CN117849807B - Method for optimizing tripwire sonar node layout of forward scattering detection - Google Patents

Method for optimizing tripwire sonar node layout of forward scattering detection Download PDF

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CN117849807B
CN117849807B CN202410253589.XA CN202410253589A CN117849807B CN 117849807 B CN117849807 B CN 117849807B CN 202410253589 A CN202410253589 A CN 202410253589A CN 117849807 B CN117849807 B CN 117849807B
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CN117849807A (en
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雷波
汪洁鑫
杨益新
何兆阳
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Qingdao Research Institute Of Northwest Polytechnic University
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Abstract

The embodiment of the disclosure relates to a tripwire sonar node layout optimization method for forward scattering detection. The method comprises the following steps: determining the optimal arrangement sequence of the receiver and the transmitter according to the number ratio of the receiver and the transmitter; calculating a sound velocity profile according to the temperature and salt data of the deployed sea area to obtain sound velocity data; fitting acoustic propagation loss coefficients under different environments through a ray acoustic model and a least square method based on sound velocity data to construct an acoustic propagation loss model; based on a propagation loss model, calculating a minimum fragile value by combining the sensitivity of the signal-to-direct ratio of the preset multi-base sonar; and calculating the deployment interval of the sonar nodes based on the optimal deployment sequence and combining an optimization principle that the minimum fragile values are equal to obtain the optimal sonar node layout. The multi-base sound deployment baseline length after layout optimization has obvious advantages under the same signal-to-direct ratio sensitivity.

Description

Method for optimizing tripwire sonar node layout of forward scattering detection
Technical Field
The embodiment of the disclosure relates to the technical field of underwater sound detection, in particular to a tripwire type sonar node layout optimization method for forward scattering detection.
Background
With the development of the technology of sound absorption, noise reduction, demagnetization and the like of the submarines, the reflection capacity of the submarines is reduced by about 10dB, so that the conventional sonar detection mode is difficult to effectively detect. When an underwater target passes through a multi-base sound absorption base line (a connecting line of a transmitter and a receiver), the forward scattering target strength excited by the target is about 30dB higher than the reverse echo target strength, the influence of a target noise elimination technology is small, and the remote detection of a stealth target can be realized through processing. Under the traditional sonar node layout, each pair of receiving and transmitting devices have certain coincidence and redundancy on the detection coverage area, the potential performance of a sonar system is not fully exerted, certain resource waste is caused, and the use cost is increased. Optimization of multi-base sonar node position has therefore become one of the important research content for multi-base sonar. The method for optimizing the layout of the multi-base sound node commonly used at present mainly comprises the following steps:
The maximum principle of detection area coverage: if the multi-base sound allocation method based on the Kacily oval, the characteristics of the Kacily oval are met by utilizing the double-base sound detection range, and the area detection area is maximized by optimizing the positions of the receiving and transmitting nodes; the method for utilizing the multi-base sound advantage detection area utilizes the advantage detection area to carry out maximum coverage on the target area through node position optimization.
Target information, tracking performance maximization: and determining an optimal configuration strategy of the multi-base sonar nodes by utilizing factors such as the time sequence, waveform parameters and the like of sonar transmission signals, for example, performing layout optimization of the multi-base sonar nodes by utilizing a Bayesian rule and an intelligent transmission time sequence control method based on tracking quality and bandwidth diversity.
However, the method is built on a traditional multi-base sound receiving system, and the traditional multi-base sound receiving system has a certain detection blind area in a base line area and cannot effectively detect a stealth target.
Disclosure of Invention
In order to avoid the defects of the prior art, the invention provides a tripwire sonar node layout optimization method for forward scattering detection, which is used for solving the problems that a multi-base sonar system has a certain detection blind area in a base line area and can not effectively detect a stealth target in the prior art.
According to an embodiment of the present disclosure, there is provided a tripwire sonar node layout optimization method for forward scatter detection, the method including:
Determining an optimal placement order of the receiver and the transmitter according to a number ratio of the receiver and the transmitter based on a forward scatter detection mode;
Calculating a sound velocity profile according to the temperature and salt data of the deployed sea area to obtain sound velocity data;
Fitting acoustic propagation loss coefficients under different environments through a ray acoustic model and a least square method based on the sound velocity data to construct an acoustic propagation loss model;
based on the propagation loss model, calculating a minimum fragile value by combining the sensitivity of the signal-to-direct ratio of the preset multi-base sonar;
And calculating the deployment interval of the sonar nodes by combining the optimization principle that the minimum fragile values are equal based on the optimal deployment sequence so as to obtain the optimal sonar node layout.
Further, the step of determining the optimal arrangement sequence of the receiver and the transmitter according to the number ratio of the receiver and the transmitter includes:
The number ratio of the receiver and the transmitter is R is the remainder; wherein M is the number of the receivers and N is the number of the transmitters;
if q is even, the optimal placement sequence is:
(1)
if q is an odd number and r=0, the optimal placement order is:
(2)
If q is an odd number and r is more than or equal to 1, the optimal arrangement sequence is as follows:
(3)
Wherein R is a receiver and S is a transmitter.
Further, the step of calculating the sound velocity profile according to the thermal salt data of the deployed sea area to obtain sound velocity data includes:
and calculating a sound velocity profile by utilizing a sound velocity empirical formula based on the warm salt data of the deployment sea area so as to obtain sound velocity data.
Further, the step of fitting the acoustic propagation loss coefficients under different environments by a ray acoustic model and a least square method based on the sound velocity data to construct an acoustic propagation loss model includes:
Based on the sound velocity data, simulating propagation loss by using the ray acoustic model; taking Nz receiving points in the depth direction and Nd receiving points in the horizontal direction to obtain a two-dimensional Nz×Nd propagation loss matrix [ TL ];
Fitting the acoustic propagation loss coefficient by the least square method, and calculating the square sum of propagation loss residuals of the acoustic propagation loss model according to the simulated propagation loss and the fitting of the acoustic propagation loss coefficient so as to construct the acoustic propagation loss model.
Further, the sum of squares of the propagation loss residuals is expressed as:
(4)
Where z is the sound source depth, z j is the receiver depth, D i is the horizontal distance, D ij is the propagation distance, and N is a geometric expansion loss coefficient, alpha is a seawater absorption coefficient, and A is a correction term;
And (3) respectively obtaining partial derivatives of the geometric expansion loss coefficient, the seawater absorption coefficient and the correction term by minimizing sigma, and obtaining the partial derivatives by taking 0:
(5)
the propagation loss model can be obtained as
Further, the step of calculating the minimum vulnerability value based on the propagation loss model and combined with the sensitivity of the signal-to-direct ratio of the preset multi-base sonar includes:
based on the propagation loss model and the preset sensitivity of the signal-to-direct ratio, for each sensitivity, obtaining a relation between the minimum fragile value and the signal-to-direct ratio according to an expression of the signal-to-direct ratio, a calculation formula of the fragile value and an expression of the minimum fragile value;
and calculating the minimum fragile value according to the relation between the minimum fragile value and the signal-to-direct ratio.
Further, the expression of the signal-to-direct ratio isTS F is forward scattering target intensity, d SR is the deployment spacing of the receiver and transmitter, d ST is the target-to-nearest-transmitter distance, and d TR is the target-to-nearest-receiver distance;
the expression of the fragile value is
The calculation formula of the minimum fragile value is that
The relation between the minimum fragile value and the signal-to-direct ratio is obtained as follows
Further, the step of calculating the deployment interval of the sonar nodes based on the optimal deployment sequence and in combination with the optimization principle that the minimum vulnerable values are equal to obtain an optimal sonar node layout includes:
Calculating the deployment interval of each adjacent receiver and emitter according to the minimum fragile value;
and calculating the corresponding base line length under each sensitivity according to the optimal arrangement sequence and the deployment interval to obtain the optimal sonar node layout.
Further, the step of calculating the deployment interval between each adjacent receiver and transmitter according to the minimum vulnerability value includes:
If the optimal placement order is (S, R) or (R, S) mode, the deployment interval is:
(6)
if the optimal placement order is (S, R k, S) mode, k represents k receivers; wherein,
When k is an even number, the number of the n-type units,
(7)
When k is an odd number, the number of the elements,
(8)
The receivers and the transmitters are distributed symmetrically left and right in the (S, R k, S) mode, and the deployment distance is calculated in a sequential iterative mode.
The technical scheme provided by the embodiment of the disclosure can comprise the following beneficial effects:
According to the tripwire sonar node layout optimization method for forward scattering detection, on one hand, in a forward scattering detection mode, an optimal arrangement sequence is determined according to the number ratio of a receiver to a transmitter, acoustic propagation loss coefficients under different environments are fitted through a ray acoustic model and a least square method, a minimum fragile value is calculated by combining a forward scattering sonar equation, and an optimal arrangement distance of sonar nodes is determined based on the principle that fragile values at fragile points are minimum and equal, so that sonar node layout optimization is achieved. On the other hand, under the same signal-to-direct ratio sensitivity, the multi-base sonar deployment baseline length after layout optimization has obvious advantages, and compared with a linear sonar system with a traditional layout, the sonar system detection coverage distance after node layout optimization is obviously enlarged.
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The accompanying drawings, which are incorporated in and constitute a part of this specification, illustrate embodiments consistent with the disclosure and together with the description, serve to explain the principles of the disclosure. It will be apparent to those of ordinary skill in the art that the drawings in the following description are merely examples of the disclosure and that other drawings may be derived from them without undue effort.
FIG. 1 illustrates a step diagram of a tripwire sonar node layout optimization method for forward scatter detection in an exemplary embodiment of the present disclosure;
FIG. 2 illustrates a flow chart of a tripwire sonar node layout optimization method for forward scatter detection in an exemplary embodiment of the present disclosure;
FIG. 3 illustrates a deployed ambient sound velocity profile in an exemplary embodiment of the present disclosure;
FIG. 4 is a graph showing propagation loss as a function of distance in an exemplary embodiment of the present disclosure;
FIG. 5 illustrates a tripwire sonar monitoring and early warning schematic diagram in an exemplary embodiment of the present disclosure;
FIG. 6 illustrates a tripwire-type multi-base sonar node layout diagram prior to optimization in an exemplary embodiment of the present disclosure;
FIG. 7 shows the vulnerability profile of FIG. 6;
FIG. 8 illustrates a tripwire-type multi-base sonar node layout diagram after optimization of the sonar layout in an example embodiment of the present disclosure;
FIG. 9 shows the vulnerability profile of FIG. 8;
FIG. 10 shows a comparative schematic of an optimized layout, layout 1 (semi-uniform linear array), and layout 2 (uniform linear array) of the present application in an exemplary embodiment of the present disclosure;
fig. 11 shows a plot of baseline coverage length versus signal-to-direct ratio sensitivity in an exemplary embodiment of the present disclosure.
Detailed Description
Example embodiments will now be described more fully with reference to the accompanying drawings. However, the exemplary embodiments may be embodied in many forms and should not be construed as limited to the examples set forth herein; rather, these embodiments are provided so that this disclosure will be thorough and complete, and will fully convey the concept of the example embodiments to those skilled in the art. The described features, structures, or characteristics may be combined in any suitable manner in one or more embodiments.
Furthermore, the drawings are merely schematic illustrations of embodiments of the disclosure and are not necessarily drawn to scale. The same reference numerals in the drawings denote the same or similar parts, and thus a repetitive description thereof will be omitted. Some of the block diagrams shown in the figures are functional entities and do not necessarily correspond to physically or logically separate entities.
A tripwire sonar node layout optimization method for forward scatter detection is provided in this example embodiment. Referring to fig. 1, the tripwire sonar node layout optimization method for forward scatter detection may include: step S101 to step S105.
Step S101: determining an optimal placement order of the receiver and the transmitter according to a number ratio of the receiver and the transmitter based on a forward scatter detection mode;
step S102: calculating a sound velocity profile according to the temperature and salt data of the deployed sea area to obtain sound velocity data;
Step S103: fitting acoustic propagation loss coefficients under different environments through a ray acoustic model and a least square method based on the sound velocity data to construct an acoustic propagation loss model;
step S104: based on the propagation loss model, calculating a minimum fragile value by combining the sensitivity of the signal-to-direct ratio of the preset multi-base sonar;
step S105: and calculating the deployment interval of the sonar nodes by combining the optimization principle that the minimum fragile values are equal based on the optimal deployment sequence so as to obtain the optimal sonar node layout.
According to the tripwire sonar node layout optimization method for forward scattering detection, on one hand, in a forward scattering detection mode, an optimal layout sequence is determined according to the number ratio of a receiver to a transmitter, acoustic propagation loss coefficients under different environments are fitted through a ray acoustic model and a least square method, a minimum fragile value is calculated by combining a forward scattering sonar equation, and the optimal placement distance of sonar nodes is determined based on the principle that fragile values at fragile points are minimum and equal, so that sonar node layout optimization is achieved. On the other hand, under the same signal-to-direct ratio sensitivity, the multi-base sonar deployment baseline length after layout optimization has obvious advantages, and compared with a linear sonar system with a traditional layout, the sonar system detection coverage distance after node layout optimization is obviously enlarged.
Next, the respective steps of the above-described tripwire sonar node layout optimization method of forward scatter detection in the present exemplary embodiment will be described in more detail with reference to fig. 1 to 11.
As shown in fig. 2, a flowchart of a tripwire sonar node layout optimization method for forward scatter detection is shown. In step S101, an optimal placement order of the receiver and the transmitter is determined according to the number ratio of the receiver and the transmitter based on the forward scatter detection mode.
Specifically, R is a receiver, S is a transmitter, and deployment orderingAs follows, there are M transmitters, N receivers,Remainder is/>
If q is even, the optimal placement sequence is:
(1)
if q is an odd number and r=0, the optimal placement order is:
(2)
if q is an odd number and r is more than or equal to 1, the optimal arrangement sequence is as follows:
(3)
In step S102 and step S103, sound velocity profile is calculated according to the thermal salt data of the deployed sea area so as to obtain sound velocity data; and fitting acoustic propagation loss coefficients under different environments through a ray acoustic model and a least square method based on sound velocity data to construct an acoustic propagation loss model.
Specifically, for the deployment sea area, the sound velocity profile is calculated by combining on-site real-time temperature measurement and salt data with a sound velocity empirical formula, or the sound velocity profile can be calculated according to the historical temperature and salt data of the deployment sea area and by using the sound velocity empirical formula, the propagation loss simulation is performed by using a ray acoustic model after the sound velocity data is obtained, and the sound velocity profile is taken in the depth directionThe receiving points are taken/>, in the horizontal directionObtaining two-dimensional/>Propagation loss matrix/>And then carrying out propagation loss model parameter fitting through a least square method, wherein the sum of squares of propagation loss residual errors calculated by the simulation propagation loss and a fitting formula is shown as a formula (4):
(4)
wherein the sound source depth is z and the receiver depth is Horizontal distance is/>Propagation distance; To make/>Minimum, for geometric expansion loss coefficient n, absorption coefficient/>And the correction term A obtains partial derivatives respectively, and the partial derivatives are 0:
(5)
The propagation loss calculation formula can be obtained by solving the equation (5) Corresponding coefficient of/>, whereinFor geometric expansion loss factor,/>Is the seawater absorption coefficient,/>Is a correction term.
In step S104 and step S105, based on the propagation loss model, the minimum fragile value is calculated in combination with the sensitivity of the signal-to-direct ratio of the preset multi-base sonar; and calculating the deployment interval of the sonar nodes based on the optimal deployment sequence and combining an optimization principle that the minimum fragile values are equal to obtain the optimal sonar node layout.
Specifically, the first step: given the sensitivity of the multi-base sonar signal-to-direct ratio (SDR), according to the expression of the signal-to-direct ratioWherein forward scattering target intensity/>Signal-to-direct ratio SDR, geometric expansion loss coefficient/>Are all known,/>For the distance of the target to the nearest emitter,/>For the distance of the target to the nearest receiver, the formula/> is calculated from the vulnerability value (the propagation loss is greater the vulnerability value)And the vulnerability value/>, at the vulnerability (point with the greatest vulnerability value)Availability/>The fragile value/>, at the fragile point can be calculated
And a second step of: according toAvailable, deployment spacing/>And in terms of all points of weakness/>Equal deployment intervals of all adjacent nodes can be iterated out.
The calculation time is divided into two modes:
If the optimal placement order is (S, R) or (R, S) mode, the deployment interval is:
(6)
If the optimal placement order is (S, R k, S) mode, k represents k receivers; wherein,
When k is an even number, the number of the n-type units,
(7)
When k is an odd number, the number of the elements,
(8)
The receivers and transmitters are distributed symmetrically left and right in the (S, R k, S) mode, and the deployment interval is calculated in sequence and iteratively.
And a third step of: and calculating the deployment baseline length according to the deployment interval.
In a specific embodiment, a tripwire type multi-base sonar consisting of 2 transmitters and 4 receivers is deployed in a yellow sea area, a sound velocity profile is calculated in a water area with the water depth of 50m by using historical temperature and salt data of summer and eighth of the yellow sea in combination with a Wilson sound velocity empirical formula, the signal frequency is 2 kHz, the sound source opening angle is (-30 degrees and 30 degrees), the seabed type is a flat seabed, and the seabed density is 1.8gCm-3, seabed attenuation coefficient 0.8dB/>The sound source depth is 25m, the horizontal propagation distance is 10km, 100 receiving points are taken in the depth direction, and 1000 receiving points are taken in the horizontal direction.
Targeting submarines with forward scattering target intensitiesAbout 25dB.
Step S101: determining an optimal placement order
There are 2 transmitters, 4 receivers,The remainder is 0,/>Sonar node deployment order/>, obtainable according to (1), with an even number and remainder of 0The formula (9):
(9)
step S102 and step S103: constructing acoustic propagation loss model of deployment sea area
For the deployment sea area, as shown in fig. 3 and 4, the sound velocity profile is calculated by historical temperature and salt data of the sea area and by using a sound velocity empirical formula, and then propagation loss simulation is carried out by using a ray acoustic model, so that 100 is obtainedTwo-dimensional propagation loss matrix/>, 1000And performing propagation loss calculation model fitting through a least square method. According to/>Obtain the corresponding 100/>Propagation distance matrix/>, 1000Will/>,/>After substitution into (5), solving the matrix equation to obtain/>Wherein the geometric expansion loss coefficient/>Is 1.4988,/>1.4/>10-3dB/>Km, correction term/>7.4714DB. Wherein, FIG. 3 is a deployment environment sound velocity profile; fig. 4 is a graph showing propagation loss as a function of distance.
Step S104 and step S105: calculating deployment spacing
The first step: given a signal-to-direct ratio (SDR) sensitivity range (-30 dB, -10 dB), according to the expression of the signal-to-direct ratioWherein the scattering intensity of the target/>、SDR、/>All are known to calculate the formula/>, from the vulnerability valuesFrailty value at frailty point/>Is available in the form ofThe fragile value/>, at the fragile point can be calculated
And a second step of: according toAvailable, deployment spacing/>And in terms of all points of weakness/>Equal deployment intervals of all adjacent nodes can be iterated out.
And a third step of: and calculating the corresponding baseline length under each sensitivity according to the deployment interval.
The schematic diagram of the deployed tripwire type sonar interception submarine is shown in fig. 5, the tripwire type multi-base sonar layout before and after optimization and the fragile value distribution thereof are shown in fig. 6, 7, 8 and 9 respectively, the fragile value at the fragile point after the optimization layout is minimum and equal, so that the propagation loss can be reduced, the higher signal-to-direct ratio is obtained, and the detection distance is further improved while the detection capability of the whole sonar system is balanced. The optimized layout is shown in fig. 10, and the comparison effect is shown in fig. 11 with the conventional uniform linear array and the semi-uniform linear array. As can be seen from fig. 11, when the SDR sensitivity is given, the corresponding deployment baseline length can be calculated, and under the same signal-to-direct ratio sensitivity, the deployment baseline length of the multi-base sonar after layout optimization has obvious advantages, and compared with the linear sonar system with the traditional layout, the detection coverage distance of the sonar system after node layout optimization is enlarged by about 2 times. The method has the advantages that the detection distance of the multi-base sonar after node layout is optimized is effectively improved, and a certain theoretical basis is provided for node deployment of the multi-base sonar.
The method has a certain effect in the simulation experiment, and has the advantages compared with the traditional method that: under the same sensitivity of signal-to-direct ratio, the detection coverage distance of the sonar system after node layout optimization is enlarged to about 2 times.
According to the tripwire sonar node layout optimization method for forward scattering detection, on one hand, in a forward scattering detection mode, an optimal layout sequence is determined according to the number ratio of a receiver to a transmitter, acoustic propagation loss coefficients under different environments are fitted through a ray acoustic model and a least square method, a minimum fragile value is calculated by combining a forward scattering sonar equation, and the optimal placement distance of sonar nodes is determined based on the principle that fragile values at fragile points are minimum and equal, so that sonar node layout optimization is achieved. On the other hand, under the same signal-to-direct ratio sensitivity, the multi-base sonar deployment baseline length after layout optimization has obvious advantages, and compared with a linear sonar system with a traditional layout, the sonar system detection coverage distance after node layout optimization is obviously enlarged.
In the description of the present specification, a description referring to terms "one embodiment," "some embodiments," "examples," "specific examples," or "some examples," etc., means that a particular feature, structure, material, or characteristic described in connection with the embodiment or example is included in at least one embodiment or example of the present disclosure. In this specification, schematic representations of the above terms are not necessarily directed to the same embodiment or example. Furthermore, the particular features, structures, materials, or characteristics described may be combined in any suitable manner in any one or more embodiments or examples. Furthermore, one skilled in the art can combine and combine the different embodiments or examples described in this specification.
Other embodiments of the disclosure will be apparent to those skilled in the art from consideration of the specification and practice of the disclosure disclosed herein. This application is intended to cover any adaptations, uses, or adaptations of the disclosure following, in general, the principles of the disclosure and including such departures from the present disclosure as come within known or customary practice within the art to which the disclosure pertains. It is intended that the specification and examples be considered as exemplary only, with a true scope and spirit of the disclosure being indicated by the following claims.

Claims (9)

1. A tripwire sonar node layout optimization method for forward scatter detection, the method comprising:
Determining an optimal placement order of the receiver and the transmitter according to a number ratio of the receiver and the transmitter based on a forward scatter detection mode;
Calculating a sound velocity profile according to the temperature and salt data of the deployed sea area to obtain sound velocity data;
Fitting acoustic propagation loss coefficients under different environments through a ray acoustic model and a least square method based on the sound velocity data to construct an acoustic propagation loss model;
based on the propagation loss model, calculating a minimum fragile value by combining the sensitivity of the signal-to-direct ratio of the preset multi-base sonar;
And calculating the deployment interval of the sonar nodes by combining the optimization principle that the minimum fragile values are equal based on the optimal deployment sequence so as to obtain the optimal sonar node layout.
2. The method for optimizing a layout of a tripwire sonar node for forward scatter detection according to claim 1, wherein said step of determining an optimal layout order of said receiver and said transmitter based on a quantitative ratio of said receiver and said transmitter comprises:
The number ratio of the receiver and the transmitter is R is the remainder; wherein M is the number of the receivers and N is the number of the transmitters;
if q is even, the optimal placement sequence is:
(1)
if q is an odd number and r=0, the optimal placement order is:
(2)
If q is an odd number and r is more than or equal to 1, the optimal arrangement sequence is as follows:
(3)
Wherein R is a receiver and S is a transmitter.
3. The method for optimizing the layout of a tripwire sonar node for forward scatter detection according to claim 2, wherein said step of calculating a sound velocity profile from thermal salt data of a deployed sea area to obtain sound velocity data comprises:
and calculating a sound velocity profile by utilizing a sound velocity empirical formula based on the warm salt data of the deployment sea area so as to obtain sound velocity data.
4. A tripwire sonar node layout optimisation method for forward scatter detection as claimed in claim 3, wherein said step of fitting acoustic propagation loss coefficients under different circumstances by a ray acoustic model and a least squares method based on said sound speed data to construct an acoustic propagation loss model comprises:
Based on the sound velocity data, simulating propagation loss by using the ray acoustic model; taking Nz receiving points in the depth direction and Nd receiving points in the horizontal direction to obtain a two-dimensional Nz×Nd propagation loss matrix [ TL ];
Fitting the acoustic propagation loss coefficient by the least square method, and calculating the square sum of propagation loss residuals of the acoustic propagation loss model according to the simulated propagation loss and the fitting of the acoustic propagation loss coefficient so as to construct the acoustic propagation loss model.
5. The tripwire sonar node layout optimization method for forward scatter detection of claim 4, wherein the sum of squares of propagation loss residuals is expressed as:
(4)
Where z is the sound source depth, z j is the receiver depth, D i is the horizontal distance, D ij is the propagation distance, and N is a geometric expansion loss coefficient, alpha is a seawater absorption coefficient, and A is a correction term;
And (3) respectively obtaining partial derivatives of the geometric expansion loss coefficient, the seawater absorption coefficient and the correction term by minimizing sigma, and obtaining the partial derivatives by taking 0:
(5)
the propagation loss model can be obtained as
6. The method for optimizing the layout of a tripwire sonar node for forward scatter detection according to claim 5, wherein said calculating a minimum frailty value based on said propagation loss model in combination with a sensitivity of a signal-to-direct ratio of a preset multi-base sonar comprises:
based on the propagation loss model and the preset sensitivity of the signal-to-direct ratio, for each sensitivity, obtaining a relation between the minimum fragile value and the signal-to-direct ratio according to an expression of the signal-to-direct ratio, a calculation formula of the fragile value and an expression of the minimum fragile value;
and calculating the minimum fragile value according to the relation between the minimum fragile value and the signal-to-direct ratio.
7. The method for optimizing the layout of a tripwire sonar node for forward scatter detection of claim 6, wherein said signal-to-direct ratio is expressed asTS F is forward scattering target intensity, d SR is the deployment spacing of the receiver and transmitter, d ST is the target-to-nearest-transmitter distance, and d TR is the target-to-nearest-receiver distance;
the expression of the fragile value is
The calculation formula of the minimum fragile value is that
The relation between the minimum fragile value and the signal-to-direct ratio is obtained as follows
8. The method for optimizing the layout of the tripwire sonar nodes for forward scatter detection according to claim 7, wherein said step of calculating the deployment pitch of the sonar nodes based on the optimal deployment order in combination with the optimization principle that the minimum vulnerability values are equal to obtain the optimal layout of the sonar nodes comprises:
Calculating the deployment interval of each adjacent receiver and emitter according to the minimum fragile value;
and calculating the corresponding base line length under each sensitivity according to the optimal arrangement sequence and the deployment interval to obtain the optimal sonar node layout.
9. The method of optimizing a layout of a tripwire sonar node for forward scatter detection of claim 8, wherein said step of calculating said deployment spacing of each adjacent said receiver and said transmitter from said minimum frailty value comprises:
If the optimal placement order is (S, R) or (R, S) mode, the deployment interval is:
(6)
if the optimal placement order is (S, R k, S) mode, k represents k receivers; wherein,
When k is an even number, the number of the n-type units,
(7)
When k is an odd number, the number of the elements,
(8)
Wherein,Represents the spacing between the ith receiver and the (i+1) th receiver, and is the same as that/>Representing the spacing between the i+1th receiver and the i+2th receiver;
The receivers and the transmitters are distributed symmetrically left and right in the (S, R k, S) mode, and the deployment distance is calculated in a sequential iterative mode.
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