CN108919211B - Positioning precision evaluation method oriented to three-station cooperative positioning - Google Patents
Positioning precision evaluation method oriented to three-station cooperative positioning Download PDFInfo
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Abstract
The invention relates to a positioning precision evaluation method for three-station cooperative positioning. According to the known positioning precision evaluation method for evaluating the three-station cooperative positioning based on the measured data of the two-station cooperative positioning test, the reliability of the positioning precision evaluation method is low because the statistical property of the observation data of the third station generated by simulation is greatly different from the statistical property of the observation data in an actual scene. The method reduces the difference by designing a two-station co-location test scenario according to a three-station co-location scenario. The method comprises the following specific steps: designing a three-station cooperative positioning scene; designing a double-station cooperative positioning test; simulating and generating observation data of a third station and data related to the third station according to the data acquired by the double-station co-location test; performing three-station cooperative positioning; and carrying out positioning result evaluation. The method can effectively improve the reliability of the positioning precision evaluation method for evaluating the three-station cooperative positioning based on the measured data of the two-station cooperative positioning test.
Description
Technical Field
The invention relates to the field of radar co-location.
Background
And the evaluation of the cooperative positioning precision is the characteristic of an error vector formed by counting the cooperative positioning result and the real position of the target. The statistical characteristics of the positioning error are usually expressed by means of circular probability error (CEP), geometric precision distribution (GDOP), and the like.
Common station co-location methods include a two-station co-location method and a three-station co-location method. The double-station cooperative positioning method utilizes the arrival angle of a target radiation source signal and the mutual direction-finding and distance-measuring results of the double stations to obtain the position of a target relative to an observation station through cross positioning. The arrival angle of the target radiation source signal refers to a direction-finding angle obtained by the observation station by analyzing the intercepted target radiation source signal to carry out direction finding on the target radiation source; the mutual direction and distance measurement of the two stations means that the two stations adopt a microwave measurement mode to obtain the distance between the two stations and the direction between the two stations; cross-referencing refers to calculating the target location by triangulation.
The three-station cooperative positioning method improves the positioning accuracy of the remote radiation source target by adopting long baseline positioning. Under the condition that the communication power is limited, the distance between the sea surface microwave measurement and the sea surface communication has an upper limit, so that the mutual communication and the mutual direction and distance measurement between the stations can be realized only if the distance between the two stations is less than a certain distance. In order to increase the baseline distance, a three-station cooperative positioning method is adopted, and a newly-added intermediate station is used for data forwarding and mutual direction finding and distance measuring; the non-intermediate station carries out direction finding on the radiation source target; and the collected arrival angle of the target radiation source signal, the relative distance and the relative direction between the stations are subjected to cross positioning to obtain the position information of the radiation source target.
In order to evaluate the precision of the three-station cooperative positioning, the precision of the three-station cooperative positioning can be evaluated by obtaining the three-station cooperative positioning data by developing an actual measurement test method, but the method needs to call a large number of ships to invest a large number of personnel for cooperation guarantee, and the cost is high. The known positioning precision evaluation method for evaluating the three-station cooperative positioning based on the measured data of the two-station cooperative positioning test simulates the direction-finding data of a target by a third station and the mutual direction-finding and distance-measuring data of the third station and a second station by using the two-station cooperative positioning test data, so that the three-station cooperative positioning is carried out for evaluating the positioning precision of the three-station cooperative positioning. The two-station co-location test data comprises: the method comprises the following steps that direction-finding data of a first station to a target, direction-finding data of a second station to the target, and mutual direction-finding and distance-measuring data of the first station and the second station. The statistical characteristic of the direction-finding data of the third station to the target is consistent with the statistical characteristic of the direction-finding data of the first station to the target or the statistical characteristic of the direction-finding data of the second station to the target. And the statistical characteristics of the mutual direction-finding and distance-measuring data of the third station and the second station are consistent with the statistical characteristics of the mutual direction-finding and distance-measuring data of the first station and the second station. However, in the known positioning accuracy evaluation method for evaluating the three-station cooperative positioning based on the measured data of the two-station cooperative positioning test, the parameters such as the relative position, the relative movement speed direction and the like between the third station and the target and between the third station and the second station generated by simulation are different from the parameters such as the relative position, the relative movement speed and the relative movement speed direction and the like between the second station and the target and between the second station and the first station. Therefore, the statistical property of the observation data of the third station generated by simulation is different from the actually measured data, which results in low reliability of the known positioning accuracy evaluation method for evaluating the three-station cooperative positioning based on the actually measured data of the two-station cooperative positioning test.
Disclosure of Invention
The invention aims to solve the problem that the scene lacks equivalent design support in the evaluation of the three-station cooperative positioning precision by using the two-station cooperative positioning data and reduce the cost for evaluating the three-station cooperative positioning precision. Firstly, a two-station positioning test scene and a three-station positioning simulation test scene are designed in a combined mode, so that the generated simulation observation data are consistent with the statistical characteristics of the actually measured data, then error extraction and splicing are carried out, radiation source observation data of a third station meeting the statistical characteristics of the actually measured data and mutual direction-finding distance-measuring data of the third station are generated, then the data are sent to a three-station cooperative positioning system to be evaluated, three-station cooperative positioning is carried out, a positioning result is obtained, and finally precision evaluation is carried out on the positioning result. The invention provides a positioning precision evaluation method for three-station cooperative positioning.
In order to achieve the purpose of the present invention, a positioning accuracy evaluation method for three-station cooperative positioning includes the following steps, and the implementation process and software flow are shown in fig. 1:
step 1, designing a three-station cooperative positioning scene: the two-station positioning test observation station is represented by S1 and S2, the generated third station is represented by S3, and the target station is represented byTarg. The true distance between S1 and S2 is denoted as L1The true distance between S1 and the target is denoted as R1, and the true distance between S2 and the target is denoted as R2. The motion direction of S3 is set to be vertical to the direction of the connecting line S3-Targ, and the module value of the velocity vector of S3 is set to be the same as that of the velocity vector of S1 relative to S2. Set the true distance array of S3 and S2 as [ L2]]Setting [ L ]2]=[L1]. S2 true angle of S3 is [ alpha ]2]Setting:
setting the real distance between S3 and the target to be R3 ═ R2; s3 the real direction-finding value array of the observation target is marked as [ omega ]3]Setting:
Step 3, generating observation data of a third station and data related to the third station according to the data simulation acquired by the double-station cooperative positioning test: observation angle array for observing S2 according to S1S1 Observation of the true Angle array [ alpha ] of S21]Error in extractionTo [ epsilon ]1]Cyclically shifted and superimposed to [ alpha ]2]Generating an angle observation value array of S2 observation S3Observing the observation distance array of S2 according to S1S1 Observation of the true distance array [ L ] of S21]Error in extractionTo [ epsilon ]2]Cyclically shifted and superimposed to [ L2]Generating an angle observation value array of S2 observation S3Observation angle array for observing target according to S1Or S2 observation angle array for observing targetS1 true angle array [ omega ] of observation target1]Or S2 true angle array [ omega ] of observation target2]According toOrExtraction error [ epsilon ]3]To [ epsilon ]3]Cyclically shifted and superimposed to [ omega ]3]Generating S3 observation value array for target
And step 4, executing three-station cooperative positioning: observation angle array for observing S2 according to S1S1 Observation S2 observation distance arrayS1 observation angle array for observing targetS2 Observation S3 angle observation value arrayS2 Observation S3 angle observation value arrayS3 observation value array for targetThree-station positioning is performed on the target.
And 5, evaluating the positioning result.
The invention has the beneficial effects that: by adopting the method, the double-station cooperative positioning scene is designed according to the three-station cooperative positioning scene, and the statistical properties of the data observed by the third station to the radiation source and the mutual direction-finding and distance-measuring data of the third station and the intermediate station generated by simulation are consistent with the statistical properties of the data observed by the third station to the radiation source and the mutual direction-finding and distance-measuring data of the third station and the intermediate station obtained by the three-station cooperative positioning under the real condition, so that the evaluation of the precision of the three-station cooperative positioning based on the actual measured data of the double-station cooperative positioning can be realized.
Drawings
Fig. 1 is a flowchart of a positioning accuracy evaluation method for three-station cooperative positioning.
Fig. 2 is a schematic view of a two-station co-location test scenario.
Fig. 3 is a schematic diagram of a three-station coordination scenario.
FIG. 4 is a flow chart of an embodiment of the present invention.
Detailed Description
The implementation process and the software flow are shown in fig. 3 and described as the following processes. Wherein the two-station positioning trial observatory is denoted by S1, S2, the resulting third station is denoted by S3, and the target station is denoted by Targ.
Step 1, constructing a three-station scene: s3 is configured to be adjacent to S2, and the top view passes through S3-S2-S1 in a clockwise direction. The truth distance array of S1 and S2 is set to [ L1](ii) a The truth distance array of S3 and S2 is set to [ L2]Wherein L is2=L1(ii) a Setting the real angle array of the observed target S2 as [ omega ]2](ii) a The distance from the target of S2 is set to be R2; the truth value array of the angle of S3 observed by S2 is marked as alpha2]Is provided withS3 direction-finding truth value array of observation target station is marked as [ omega ]3]Is provided with
Step 3, recording the double-station positioning testData: recording experimental observation data, and obtaining an observation angle array of S1 observation S2S1 Observation S2 observation distance arrayS1 observation angle array for observing targetS2 observation angle array for observing targetRecording experiment truth value, obtaining a true angle array [ alpha ] of S1 observation S21]S1 observing the true distance array [ L ] of S21]S1 true angle array [ omega ] of observation target1]S2 true angle array [ omega ] of observation target2]。
And 4, extracting errors: extracting a mutual direction error array of S1 observation S2Extracting mutual range error array of S1 observation S2Extracting S2 observation Targ direction error array
And 5, generating an observed value of the target S3: [ epsilon ]3]The number of elements in the array is m, [ epsilon ]3]Cyclically shift m-1 bits to obtain a new array record of [ epsilon ]4]. Generating S3 observation array for target
And 6, generating an angle observation value of S2 observation S3: [ epsilon ]1]The number of elements in the array is n, [ epsilon ]1]Cyclically shift n-1 bits to obtainGet a new array record as [ epsilon ]5]. Generating an array of angular observations of S2 Observation S3
Step 7, generating a distance observation value of S2 observation S3: [ epsilon ]2]The number of elements in the array is o, [ epsilon ]2]Cyclically shift o-1 bits to obtain a new array record of [ epsilon [ ]6]. Generating an array of angular observations of S2 Observation S3
And 8, executing three-station positioning: observation angle array for observing S2 according to S1S1 Observation S2 observation distance arrayS1 observation angle array for observing targetS2 Observation S3 angle observation value arrayS2 Observation S3 angle observation value arrayS3 observation value array for targetThree-station positioning is performed on the target.
(in the step, where the form [ X ] ═ Y ] ± [ Z ] denotes an array Y addition/subtraction array Z one by one, obtaining an array X.)
Step 9, counting the positioning error: observing the true angle array [ beta ] of the target according to S11]S2 true angle array [ beta ] of observation target2]Construct a target truth vector array [ Rst0]Calculating [ 2 ]Rst0]And [ Rst3]The modulus of each element vector difference forms a positioning error sequence [ ER]The recording sequence length is m. If m is odd, let CEP ═ ER](m + 1)/2; if m is an even number, let CEP ═ ER]m/2。
Claims (1)
1. A positioning accuracy evaluation method facing three-station cooperative positioning is characterized by comprising the following steps:
step 1: designing a three-station cooperative positioning scene: the two-station positioning test observation stations are represented by S1 and S2, the generated third station is represented by S3, and the target station is represented by Targ; the true distance between S1 and S2 is denoted as L1And the real distance between S1 and the target is denoted as R1And the real distance between S2 and the target is denoted as R2(ii) a Setting the motion direction of S3 to be vertical to the direction of the connecting line of S3-Targ, and setting the module value of the velocity vector of S3 to be the same as the module value of the velocity vector of S1 relative to S2; the true distance array of S3 and S2 is denoted as [ L2]Setting [ L ]2]=[L1](ii) a The true angle of S3 observed by S2 is recorded as [ alpha ]2]Setting:
the true distance from S3 to the target is denoted as R3Setting R3=R2(ii) a S3 the real direction-finding value array of the observation target is marked as [ omega ]3]Setting:
step 2: designing a two-station co-location test: s2 moves along the direction vertical to the connecting line S2-Targ, and the moving direction of S1 is not limited; recording experimental observations, including: s1 observation angle array for observing targetS2 observation angle array for observing targetS1 observation angle array for observing S2S1 Observation S2 observation distance arrayRecord experimental truth including: s1 true angle array [ omega ] of observation target1]S2 true angle array [ omega ] of observation target2]Obtaining a true angle array [ alpha ] of S1 observation S21]S1 observing the true distance array [ L ] of S21];
And step 3: and generating observation data of a third station and data related to the third station according to the data simulation acquired by the double-station co-location test: observation angle array for observing S2 according to S1S1 Observation of the true Angle array [ alpha ] of S21]Error in extractionTo [ epsilon ]1]Cyclically shifted and superimposed to [ alpha ]2]Generating an angle observation value array of S2 observation S3Observing the observation distance array of S2 according to S1S1 Observation of the true distance array [ L ] of S21]Error in extractionTo [ epsilon ]2]Cyclically shifted and superimposed to [ L2]Generating a distance observation value array of S2 observation S3Observation angle array for observing target according to S1Or S2 observation angle array for observing targetS1 true angle array [ omega ] of observation target1]Or S2 true angle array [ omega ] of observation target2]According toOrExtraction error [ epsilon ]3]To [ epsilon ]3]Cyclically shifted and superimposed to [ omega ]3]Generating S3 observation value array for target
And 4, step 4: performing three-station co-location: observation angle array for observing S2 according to S1S1 Observation S2 observation distance arrayS1 observation angle array for observing targetS2 Observation S3 angle observation value arrayS2 Observation S3 angle observation value arrayS3 observation value array for targetPerforming three-station positioning on the target;
and 5: and carrying out positioning result evaluation.
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