CN111398917A - Antenna beam pointing test method - Google Patents

Antenna beam pointing test method Download PDF

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CN111398917A
CN111398917A CN202010125408.7A CN202010125408A CN111398917A CN 111398917 A CN111398917 A CN 111398917A CN 202010125408 A CN202010125408 A CN 202010125408A CN 111398917 A CN111398917 A CN 111398917A
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antenna
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CN111398917B (en
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何明
张雷雨田
易彬
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Sichuan Jiuzhou Prevention And Control Technology Co ltd
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Sichuan Jiuzhou Prevention And Control Technology Co ltd
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01SRADIO 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
    • G01S7/00Details of systems according to groups G01S13/00, G01S15/00, G01S17/00
    • G01S7/02Details of systems according to groups G01S13/00, G01S15/00, G01S17/00 of systems according to group G01S13/00
    • G01S7/40Means for monitoring or calibrating
    • G01S7/4052Means for monitoring or calibrating by simulation of echoes
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02ATECHNOLOGIES FOR ADAPTATION TO CLIMATE CHANGE
    • Y02A90/00Technologies having an indirect contribution to adaptation to climate change
    • Y02A90/10Information and communication technologies [ICT] supporting adaptation to climate change, e.g. for weather forecasting or climate simulation

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  • Computer Networks & Wireless Communication (AREA)
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  • General Physics & Mathematics (AREA)
  • Radar, Positioning & Navigation (AREA)
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  • Radar Systems Or Details Thereof (AREA)

Abstract

The invention provides an antenna beam pointing test method, which comprises the following steps: the method comprises the steps that a radar performs gaze detection on a target under a first condition and a second condition respectively, and an echo amplitude value is obtained from target echo data; the first condition comprises a set working frequency point and a pitching wave beam pointing scanning mode; the second condition comprises a preset pitching wave beam direction and a frequency agility mode; comparing the echo amplitude values obtained under the first condition and the second condition with the echo amplitude values under the same condition when the antenna beam directions in a preset standard library meet the radar use requirements; and if the comparison results under the first condition and the second condition are the same, the antenna beam direction meets the radar use requirement. The invention can test the correctness of the antenna beam direction, ensure the normal function and performance of the whole radar, and can test the antenna beam direction without additional special test equipment; the method has wide application range and can be widely used for testing the beam direction of various radar antennas.

Description

Antenna beam pointing test method
Technical Field
The invention relates to the technical field of radar detection, in particular to an antenna beam pointing test method.
Background
The radar detects a target by transmitting electromagnetic waves through an antenna, and the accuracy of the antenna beam pointing directly influences the detection power, detection precision and airspace coverage of the target. The radar adopts mechanical scanning to realize the coverage of a full airspace in the azimuth direction, and realizes the adjustment of the antenna beam direction by shifting the phase of each transmitting and receiving unit on the antenna in the pitching direction, thereby realizing the coverage of an airspace in a larger range. The frequency agile radar can be rapidly switched among a plurality of working frequency points. When the device works, the working frequency point and the pitching wave beam direction can be quickly adjusted among the pulse groups. When part or all of the phase shifting units do not work, the accuracy of antenna beam pointing is directly influenced, and the radar detection power, the detection precision and the airspace coverage are influenced. Generally, the test of the directional diagram of the radar antenna needs to be finished in a special microwave darkroom, and the test in an external field also needs a more perfect test field, a test instrument and equipment, so that the test difficulty is high, the period is long, and the cost is high. In daily maintenance and periodic maintenance after delivery of radar products, an efficient and feasible test method is needed to check the correctness of antenna beam pointing and ensure the normal function and performance of the whole radar.
Disclosure of Invention
The invention provides an antenna beam pointing test method, which is used for testing the correctness of antenna beam pointing through an efficient and feasible test method and ensuring the normal function and performance of a radar complete machine.
The technical scheme of the invention is as follows:
the embodiment of the invention provides an antenna beam pointing test method, which comprises the following steps:
the method comprises the steps that a radar performs gaze detection on a target under a first condition and a second condition respectively, and an echo amplitude value is obtained from target echo data; the first condition comprises a set working frequency point and a pitching wave beam pointing scanning mode; the second condition comprises a preset pitching wave beam direction and a frequency agility mode;
comparing the echo amplitude values obtained under the first condition and the second condition with the echo amplitude values under the same condition when the antenna beam directions in a preset standard library meet the radar use requirements;
and if the comparison results under the first condition and the second condition are the same, the antenna beam direction meets the radar use requirement.
Further, the establishing of the preset standard library comprises:
testing whether the beam direction of the antenna meets the use requirement of the radar under a first condition;
testing whether the beam direction of the antenna meets the use requirement of the radar under a second condition;
if the test results of the antenna beam pointing direction under the first condition and the second condition both meet the radar use requirement, recording the corresponding relation between the first condition meeting the radar use requirement and the echo amplitude value and the corresponding relation between the second condition meeting the radar use requirement and the echo amplitude value as a preset standard library.
Further, the testing whether the antenna beam pointing direction meets the radar use requirement under the first condition includes:
the radar performs gaze detection on a target in a pitching wave beam pointing scanning mode at a set working frequency point, and acquires an echo amplitude value from target echo data;
calculating the calculation value of each pitching wave beam direction under the pitching wave beam direction scanning mode;
and calculating errors between the calculated values and the measured values of the pitching wave beam directions in the pitching wave beam direction scanning mode, wherein if the errors do not exceed a first threshold, the test result of the antenna wave beam directions under the first condition is that the radar use requirement is met.
Furthermore, the calculation value for calculating the pointing direction of each elevation beam in the elevation beam pointing scanning mode is calculated by adopting the following formula:
θn=arcsin(H/Ln)
wherein, thetanPointing to the nth elevation beam at anH is the target flying height, LnPointing to the nth elevation beam at anThe maximum value of the echo amplitude of (1) is determined.
Furthermore, the value range of the first threshold is 2% -4% of the pitching beam width of the antenna.
Further, the error between the calculated value and the measured value of each tilt beam pointing in the tilt beam pointing scanning mode is calculated by using the following formula:
Δ=|θn-an|
wherein △ is the error between the calculated and measured values of the pitch beam pointing, anFor the nth elevation beam pointing, thetanPointing to the nth elevation beam at anThe calculated value of (a).
Further, the testing whether the antenna beam pointing direction meets the radar use requirement under the second condition comprises:
the method comprises the steps that a radar performs staring detection on a target in a preset pitching wave beam pointing direction in a frequency agile mode, and an echo amplitude value is obtained from target echo data;
extracting target azimuth data of the radar at different working frequency points from the target echo data, and calculating the mean value and standard deviation of the target azimuth data of the radar at different working frequency points;
judging whether the difference value between every two mean values does not exceed a second threshold or not and whether the difference value between every two standard deviations does not exceed a third threshold or not;
and if the difference value between every two mean values does not exceed the second threshold and the difference value between every two standard deviations does not exceed the third threshold, the test result of the antenna beam direction under the second condition is that the radar use requirement is met.
Furthermore, before the radar performs gaze detection on a target in a agility mode in a preset pitch beam pointing direction and acquires an echo amplitude value from target echo data, the radar further comprises: selecting a preset pitching wave beam direction and a target flight distance range, wherein the selection conditions comprise:
range of target flight distance D0~D1And D is0≤D1So that a + thetaPitching/2≥arcsin(H/D0) And a-thetaPitching/2≤arcsin(H/D1) Wherein a is the preset pitching beam direction, H is the target flying height, D0As a lower limit of the target flight distance, D1The pitching wave beam pointing width theta of the antenna is the upper limit of the target flight distancePitchingAs arcsin (H/L), L is the target detection distance corresponding to the maximum value of the echo amplitude of the preset pitch beam pointing to a.
Furthermore, the value range of the second threshold is 2% -4% of the antenna azimuth beam width.
Further, the third threshold is 5% of the antenna azimuth beam width.
The invention provides an efficient and feasible antenna beam pointing test method, which is used for checking the correctness of antenna beam pointing, ensuring the normal functions and performances of the whole radar, and testing the antenna beam pointing without additional special test equipment; the operation is simple, quick and efficient, and the cost of testing and guaranteeing the external field of the equipment is reduced; the method has wide application range and can be widely used for testing the beam direction of various radar antennas.
Drawings
In order to more clearly illustrate the technical solutions of the embodiments of the present invention, the drawings needed to be used in the embodiments will be briefly described below, it should be understood that the following drawings only illustrate some embodiments of the present invention and therefore should not be considered as limiting the scope, and for those skilled in the art, other related drawings can be obtained according to the drawings without inventive efforts.
Fig. 1 is a flowchart of an antenna beam pointing direction testing method according to an embodiment of the present invention;
FIG. 2 is a flow chart of the establishment of a default criteria library according to an embodiment of the present invention;
fig. 3 is a flowchart for testing whether the beam direction of the antenna meets the radar use requirement under the first condition according to the embodiment of the present invention;
fig. 4 is a flowchart for testing whether the antenna beam direction meets the radar use requirement under the second condition according to the embodiment of the present invention.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. The components of embodiments of the present invention generally described and illustrated in the figures herein may be arranged and designed in a wide variety of different configurations. Thus, the following detailed description of the embodiments of the present invention, presented in the figures, is not intended to limit the scope of the invention, as claimed, but is merely representative of selected embodiments of the invention. All other embodiments, which can be derived by a person skilled in the art from the embodiments of the present invention without making any creative effort, shall fall within the protection scope of the present invention.
It should be noted that: like reference numbers and letters refer to like items in the following figures, and thus, once an item is defined in one figure, it need not be further defined and explained in subsequent figures. Meanwhile, in the description of the present application, the terms "first", "second", and the like are used only for distinguishing the description, and are not to be construed as indicating or implying relative importance.
The embodiment of the invention provides an antenna beam pointing test method, which realizes the test of antenna beam pointing and preliminary fault judgment by analyzing radar point trace data under the condition of using simple guarantee conditions of an external field and without special instruments and equipment, and provides beneficial reference for the working state and fault diagnosis of a radar.
An embodiment of the present invention provides a method for testing beam pointing of an antenna, as shown in fig. 1, including:
step S1, the radar respectively performs gaze detection on the target under the first condition and the second condition, and obtains an echo amplitude value from the target echo data.
Specifically, the first condition includes a set working frequency point and a pitching beam pointing scanning mode; the second condition includes a preset elevation beam pointing and a frequency agility mode.
The method for the radar to perform gaze detection on the target under the first condition and obtain the echo amplitude value from the target echo data includes:
(1) antenna elevation beam width is notedθPitching(determined by antenna design parameters), setting the radar to work at a fixed working frequency point f, and setting the radar to work in a pitching beam pointing scanning mode, namely, the beam pointing in the pitching direction is in a1\a2\...…\anAlternately switching;
(2) starting the radar, and performing staring detection on a target in a pitching wave beam pointing scanning mode under a set working frequency point f, wherein the flying height of the target is recorded as H;
(3) the method comprises the steps that a radar acquires target echo data and stores the target echo data through a radar terminal (the target data rate of gaze detection is high, the storage data sample size is large), wave point trace information is extracted from the target echo data, and an echo amplitude value is obtained from the extracted echo point trace information, wherein the echo amplitude value is a quantized value of echo intensity.
The radar performs gaze detection on the target under the second condition, and acquires an echo amplitude value from target echo data, which may include:
(1) note that the antenna azimuth beam width is θOrientationSelecting working frequency point f1\f2…\fmEnabling the radar to work in a frequency agile mode;
(2) starting the radar, and staring and detecting a target by the radar in a frequency agility mode on a preset pitching wave beam direction a, wherein the flying height of the target is recorded as H;
(3) the radar acquires target echo data and stores the target echo data through a radar terminal (the target data rate of gaze detection is high, so that the storage data sample size is large), extracts the echo point trace information from the target echo data, and acquires the echo amplitude value from the extracted echo point trace information.
And step S2, comparing the echo amplitude values obtained under the first condition and the second condition with the echo amplitude values under the same condition when the antenna beam direction in the preset standard library meets the radar use requirement.
Specifically, the preset standard library stores data that the antenna beam direction meets the radar use requirement, including an echo amplitude value under a first condition and an echo amplitude value under a second condition when the antenna beam direction meets the radar use requirement. And comparing the echo amplitude value acquired under the first condition with the echo amplitude value under the first condition when the antenna beam direction stored in the preset standard library meets the radar use requirement, and comparing the echo amplitude value acquired under the second condition with the echo amplitude value under the second condition when the antenna beam direction stored in the preset standard library meets the radar use requirement.
And step S3, if the comparison results under the first condition and the second condition are the same, the antenna beam direction meets the radar use requirement.
Specifically, the echo amplitude value obtained under the first condition and the echo amplitude value obtained under the second condition are both the same as the echo amplitude value under the same condition in the preset standard library, and then the current antenna beam direction meets the radar use requirement.
By the method, in the periodic maintenance of the radar, whether the antenna beam direction is normal or not is tested by comparing and analyzing the newly acquired echo amplitude value with the echo amplitude value stored in the preset standard library, and whether the function and the performance of the radar are abnormal or not can be judged efficiently and conveniently.
As shown in fig. 2, the process of establishing the preset standard library includes:
and step S21, testing whether the antenna beam direction meets the radar use requirement under the first condition.
As shown in fig. 3, testing whether the antenna beam pointing direction meets the radar use requirement under the first condition may further include:
and S211, performing gaze detection on the target by the radar in a pitching wave beam pointing scanning mode under the set working frequency point, and acquiring an echo amplitude value from target echo data.
Specifically, the radar works under a set working frequency point f, the target is subjected to gaze detection in a pitching wave beam pointing scanning mode, and the pitching wave beam points to the scanning mode, namely the wave beam pointing in the pitching direction is in a1\a2\......\anAlternately switching, the pitch beam pointing to the direction a1The target distance corresponding to the maximum value of the upper echo amplitude is L1By analogy, the pitch beam points to the direction anMaximum amplitude of upper echoThe corresponding target distance is Ln. The radar acquires target echo data, extracts wave point trace information from the target echo data, acquires a target detection distance and an echo amplitude value from the echo point trace information, and draws a target detection distance-echo amplitude map.
And step S212, calculating the calculation value of each pitching beam direction in the pitching beam direction scanning mode.
Specifically, the calculation value of each elevation beam pointing direction in the elevation beam pointing scanning mode is calculated by adopting the following formula:
θn=arcsin(H/Ln)
wherein, thetanPointing to the nth elevation beam at anH is the target flying height, LnPointing to the nth elevation beam at anThe maximum value of the echo amplitude of (1) is determined.
Step S213, an error △ between the calculated value and the measured value of each tilt beam pointing in the tilt beam pointing scanning mode is calculated, and if the error △ does not exceed the first threshold a (△ is not greater than the first threshold a), the test result of the antenna beam pointing under the first condition is that the radar use requirement is satisfied.
Specifically, an error between a calculated value and an actually measured value of each pitching beam pointing in the pitching beam pointing scanning mode is calculated by adopting the following formula:
Δ=|θn-an|
wherein △ is the error between the calculated and measured values of the pitch beam pointing, anFor the nth elevation beam pointing direction, thetan is the nth elevation beam pointing direction anThe calculated value of (a).
The value range of the first threshold is the pitching wave beam width theta of the antennaPitching2 to 4 percent of the total weight of the composition.
And step S22, testing whether the antenna beam direction meets the radar use requirement under the second condition.
As shown in fig. 4, testing whether the antenna beam pointing direction meets the radar use requirement under the second condition may further include:
s221, the radar performs gaze detection on a target in a frequency agility mode in a preset pitch beam pointing direction, and an echo amplitude value is obtained from target echo data;
specifically, the radar works at a working frequency point f in a frequency agile mode1\f2…\fmAnd secondly, performing gaze detection on the target in a preset pitch beam direction, acquiring target echo data by using a radar, extracting wave point trace information from the target echo data, acquiring a target detection distance and an echo amplitude value from the echo point trace information, and drawing a target detection distance-echo amplitude map.
Before step S221, the method may further include: selecting a preset pitching wave beam direction and a target flight distance range, wherein the selection conditions comprise:
selecting a suitable target flight distance range as D0~D1And D is0≤D1So that a + thetaPitching/2≥arcsin(H/D0) And a-thetaPitching/2≤arcsin(H/D1) Wherein a is the preset pitching beam direction, H is the target flying height, D0As a lower limit of the target flight distance, D1The pitching wave beam pointing width theta of the antenna is the upper limit of the target flight distancePitchingThe target detection distance corresponding to the maximum echo amplitude of the preset elevation beam pointing to a is L ═ arcsin (H/L). that is, an appropriate elevation pointing beam needs to be preset according to the target flight altitude, or an appropriate flight altitude needs to be selected according to the preset elevation beam pointing.
Step S222, extracting target azimuth data of the radar at different working frequency points from the target echo data, and calculating an average α of the target azimuth data of the radar at different working frequency points1...αmAnd standard deviation S1...SmRespectively, and respectively denoted as array α ═ α1,α2,…,αmThe count set S ═ S }1,S2,…,Sm}. The target azimuth angle data is processed by using a sum-difference amplitude measurement algorithm.
Step S223, determining whether the difference between every two mean values does not exceed the second threshold B, and whether the difference between every two standard deviations does not exceed the third threshold C.
Specifically, the difference between two elements in the array α and the difference between two elements in the array S are calculated, and the value range of the second threshold B is the antenna azimuth beam width thetaOrientation2 to 4 percent of the total weight of the composition. The value of the third threshold C is the antenna azimuth beam width thetaOrientation5% of the total.
Step S224, if the difference between every two mean values does not exceed the second threshold B, and the difference between every two standard deviations does not exceed the third threshold C, the test result of the antenna beam direction under the second condition is that the radar use requirement is satisfied.
Specifically, if the difference between every two elements in the array α is less than or equal to the second threshold B, and the difference between every two elements in the array S is less than or equal to the third threshold C, the result of the test on the antenna beam direction under the second condition is that the radar use requirement is satisfied.
Step S23, if the test results of the antenna beam pointing direction under the first condition and the second condition both satisfy the radar use requirement, recording a corresponding relationship between the first condition satisfying the radar use requirement and the echo amplitude value, and a corresponding relationship between the second condition satisfying the radar use requirement and the echo amplitude value, as a preset standard library.
The first condition meeting the radar use requirement and the corresponding relation of the echo amplitude value are as follows: the corresponding relation between the set working frequency point and each pitching wave beam direction in the pitching wave beam direction scanning mode and the echo amplitude value; the corresponding relation between the second condition meeting the radar use requirement and the echo amplitude value is as follows: and presetting the corresponding relation between each working frequency point and the echo amplitude value in the pitching wave beam pointing and frequency agility modes.
The antenna beam pointing test method provided by the embodiment of the invention can be widely applied to various antenna beam pointing tests, including but not limited to: the method comprises the steps of pitching testing by adopting an electrically swept active phased array antenna, testing by adopting an antenna with a sum beam and a difference beam for measuring an angle, testing the antenna beam direction of a frequency agile radar, periodically maintaining and testing a radar erected in a fixed array, and testing the complete machine function and performance of the radar. By adopting the gaze detection method, the data sample can be ensured to have enough data volume and reliability, and the influence of environmental factors in the long-time data acquisition process is eliminated.
The above description is only for the specific embodiments of the present invention, but the scope of the present invention is not limited thereto, and any person skilled in the art can easily conceive of the changes or substitutions within the technical scope of the present invention, and all the changes or substitutions should be covered within the scope of the present invention. Therefore, the protection scope of the present invention shall be subject to the protection scope of the appended claims.

Claims (10)

1. An antenna beam pointing test method, comprising:
the method comprises the steps that a radar performs gaze detection on a target under a first condition and a second condition respectively, and an echo amplitude value is obtained from target echo data; the first condition comprises a set working frequency point and a pitching wave beam pointing scanning mode; the second condition comprises a preset pitching wave beam direction and a frequency agility mode;
comparing the echo amplitude values obtained under the first condition and the second condition with the echo amplitude values under the same condition when the antenna beam directions in a preset standard library meet the radar use requirements;
and if the comparison results under the first condition and the second condition are the same, the antenna beam direction meets the radar use requirement.
2. The method for testing beam pointing of an antenna according to claim 1, wherein the establishing of the library of predetermined criteria comprises:
testing whether the beam direction of the antenna meets the use requirement of the radar under a first condition;
testing whether the beam direction of the antenna meets the use requirement of the radar under a second condition;
if the test results of the antenna beam pointing direction under the first condition and the second condition both meet the radar use requirement, recording the corresponding relation between the first condition meeting the radar use requirement and the echo amplitude value and the corresponding relation between the second condition meeting the radar use requirement and the echo amplitude value as a preset standard library.
3. The method of claim 2, wherein the testing whether the antenna beam pointing direction meets the radar use requirement under the first condition comprises:
the radar performs gaze detection on a target in a pitching wave beam pointing scanning mode at a set working frequency point, and acquires an echo amplitude value from target echo data;
calculating the calculation value of each pitching wave beam direction under the pitching wave beam direction scanning mode;
and calculating errors between the calculated values and the measured values of the pitching wave beam directions in the pitching wave beam direction scanning mode, wherein if the errors do not exceed a first threshold, the test result of the antenna wave beam directions under the first condition is that the radar use requirement is met.
4. The method according to claim 3, wherein the calculation value for each elevation beam pointing direction in the elevation beam pointing scanning mode is calculated by using the following formula:
θn=arcsin(H/Ln)
wherein, thetanPointing to the nth elevation beam at anH is the target flying height, LnPointing to the nth elevation beam at anThe maximum value of the echo amplitude of (1) is determined.
5. The method according to claim 3, wherein the first threshold is in a range of 2% to 4% of the elevation beamwidth of the antenna.
6. The method according to claim 3, wherein the error between the calculated value and the measured value of each elevation beam pointing direction in the elevation beam pointing direction scanning mode is calculated by using the following formula:
△=|θn-an|
wherein △ is the error between the calculated and measured values of the pitch beam pointing, anFor the nth elevation beam pointing, thetanPointing to the nth elevation beam at anThe calculated value of (a).
7. The method of claim 3, wherein the testing whether the antenna beam pointing direction meets the radar use requirement under the second condition comprises:
the method comprises the steps that a radar performs staring detection on a target in a preset pitching wave beam pointing direction in a frequency agile mode, and an echo amplitude value is obtained from target echo data;
extracting target azimuth data of the radar at different working frequency points from the target echo data, and calculating the mean value and standard deviation of the target azimuth data of the radar at different working frequency points;
judging whether the difference value between every two mean values does not exceed a second threshold or not and whether the difference value between every two standard deviations does not exceed a third threshold or not;
and if the difference value between every two mean values does not exceed the second threshold and the difference value between every two standard deviations does not exceed the third threshold, the test result of the antenna beam direction under the second condition is that the radar use requirement is met.
8. The antenna beam pointing test method according to claim 7, wherein the radar performs gaze detection on the target in a agile mode in a preset pitch beam pointing direction, and further comprises, before obtaining the echo amplitude value from the echo data of the target: selecting a preset pitching wave beam direction and a target flight distance range, wherein the selection conditions comprise:
range of target flight distance D0~D1And D is0≤D1So that a + thetaPitching/2≥arcsin(H/D0) And a-thetaPitching/2≤arcsin(H/D1) Wherein a is the preset pitching beam direction, H is the target flying height, D0As a lower limit of the target flight distance, D1The upper limit of the target flight distance is the pitching beam pointing width thetaPitchingAs arcsin (H/L), L is the target detection distance corresponding to the maximum value of the echo amplitude of the preset pitch beam pointing to a.
9. The method according to claim 7, wherein the second threshold is set to a value in a range of 2% to 4% of the antenna azimuth beam width.
10. The method according to claim 7, wherein the third threshold is 5% of the antenna azimuth beam width.
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