos [2\pi f(t + {\tau _i}(\theta ))],$ (2)

 $\begin{split}{B_l}(\theta ) = & \sum\limits_{i = 1}^M {\cos [\,\,2\pi f(t + {\tau _i}(\theta ) - {\tau _i}({\theta _0}))]} =\\& \left(\sum\limits_{i = 1}^M {{u_i}} \right)\cos (2\pi ft) - \left(\sum\limits_{i = 1}^M {{v_i}} \right)\sin (2\pi ft)=\\& A\cos (2\pi ft + {\phi _l}),\end{split}$ (3)

 $\sum\limits_{i = 1}^M {{u_i}} = \sum\limits_{i = 1}^M {\cos [2\pi f({\tau _i}(\theta ) - {\tau _i}({\theta _0})} )],$ (4)
 $\sum\limits_{i = 1}^M {{v_i}} = \sum\limits_{i = 1}^M {\sin [2\pi f({\tau _i}(\theta ) - {\tau _i}({\theta _0})} )]\text{。}$ (5)

 $A = {[{(\sum\limits_{i = 1}^M {{u_i}} )^2} + {(\sum\limits_{i = 1}^M {{v_i}} )^2}]^{1/2}},$ (6)
 ${\phi _l} = \arctan (\sum\limits_{i = 1}^M {{v_i}} /\sum\limits_{i = 1}^M {{u_i}} ),$ (7)

 ${B_r}(\theta )\; = B\cos (2\pi ft + {\phi _r}),$ (8)

 ${\phi _r} = 2\pi f{\tau _i}'(\theta ) = \arctan (\sum\limits_{i = 1'}^{M'} {{v_i}} /\sum\limits_{i = 1'}^{M'} {{u_i}} ),$ (9)

 $\tau {'_i}(\theta ) = \frac{{r\cos (\theta - (i - 0.5)a)}}{c},$ (10)

 \begin{aligned}\Delta \phi = & {\phi _r} - {\phi _l} = 2\pi f\Delta \tau =\\ & \arctan (\sum\limits_{i = 1'}^{M'} {{v_i}} /\sum\limits_{i = 1'}^{M'} {{u_i}} ) - \arctan (\sum\limits_{i = 1}^M {{v_i}} /\sum\limits_{i = 1}^M {{u_i}} )\text{。}\end{aligned} (11)

 $\Delta \phi = {\phi _r} - {\phi _l} = \frac{{4rc(\theta - {\theta _0})}}{{kf}}{\sin ^2}(k\pi )\text{。}$ (12)

 图 2 圆阵半波束相位差随方位变化曲线 Fig. 2 The phase difference of half beam against azimuth in circular array
2 宽带相关检测

 图 3 宽带相关检测流程图 Fig. 3 Flow chart of broadband correlation detection
3 仿真和试验数据处理 3.1 仿真计算

 图 4 宽带能量检测 Fig. 4 Broadband energy detection

 图 5 宽带相关检测 Fig. 5 Broadband correlation detection

3.2 试验数据处理

 图 6 宽带能量检测 Fig. 6 Broadband energy detection

 图 7 宽带相关检测 Fig. 7 Broadband correlation detection
4 结　语

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