CN105182310B - A kind of probability demarcation method of Target near field angle scintillations under motor-driven intersection - Google Patents
A kind of probability demarcation method of Target near field angle scintillations under motor-driven intersection Download PDFInfo
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- CN105182310B CN105182310B CN201510586771.8A CN201510586771A CN105182310B CN 105182310 B CN105182310 B CN 105182310B CN 201510586771 A CN201510586771 A CN 201510586771A CN 105182310 B CN105182310 B CN 105182310B
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01S—RADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
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Abstract
A kind of probability demarcation method of Target near field angle scintillations under motor-driven intersection, using relatively method, radar is counted respectively with target, radar with the motor-driven minimum range amount result that intersects of metal ball, recycle statistics root mean square demarcation near field in the case of Target near field angle scintillations apart from fluctuation characteristic.The present invention has been included in change of the near field angle scintillations with distance, improves the precision of angle scintillations model, is equivalent to a kind of random noise by demarcating to rise and fall the angle scintillations of target, significantly simplifies the angle scintillations model in the case of near field.
Description
Technical field
The present invention relates to Target near field angle under electromagnetic characteristic of scattering emulation technology, more particularly to a kind of motor-driven intersection to dodge
Bright probability demarcation method.
Background technology
Deviation between angle scintillations, also referred to as angular displacement, i.e. radar target apparent Angle Position and target's center's Angle Position.Work as thunder
During up to the coherent electromagnetic wave for receiving diverse location radiation, the distortion of electromagnetic phase wavefront will cause angle scintillations.For target scattering
Situation, if target scale can compare with wavelength and have two or more equivalent scattering centers, obvious angle will be caused
Flicker.This deviation is typically to leave the lateral separation of target geometric center with radar apparent center to represent, i.e. angle scintillations
Line deviation.Linear glint error is the key property for extending target.
Angle scintillations phenomenon caused by radar target signal phase wavefront distortion is to influence tracking radar angle measurement accuracy
Main source of error.At present, main situation (such as [1] Yin that target angle scintillations under the conditions of far-field approximation are discussed of most researchs
It is red into, Huang Peikang, Wang Chao, then the angle scintillations of opinion extension target, system engineering and electronic technology, 2007, Vol.29, No.4,499
~504, [2] Wang Chao, it is blackish red into, Feng Xiaobin, Huang Peikang, the computational methods of complex target angle scintillations are discussed from the viewpoint of polarization,
System engineering and electronic technology, 2008, Vol.30, No.7,1195~1199), it is believed that target linear glint error is and distance
Unrelated amount, and have ignored the near-field effects of angle scintillations ([3] model red flag, Wang Sheng, Zhu Yilong, Fu Qiang, phase gradient method calculate near
The analytic expression of rink corner flicker, electronic letters, vol, 2009, Vol.37, No.5).But in the Near-field observation condition such as spacecrafts rendezvous, terminal guidance
Under, target linear glint error be can not ignore with acute variation, the near-field effects of angle scintillations such as observed range, observation visual angles, will
Radar and target relative movement track are directly affected, the near field angle scintillations of target will also change therewith.Therefore, in radar and target
Motor-driven intersection during, Target near field angle scintillations are interactional with the motor-driven track that intersects, and study a certain position in isolation
The near-field target angle scintillations at place do not possess practical value, it is desirable to near-field target angle scintillations pair in the motor-driven intersection overall process of comprehensive study
The influence of radar tracking performance.
The content of the invention
The present invention provides a kind of probability demarcation method of Target near field angle scintillations under motor-driven intersection, has been included near field angle scintillations
With the change of distance, the precision of angle scintillations model is improved, one kind is equivalent at random by demarcating to rise and fall the angle scintillations of target
Noise, significantly simplify the angle scintillations model in the case of near field.
In order to achieve the above object, the present invention provides a kind of probability demarcation side of Target near field angle scintillations under motor-driven intersection
Method, comprise the steps of:
Carry out the motor-driven rendezvous simulation of radar and target, obtain radar and the motor-driven rendezvous simulation of target minimum it is relative away from
From set { dTi, i=1 ..., N, N are emulation intersection number;
Radar and the motor-driven rendezvous simulation of metal ball calibration body are carried out, radar is obtained and is intersected with the motor-driven of metal ball calibration body
The minimum relative distance set { d of emulationQi, i=1 ..., N, N are emulation intersection number;
The root mean square σ of the minimum relative distance set of radar and the motor-driven rendezvous simulation of target is calculated respectivelyT, radar with gold
Belong to the root mean square σ of the minimum relative distance set of the motor-driven rendezvous simulation of ball calibration bodyQAnd the random survey of radar system in itself
Measure the root mean square σ of errore;
Wherein, uTTo gather { dTiAverage, N for emulation intersection number;
Wherein, uQTo gather { dQiAverage, N for emulation intersection number;
Wherein, e0(tj) it is random meausrement error, ueFor the average of the random meausrement error of radar system in itself, M is discrete
The number at time point;
Calculate the relative Calibration result e of Target near field angle scintillations in motor-driven intersectionT;
Carry out the motor-driven rendezvous simulation of radar and target, obtain radar and the motor-driven rendezvous simulation of target minimum it is relative away from
Comprised the steps of from set:
Step S101, line of sight angle is calculated, line of sight angle is obtained and changes over time rate e'(t);
Wherein, tj=j Δs t is the time discrete value in radar and the motor-driven rendezvous simulation of target, and Δ t is between time discrete
Every, j=0,1 ..., number that M, M are discrete time point;ω(tj) it is tjMoment target's center relative to radar angular speed;
eT(tj) it is Target near field angle scintillations, unit is degree;e0(tj) it is the random meausrement error of radar system in itself, unit is spends, e0
(tj) can be obtained using a certain size random number simulation;
Step S102, rate e'(t is changed over time according to line of sight angle) calculate radar motion transverse acceleration a
(tj);
Step S103, subsequent time t is calculatedjDuring+Δ t, the speed of related movement vector Δ v of radar and target and relative position
Put Δ s;
Δ v=a (tj)Δt;
Wherein,It is average speed, is moment tjWith subsequent time tjThe 1/2 of+Δ t speed sums;
Step S104, the relative distance of radar and target is calculated according to distance between two points formula, circulation emulation, detects radar
Changed over time with target relative distance, when the relative distance changes from reduction to increase, that is, complete once motor-driven intersection and imitate
Very, the minimum relative distance of radar and target is obtained;
Step S105, due to the influence of radar random meausrement error, to identical radar and target original position and speed,
The minimum relative distance difference of the different motor-driven rendezvous simulations of number, the multiple motor-driven rendezvous simulation of progress, acquisition radar and target
The minimum relative distance set { d of motor-driven rendezvous simulationTi, i=1 ..., N, N are emulation intersection number.
The method same with the minimum relative distance set of the motor-driven rendezvous simulation of target using radar is obtained, carries out radar
With the motor-driven rendezvous simulation of metal ball calibration body, obtain the motor-driven rendezvous simulation of radar and metal ball calibration body minimum it is relative away from
From set.
The present invention intersects minimum range amount with target, radar to radar using relatively method with the motor-driven of metal ball
As a result counted respectively, recycle Target near field angle scintillations in the case of statistics root mean square demarcation near field apart from fluctuation characteristic,
The present invention has advantages below:1st, the present invention has been included in change of the Target near field angle scintillations with distance, improves angle scintillations model
Precision;2nd, the present invention is equivalent to a kind of random noise by demarcating to rise and fall the angle scintillations of target, significantly simplifies near field feelings
Angle scintillations model under condition, reach the real-time calculating requirement in radar system HWIL simulation.
Brief description of the drawings
Fig. 1 is the flow chart of the present invention.
Fig. 2 is the random meausrement error of radar system during motor-driven intersection.
Fig. 3 is that radar obtains minimum relative distance distribution with the motor-driven rendezvous simulation of target difference number.
Fig. 4 is that radar obtains minimum relative distance distribution with the motor-driven rendezvous simulation of metal ball difference number.
Embodiment
Below according to Fig. 1~Fig. 4, presently preferred embodiments of the present invention is illustrated.
As shown in figure 1, the present invention provides a kind of probability demarcation method of Target near field angle scintillations under motor-driven intersection, comprising with
Lower step:
Step S1, the motor-driven rendezvous simulation of progress radar and the motor-driven rendezvous simulation of target, acquisition radar and target is most
Small relative distance set { dTi, i=1 ..., N, N are emulation intersection number;
Step S2, radar and the motor-driven rendezvous simulation of metal ball calibration body are carried out, obtains radar and metal ball calibration body
The minimum relative distance set { d of motor-driven rendezvous simulationQi, i=1 ..., N, N are emulation intersection number;
Step S3, the root mean square σ of the minimum relative distance set of radar and the motor-driven rendezvous simulation of target is calculated respectivelyT、
Radar and the root mean square σ of the minimum relative distance set of the motor-driven rendezvous simulation of metal ball calibration bodyQAnd radar system is in itself
Random meausrement error root mean square σe;
Wherein, uTTo gather { dTiAverage, N for emulation intersection number;
Wherein, uQTo gather { dQiAverage, N for emulation intersection number;
Wherein, e0(tj) it is random meausrement error, ueFor the average of the random meausrement error of radar system in itself, M is discrete
The number at time point;
Step S4, the relative Calibration result e of Target near field angle scintillations in motor-driven intersection is calculatedT;
In described step S1, radar and the motor-driven rendezvous simulation of target are carried out, radar is obtained and is intersected with the motor-driven of target
The minimum relative distance set of emulation comprises the steps of:
Step S101, according to the radar at certain moment and target relative position and speed of related movement vector, using all-wave number
The calculating such as value method, high frequency Asymptotical Method target returns to the scattered field at radar under radar illumination wave excitation, utilizes the scattering
The phase place change of field, the direction of propagation for obtaining target scattering ripple, i.e. line of sight angle are calculated using phase gradient method;
Line of sight angle changes over time rate e'(t) be:
Wherein, tj=j Δs t is the time discrete value in radar and the motor-driven rendezvous simulation of target, and Δ t is between time discrete
Every, j=0,1 ..., number that M, M are discrete time point;ω(tj) it is tjMoment target's center relative to radar angular speed;
eT(tj) it is Target near field angle scintillations, unit is degree;e0(tj) it is the random meausrement error of radar system in itself, unit is spends, e0
(tj) can be obtained using a certain size random number simulation;
Step S102, rate e'(t is changed over time according to line of sight angle) calculate radar motion transverse acceleration a
(tj);
In the present embodiment, adoption rate daoyin technique (but being not limited to this method) calculates transverse acceleration a (tj):
a(tj)=kR (tj)e'(tj) (6)
Wherein, k is proportionality coefficient, R (tj) it is radar and target relative distance;
Step S103, subsequent time t is calculatedjDuring+Δ t, the speed of related movement vector Δ v of radar and target and relative position
Put Δ s;
Δ v=a (tj)Δt;
Wherein,It is average speed, is moment tjWith subsequent time tjThe 1/2 of+Δ t speed sums;
Step S104, the relative distance of radar and target is calculated according to distance between two points formula, circulation emulation, detects radar
Changed over time with target relative distance, when the relative distance changes from reduction to increase, that is, complete once motor-driven intersection and imitate
Very, the minimum relative distance of radar and target is obtained;
Step S105, due to the influence of radar random meausrement error, to identical radar and target original position and speed,
The minimum relative distance difference of the different motor-driven rendezvous simulations of number, the multiple motor-driven rendezvous simulation of progress, acquisition radar and target
The minimum relative distance set { d of motor-driven rendezvous simulationTi, i=1 ..., N, N are emulation intersection number.
In described step S2, using with step S1 identical methods, carry out the motor-driven friendship of radar and metal ball calibration body
It can emulate, obtain the minimum relative distance set { d of radar and the motor-driven rendezvous simulation of metal ball calibration bodyQi}。
Embodiment
The probability demarcation method of Target near field angle scintillations, this method comprise the following steps under a kind of motor-driven intersection:
Step 1, hypothesis radar are (- 2000m, 0,5m) relative to the original position of target, and speed of related movement Δ v is
1300m/s, the time discrete interval of delta t of motor-driven rendezvous simulation is 0.005 second, the number of discrete time point in motor-driven rendezvous simulation
M is 301 points, wherein radar system random meausrement error e itself0(tj) excursion be -0.05 °~0.05 °, its spread meet
It is uniformly distributed, as shown in Fig. 2 simulation times are 800 times, minimum relative distance distribution is as shown in Figure 3.
Step 2, the metal ball to diameter 0.4m, equally carry out motor-driven rendezvous simulation, simulation times are 800 times, most narrow spacing
From distribution as shown in Figure 4.
Step 3, using the radar of formula (1) computer sim- ulation and the root mean square of target minimum relative distance set it is 2.1m,
It is 1.6m using the radar and the motor-driven root mean square for intersecting minimum relative distance set of metal ball of formula (2) computer sim- ulation, utilizes
The root mean square that formula (3) calculates radar system random meausrement error itself is 0.028 °.
Step 4, the calibration result to be risen and fallen using the near field angle scintillations of target in the motor-driven intersection of formula (4) calculating are
0.037°。
In the real-time simulation that radar system intersects with target maneuver, Target near field angle scintillations can be equivalent to radar system
In a kind of equally distributed random meausrement error, equivalent random meausrement error root mean square be taken as above-mentioned target near field angle dodge
The bright calibration result to rise and fall, so as to significantly simplify the near field angle scintillations computation model of target.
Although present disclosure is discussed in detail by above preferred embodiment, but it should be appreciated that above-mentioned
Description is not considered as limitation of the present invention.After those skilled in the art have read the above, for the present invention's
A variety of modifications and substitutions all will be apparent.Therefore, protection scope of the present invention should be limited to the appended claims.
Claims (3)
1. a kind of probability demarcation method of Target near field angle scintillations under motor-driven intersection, it is characterised in that comprise the steps of:
Radar and the motor-driven rendezvous simulation of target are carried out, obtains the minimum relative distance collection of radar and the motor-driven rendezvous simulation of target
Close { dTi, i=1 ..., N, N are emulation intersection number;
Radar and the motor-driven rendezvous simulation of metal ball calibration body are carried out, obtains radar and the motor-driven rendezvous simulation of metal ball calibration body
Minimum relative distance set { dQi, i=1 ..., N, N are emulation intersection number;
The root mean square σ of the minimum relative distance set of radar and the motor-driven rendezvous simulation of target is calculated respectivelyT, radar and metal ball
The root mean square σ of the minimum relative distance set of the motor-driven rendezvous simulation of calibration bodyQAnd the random measurement of radar system in itself misses
The root mean square σ of differencee;
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Calculate the relative Calibration result e of Target near field angle scintillations in motor-driven intersectionT;
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2. the probability demarcation method of Target near field angle scintillations under motor-driven intersection as claimed in claim 1, it is characterised in that carry out
The motor-driven rendezvous simulation of radar and target, obtain the motor-driven rendezvous simulation of radar and target minimum relative distance set include with
Lower step:
Step S101, line of sight angle is calculated, line of sight angle is obtained and changes over time rate e'(t);
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=0,1 ..., M, M be discrete time point number;ω(tj) it is tjMoment target's center relative to radar angular speed;eT
(tj) it is Target near field angle scintillations, unit is degree;e0(tj) it is the random meausrement error of radar system in itself, unit is spends, e0
(tj) obtained using a certain size random number simulation;
Step S102, rate e'(t is changed over time according to line of sight angle) calculate radar motion transverse acceleration a (tj);
Step S103, subsequent time t is calculatedjDuring+Δ t, the speed of related movement vector Δ v and relative position Δ of radar and target
s;
Δ v=a (tj)Δt;
Wherein,It is average speed, is moment tjWith subsequent time tjThe 1/2 of+Δ t speed sums;
Step S104, the relative distance of radar and target is calculated according to distance between two points formula, circulation emulation, detects radar and mesh
Mark relative distance changes over time, and when the relative distance changes from reduction to increase, that is, completes once motor-driven rendezvous simulation, obtains
Obtain the minimum relative distance of radar and target;
Step S105, it is different to identical radar and target original position and speed due to the influence of radar random meausrement error
The minimum relative distance of the motor-driven rendezvous simulation of number is different, carries out repeatedly motor-driven rendezvous simulation, obtains the motor-driven of radar and target
The minimum relative distance set { d of rendezvous simulationTi, i=1 ..., N, N are emulation intersection number.
3. the probability demarcation method of Target near field angle scintillations under motor-driven intersection as claimed in claim 2, it is characterised in that use
The radar method same with the minimum relative distance set of the motor-driven rendezvous simulation of target is obtained, radar is carried out and is calibrated with metal ball
The motor-driven rendezvous simulation of body, obtain the minimum relative distance set of radar and the motor-driven rendezvous simulation of metal ball calibration body.
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