CN115902430B - Caliber antenna plane near-field measurement method, caliber antenna plane near-field measurement system, electronic equipment and medium - Google Patents

Caliber antenna plane near-field measurement method, caliber antenna plane near-field measurement system, electronic equipment and medium Download PDF

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CN115902430B
CN115902430B CN202310023185.7A CN202310023185A CN115902430B CN 115902430 B CN115902430 B CN 115902430B CN 202310023185 A CN202310023185 A CN 202310023185A CN 115902430 B CN115902430 B CN 115902430B
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antenna
iteration
plane
trusted
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CN115902430A (en
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邓晖
王森林
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Beihang University
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Abstract

The invention provides a plane near-field measurement method, a plane near-field measurement system, electronic equipment and a plane near-field measurement medium for an aperture antenna, and relates to the technical field of antenna measurement. The method comprises the steps of obtaining a plane spectrum of an antenna to be measured on a caliber surface; filtering the plane spectrum by utilizing a spectral domain filtering function to obtain an original trusted spectrum of the antenna to be detected; and correcting the original trusted spectrum by using a relaxation factor and a Fourier algorithm to obtain a corrected trusted spectrum as a far-field pattern of the antenna to be measured. The original trusted spectrum is subjected to iterative correction through a relaxation factor and a Fourier algorithm, so that the limited scanning surface truncation error can be reduced while the antenna plane near field measurement efficiency is ensured.

Description

Caliber antenna plane near-field measurement method, caliber antenna plane near-field measurement system, electronic equipment and medium
Technical Field
The present invention relates to the field of antenna measurement technologies, and in particular, to a method, a system, an electronic device, and a medium for measuring a plane near field of an aperture antenna.
Background
The antenna plane near field measurement is a technology for sampling the electric field amplitude information of a scanning surface by using a probe at the scanning surface which is one or more wavelength distances away from the antenna aperture surface, and then obtaining an antenna far field pattern by using a spatial spectrum unfolding method and near-far field transformation according to the sampling signal. In order to obtain an accurate far field pattern, an infinite scanning surface is theoretically required to be sampled, but the size of the scanning surface in actual measurement is limited, so that a limited scanning surface truncation error exists in the measured antenna far field pattern.
In actual operation, when the edge cut-off level of the scanning surface is lower than-40 dB, the electric field outside the scanning surface in the sampling signal is assumed to be 0, and the cut-off error of the limited scanning surface of the far-field pattern obtained after near-field and far-field conversion can be controlled in a smaller range. However, for large-size caliber antennas or array antennas, if the edge cut-off level of the scanning surface is kept below-40 dB, the required scanning surface is too large, so that the scanning time is too long, and the antenna measurement efficiency is reduced. If the edge cut-off level of the scanning surface cannot be ensured to be lower than-40 dB, a large limited scanning surface cut-off error exists in a far-field pattern determined by the scanning data after near-field and far-field conversion.
At present, a method for reducing the truncation error of antenna plane near field measurement is generally an extrapolation algorithm based on a band-limited function, and the method needs to introduce extra sampling data as a convergence condition, so that other types of measurement errors are inevitably introduced due to the introduction of the extra sampling data, the complexity of an antenna measurement step is increased, and the measurement efficiency of an antenna is reduced. Therefore, how to reduce the cut-off error of the limited scanning surface while ensuring the planar near-field measurement efficiency of the antenna is a problem to be solved.
Disclosure of Invention
The invention aims to provide a caliber antenna plane near field measurement method, a caliber antenna plane near field measurement system, electronic equipment and a medium, which can reduce the cut-off error of a limited scanning surface while ensuring the antenna plane near field measurement efficiency.
In order to achieve the above object, the present invention provides the following solutions:
a planar near-field measurement method for an aperture antenna, comprising:
acquiring a plane spectrum of an antenna to be measured on a caliber surface;
filtering the plane spectrum by utilizing a spectral domain filtering function to obtain an original trusted spectrum of the antenna to be detected;
and correcting the original trusted spectrum by using a relaxation factor and a Fourier algorithm to obtain a corrected trusted spectrum, and taking the corrected trusted spectrum as a far-field pattern of the antenna to be detected.
Optionally, the correcting the original trusted spectrum by using a relaxation factor and a fourier transform algorithm to obtain a corrected trusted spectrum as a far field pattern of the antenna to be measured includes:
determining the original trusted spectrum as the trusted spectrum at the 0 th iteration;
let iteration number n=1;
performing inverse Fourier transform on the trusted spectrum obtained by the n-1 th iteration to obtain an electric field on the aperture surface of the antenna to be tested in the n-th iteration;
performing zero setting treatment on an electric field outside the aperture of the antenna to be tested in the nth iteration to obtain an inner-aperture electric field of the antenna to be tested in the nth iteration;
performing Fourier transformation on the inner-caliber electric field of the antenna to be tested in the nth iteration to obtain an inner-caliber plane spectrum in the nth iteration;
weighting the intra-caliber plane spectrum at the nth iteration by using a relaxation factor to obtain an intra-caliber weighted plane spectrum at the nth iteration;
superposing the caliber inner weighted plane spectrum at the nth iteration on the credible spectrum at the nth-1 th iteration to obtain the credible spectrum at the nth iteration;
judging whether the iteration times n reach an iteration times threshold value or not to obtain a judging result;
if the judgment result is negative, increasing the value of the iteration number n by 1 and returning to the step of carrying out inverse Fourier transform on the trusted spectrum obtained by the n-1 th iteration to obtain an electric field on the aperture surface of the antenna to be tested in the n-th iteration;
and if the judgment result is yes, determining the trusted spectrum in the nth iteration as a far-field pattern of the antenna to be tested.
Optionally, the spectral domain filtering function is:
Figure 979106DEST_PATH_IMAGE001
in the method, in the process of the invention,B(k x ,k y )is a spectral domain filtering function;k x is the wave numberkAt the position ofxA component in the direction;k y is the wave numberkAt the position ofyA component in the direction;θ x for the antenna to be testedxTrusted angle of direction;θ y for the antenna to be testedyTrusted angle of direction.
Optionally, the caliber inner plane spectrum is:
Figure 240323DEST_PATH_IMAGE002
in the method, in the process of the invention,A nx (k x ,k y ) Is the firstnCaliber in-plane spectrum at multiple iterationsxA component in the direction;A ny (k x ,k y ) Is the firstnCaliber in-plane spectrum at multiple iterationsyA component in the direction;
Figure 705939DEST_PATH_IMAGE003
is the firstnMultiple iterationsWhen the caliber inner electric field of the antenna to be measured is inxA component in the direction; />
Figure 496040DEST_PATH_IMAGE004
Is the firstnThe inner electric field of the aperture of the antenna to be tested is in the following iterationyComponents in the direction.
Optionally, the intra-aperture weighted plane spectrum is:
Figure 47108DEST_PATH_IMAGE005
in the method, in the process of the invention,A’ ny (k x ,k y ) Is the firstnCaliber inner weighted plane spectrum in multiple iterationsxA component in the direction;A’ ny (k x ,k y ) Is the firstnCaliber inner weighted plane spectrum in multiple iterationsyA component in the direction;
Figure 846436DEST_PATH_IMAGE006
is a relaxation factor.
A planar near field measurement system for an aperture antenna, comprising:
the plane spectrum acquisition module is used for acquiring the plane spectrum of the antenna to be tested on the aperture plane;
the original trusted spectrum determining module is used for carrying out filtering treatment on the plane spectrum by utilizing a spectral domain filtering function to obtain an original trusted spectrum of the antenna to be detected;
the far-field pattern determining module is used for correcting the original trusted spectrum by using a relaxation factor and a Fourier algorithm to obtain a corrected trusted spectrum as a far-field pattern of the antenna to be tested.
An electronic device comprising a memory for storing a computer program and a processor that runs the computer program to cause the electronic device to perform the method for measuring a planar near field of an aperture antenna.
A computer readable storage medium, which when executed by a processor of an electronic device, causes the electronic device to perform the one aperture antenna plane near field measurement method.
According to the specific embodiment provided by the invention, the invention discloses the following technical effects:
the invention provides a plane near-field measurement method, a plane near-field measurement system, electronic equipment and a plane near-field measurement medium for an aperture antenna, wherein plane spectrum of the antenna to be measured on the aperture plane is obtained; filtering the plane spectrum by utilizing a spectral domain filtering function to obtain an original trusted spectrum of the antenna to be detected; and correcting the original trusted spectrum by using a relaxation factor and a Fourier algorithm to obtain a corrected trusted spectrum as a far-field pattern of the antenna to be measured. The original trusted spectrum is subjected to iterative correction through a relaxation factor and a Fourier algorithm, so that the limited scanning surface truncation error can be reduced while the antenna plane near field measurement efficiency is ensured.
Drawings
In order to more clearly illustrate the embodiments of the present invention or the technical solutions of the prior art, the drawings that are needed in the embodiments will be briefly described below, it being obvious that the drawings in the following description are only some embodiments of the present invention, and that other drawings may be obtained according to these drawings without inventive effort for a person skilled in the art.
FIG. 1 is a flow chart of a method for measuring the plane near field of a caliber antenna in the embodiment 1 of the invention;
FIG. 2 is a diagram showing the relative positions of the antenna aperture and the scan plane in embodiment 1 of the present invention;
FIG. 3 is a schematic diagram of a planar near-field measurement method for a caliber antenna according to embodiment 1 of the present invention;
fig. 4 is a schematic diagram illustrating the comparison between the far-field pattern and the theoretical pattern of the conventional near-far-field transforming antenna in embodiment 1 of the present invention;
fig. 5 is a schematic diagram of comparing an antenna far-field pattern obtained based on the conventional Gerchberg (name of person transliterated to gabexate) -Papoulis (name of person transliterated to saprism) algorithm with a theoretical pattern in embodiment 1 of the present invention;
FIG. 6 is a schematic diagram showing the comparison of the far-field pattern of the antenna with the theoretical pattern obtained by the modified Gerchberg-Papoulis algorithm based on the addition of the relaxation factor in example 1 of the present invention;
FIG. 7 is a graph showing the variation of iteration errors with the number of iterations of the conventional Gerchberg-Papoulis algorithm in example 1 of the present invention;
FIG. 8 is a graph showing the variation of iteration error with the number of iterations for the modified Gerchberg-Papoulis algorithm with the addition of a relaxation factor in example 1 of the present invention.
Detailed Description
The following description of the embodiments of the present invention will be made clearly and completely with reference to the accompanying drawings, in which it is apparent that the embodiments described are only some embodiments of the present invention, but not all embodiments. All other embodiments, which can be made by those skilled in the art based on the embodiments of the invention without making any inventive effort, are intended to be within the scope of the invention.
The invention aims to provide a caliber antenna plane near field measurement method, a caliber antenna plane near field measurement system, electronic equipment and a medium, which can reduce the cut-off error of a limited scanning surface while ensuring the antenna plane near field measurement efficiency.
In order that the above-recited objects, features and advantages of the present invention will become more readily apparent, a more particular description of the invention will be rendered by reference to the appended drawings and appended detailed description.
Example 1
As shown in fig. 1 and 3, the present embodiment provides a planar near-field measurement method for an aperture antenna, including:
step 101: and obtaining the plane spectrum of the antenna to be measured on the aperture plane.
Specifically, by a planar spectrum unfolding method, the planar spectrum of the antenna to be tested on the aperture plane is obtained through Fourier transformation and probe correction according to the electric field component on the scanning plane output by the probe. If a functionf(t) Spectral function of (2)F(ɷ) all 0 s outside a certain limited range, thenf(t) Is an analytical function, the analysis of which means: if it is atA certain interval is known everywhere. The Gerchberg-Papoulis algorithm maintains a function based on this principlef(t) Is kept unchanged, gradually recovering the function by continuously imposing a band-limited constraint on its spectral functionf(t) Unknown portions, thereby making the cut-offf(t) Gradually reverting to infinite interval in iterative processf(t). For planar near field antenna measurement, the antenna to be measured is a pencil beam antenna, the electric field on the aperture surface of the antenna is mainly concentrated in the aperture, and the electric field outside the aperture can be regarded as 0, which meets the requirement of the Gerchberg-Papoulis algorithm on the limited frequency band. So that the trusted spectrum, which can be measured by a limited scanning surface, can be extrapolated to obtain a planar spectrum outside the trusted spectrum. The relative relationship between the aperture plane and the scanning plane of the aperture antenna during measurement is shown in fig. 2. The caliber surface of the antenna to be measured is positioned on an xoy plane, and the sizes of the x direction and the y direction are respectively as followsD x AndD y the scanning surface is parallel to the caliber surface, the distance between the scanning surface and the caliber surface is d, and the dimensions of the scanning surface in the x direction and the y direction are respectivelyL x AndL y
the plane spectrum was determined using the following formula:
Figure 900980DEST_PATH_IMAGE007
Figure 393141DEST_PATH_IMAGE008
Figure 431504DEST_PATH_IMAGE009
wherein, the liquid crystal display device comprises a liquid crystal display device,
Figure 503366DEST_PATH_IMAGE010
representing the scanning surface of the probe outputx,y,d) The electric field received at the location is atxA component of direction; />
Figure 943574DEST_PATH_IMAGE011
Representing the scanning surface of the probe outputx,y,d) The electric field received at the location is atyA component of direction;
Figure 75478DEST_PATH_IMAGE012
representing the planar spectrum of the antenna to be measured on the aperture planexA component of direction; />
Figure 601137DEST_PATH_IMAGE013
Representing the planar spectrum of the antenna to be measured on the aperture planeyA component of direction; />
Figure 476690DEST_PATH_IMAGE014
Representing wave numberskIs at (1)xA component of direction; />
Figure 771405DEST_PATH_IMAGE015
Representing wave numberskIs at (1)yA component of direction;k z representing wave numberskIs at (1)zA component of direction; />
Figure 339789DEST_PATH_IMAGE016
Is in the form of a vector of the probe emission plane spectrum, +.>
Figure 87165DEST_PATH_IMAGE017
Is the vector form of the planar spectrum of the antenna to be measured; />
Figure 766408DEST_PATH_IMAGE018
Representing the plane spectrum of the antenna to be measured on the scanning surface when the distance from the scanning surface to the aperture surface is dxA component of direction; />
Figure 915630DEST_PATH_IMAGE019
Representing the plane spectrum of the antenna to be measured on the scanning surface when the distance from the scanning surface to the aperture surface is dyA component of direction; />
Figure 654916DEST_PATH_IMAGE020
Representing the plane spectrum of the antenna to be measured on the scanning surface when the distance from the scanning surface to the aperture surface is 0xA component of direction;
Figure 889588DEST_PATH_IMAGE021
representing the plane spectrum of the antenna to be measured on the scanning surface when the distance from the scanning surface to the aperture surface is 0yA component of direction. />
Figure 106943DEST_PATH_IMAGE022
Plane wave representing probe response.
Obtaining a trusted angle and a spectral domain filtering function of the antenna to be measured according to the caliber size of the antenna to be measured, the size of the scanning surface and the distance from the scanning surface to the caliber of the antenna:
Figure 376250DEST_PATH_IMAGE023
in the method, in the process of the invention,θ x for the antenna to be testedxTrusted angle of direction;θ y for the antenna to be testedyTrusted angle of direction.L x For the dimension of the scan plane in the x-direction,L y for the dimensions of the scan plane and the y-direction,D x the dimension of the antenna to be measured in the x direction;D y is the dimension of the antenna to be measured in the y direction.
Step 102: filtering the plane spectrum by utilizing a spectral domain filtering function to obtain an original trusted spectrum of the antenna to be detected; and obtaining the plane spectrum of the antenna to be tested on the aperture plane by a plane spectrum expansion method through Fourier transformation and probe correction according to the electric field component on the scanning plane output by the probe. In this step, the probe is positioned on the scanning surface, and the probe body directional diagram influence is considered, and the probe influence is removed through the probe correction. The spectral domain filter function is:
Figure 552017DEST_PATH_IMAGE024
in the method, in the process of the invention,B(k x ,k y )is a spectral domain filtering function;k x is the wave numberkAt the position ofxA component in the direction;k y is the wave numberkAt the position ofyA component in the direction;θ x for the antenna to be testedxTrusted angle of direction;θ y for the antenna to be testedyTrusted angle of direction.
The original trusted spectrum of the antenna to be measured is:
Figure 273985DEST_PATH_IMAGE025
wherein, the liquid crystal display device comprises a liquid crystal display device,
Figure 295031DEST_PATH_IMAGE026
is the original trusted spectrum of the antenna to be measuredxA component in the direction; />
Figure 153265DEST_PATH_IMAGE027
Is the original trusted spectrum of the antenna to be measuredyComponents in the direction.
Step 103: and carrying out correction processing on the original trusted spectrum by using a relaxation factor and a Fourier algorithm to obtain a corrected trusted spectrum, and taking the corrected trusted spectrum as a far-field pattern of the antenna to be tested.
For example, step 103 includes:
step 1031: determining the original trusted spectrum as the trusted spectrum at the 0 th iteration;
step 1032: let iteration number n=1;
step 1033: performing inverse Fourier transform on the trusted spectrum obtained in the n-1 th iteration to obtain an electric field on the aperture surface of the antenna to be tested in the n-th iteration:
Figure 234354DEST_PATH_IMAGE028
wherein, the liquid crystal display device comprises a liquid crystal display device,
Figure 443618DEST_PATH_IMAGE029
an x component of an electric field on a diameter surface of the antenna to be measured; />
Figure 268355DEST_PATH_IMAGE030
Is the y component of the electric field at the aperture plane of the antenna to be measured. In this step +.>
Figure 270112DEST_PATH_IMAGE031
And->
Figure 256523DEST_PATH_IMAGE032
The electric field outside the aperture is not zero.
Step 1034: performing zero setting treatment on an electric field outside the aperture of the antenna to be tested in the nth iteration to obtain an inner-aperture electric field of the antenna to be tested in the nth iteration;
step 1035: performing Fourier transformation on the inner-caliber electric field of the antenna to be tested in the nth iteration to obtain an inner-caliber plane spectrum in the nth iteration; the caliber inner plane spectrum is as follows:
Figure 218663DEST_PATH_IMAGE033
in the method, in the process of the invention,A nx (k x ,k y ) Is the firstnCaliber in-plane spectrum at multiple iterationsxA component in the direction;A ny (k x ,k y ) Is the firstnCaliber in-plane spectrum at multiple iterationsyA component in the direction;
Figure 581511DEST_PATH_IMAGE034
is the firstnThe inner electric field of the aperture of the antenna to be tested is in the following iterationxA component in the direction; />
Figure 679917DEST_PATH_IMAGE035
Is the firstnThe inner electric field of the aperture of the antenna to be tested is in the following iterationyComponents in the direction.
Step 1036: weighting the intra-caliber plane spectrum at the nth iteration by using a relaxation factor to obtain an intra-caliber weighted plane spectrum at the nth iteration; in the step, the electric field on the aperture plane of the antenna is considered to be not completely concentrated in the aperture, so that the plane spectrum of the antenna in the iteration process is divergent, and the divergence of the plane spectrum of the antenna in the iteration process can be restrained by adding a relaxation factor, so that the plane spectrum of the antenna can be quickly converged. The intra-aperture weighted plane spectrum is:
Figure 837229DEST_PATH_IMAGE036
in the method, in the process of the invention,A’ ny (k x ,k y ) Is the firstnCaliber inner weighted plane spectrum in multiple iterationsxA component in the direction;A’ ny (k x ,k y ) Is the firstnCaliber inner weighted plane spectrum in multiple iterationsyA component in the direction;
Figure 21086DEST_PATH_IMAGE037
is a relaxation factor. />
Figure 187625DEST_PATH_IMAGE038
If the iteration process is smaller than 1, the iteration process tends to converge, < >>
Figure 874958DEST_PATH_IMAGE039
Smaller convergence speeds are faster, but the accuracy of the iteration is reduced, typically taking 0.8</>
Figure 468750DEST_PATH_IMAGE040
<1。
Step 1037: superposing the caliber inner weighted plane spectrum at the nth iteration on the credible spectrum at the nth-1 th iteration to obtain the credible spectrum at the nth iteration;
the trusted spectrum at the nth iteration is:
Figure 874324DEST_PATH_IMAGE041
in the method, in the process of the invention,
Figure 844554DEST_PATH_IMAGE042
for the trusted spectrum at the nth iterationxA component in the direction; />
Figure 651973DEST_PATH_IMAGE043
For the trusted spectrum at the nth iterationyComponents in the direction.
Step 1038: judging whether the iteration times n reach an iteration times threshold value or not to obtain a judging result; if the determination result is no, executing step 1039; if yes, go to step 10310.
Step 1039: increasing the number of iterations n by 1 and returning to step 1033;
step 10310: and determining the trusted spectrum at the nth iteration as a far-field pattern of the antenna to be tested.
The above scheme in this embodiment will be specifically described assuming that the antenna to be tested shown in fig. 2 is a rectangular horn antenna, and the caliber sizes of the antenna to be tested in the x direction and the y direction are set as follows
Figure DEST_PATH_IMAGE044
,/>
Figure 213404DEST_PATH_IMAGE045
The frequency of the test is 1.645GHz, the wavelength lambda is 182mm, the distance d between the scanning surface and the aperture surface is 5 lambda, and the dimensions of the scanning surface in the x direction and the y direction are +.>
Figure DEST_PATH_IMAGE046
And->
Figure 903012DEST_PATH_IMAGE047
The sampling interval in the x direction and the y direction is 0.25λ, the sampling points in the x direction and the y direction are 49, and the trusted angles in the x direction and the y direction are +.>
Figure DEST_PATH_IMAGE048
And->
Figure 473670DEST_PATH_IMAGE049
. Synthesizing the previous analysis, ensuring the algorithm accuracy and the iteration rapid convergence, and taking
Figure DEST_PATH_IMAGE050
Fig. 4 is a schematic diagram showing the comparison between the conventional near-far field transformation result and the theoretical pattern of the antenna to be tested, wherein the solid line is the theoretical pattern, the dotted line is the pattern obtained by the conventional near-far field transformation, the abscissa is the angle, and the ordinate is the normalized amplitude of the pattern. It can be seen from fig. 4 that the conventional near-far field transformed pattern has a good agreement with the theoretical pattern only in the trusted angular domain.
Fig. 5 is a schematic diagram of comparing a far field pattern of an antenna to be measured obtained based on a conventional Gerchberg-Papoulis algorithm with a theoretical pattern, wherein a solid line is the theoretical pattern, and a dotted line is the far field pattern of the antenna to be measured obtained based on the conventional Gerchberg-Papoulis algorithm. It can be seen from fig. 5 that, outside the trusted angle region, the far-field pattern and the theoretical pattern of the antenna to be tested obtained by the conventional Gerchberg-Papoulis algorithm have higher fitness on the whole.
Fig. 6 is a schematic diagram of comparing a far field pattern of an antenna to be measured obtained based on a Gerchberg-Papoulis algorithm with a relaxation factor, wherein a solid line is a theoretical pattern, and a dotted line is a far field pattern of the antenna to be measured obtained based on the Gerchberg-Papoulis algorithm with the relaxation factor. It can be seen from fig. 6 that, outside the trusted angle region, the far-field pattern and the theoretical pattern of the antenna to be measured obtained by the Gerchberg-Papoulis algorithm added with the relaxation factor have higher fitness on the whole, and compared with the far-field pattern obtained by the traditional Gerchberg-Papoulis algorithm, the far-field pattern and the theoretical pattern of the antenna to be measured obtained by the Gerchberg-Papoulis algorithm added with the relaxation factor have higher fitness on the whole.
FIG. 7 is a graph showing the variation of the error of the conventional Gerchberg-Papoulis algorithm in the iterative process. As can be seen from fig. 7, the error of the conventional Gerchberg-Papoulis algorithm in the iteration process decreases first and then increases with the number of iterations, and does not tend to converge, and the iteration error reaches a minimum at the 18 th iteration. The calculation formula of the iteration error is as follows:
Figure 197913DEST_PATH_IMAGE051
Figure DEST_PATH_IMAGE052
wherein, the liquid crystal display device comprises a liquid crystal display device,
Figure 930245DEST_PATH_IMAGE053
by modifying the plane spectrum +.>
Figure DEST_PATH_IMAGE054
The calculated distance between the aperture plane and the scanning plane is +.>
Figure 107149DEST_PATH_IMAGE055
Is a reference plane of the magnetic field. />
Figure DEST_PATH_IMAGE056
The distance from the caliber surface obtained for the nth iteration is +.>
Figure 950340DEST_PATH_IMAGE057
Electric field distribution on the reference plane of +.>
Figure 732351DEST_PATH_IMAGE058
For the distance between the aperture surface and the scanning surface to be +.>
Figure 838847DEST_PATH_IMAGE059
An additionally sampled row-to-column electric field distribution over a reference plane of (a); />
Figure 706309DEST_PATH_IMAGE060
Is the firstIteration errors in n iterations; m represents the sampling point number.
As shown in fig. 8, this is a schematic diagram of the variation of the Gerchberg-Papoulis algorithm with the addition of a relaxation factor in the iterative process error. From fig. 8, it can be seen that the Gerchberg-Papoulis algorithm with added relaxation factor monotonically decreases in the iteration process error and eventually rapidly tends to converge, and the iteration error tends to stabilize after the 27 th iteration.
The method for measuring the plane near field of the aperture antenna, which is provided by the embodiment, is applied to the measurement of the plane near field antenna, can reduce the influence of the truncation error on the antenna far field pattern which is actually measured, effectively extrapolates the trusted angle domain, and has larger engineering practical application value; in addition, the embodiment considers that the Gerchberg-Papoulis algorithm has slow convergence speed in practical application, and meanwhile, the electric field on the antenna aperture surface is not completely concentrated in the aperture surface in practice and other calculation errors introduced in the iteration process lead to the fact that the practical iteration process does not tend to converge, and provides a relaxation factor
Figure 822033DEST_PATH_IMAGE061
The introduction of the relaxation factor makes the iterative process tend to converge, and simultaneously greatly improves the convergence speed of the algorithm. Furthermore, in this embodiment, an additional measurement result is introduced as a reference condition for convergence in the antenna measurement process, so that the problem that other errors are more easily introduced at the same time as well as the complexity of measurement is increased, and therefore, after a relaxation factor is introduced, the iteration is quickly converged, only a certain iteration number is required to be set, and the iteration is terminated when the maximum iteration number is reached, so that the iteration termination condition is simplified, the efficiency of antenna measurement is improved, and the extrapolation accuracy of an algorithm is improved.
Example 2
As shown in fig. 3, the present embodiment provides a planar near-field measurement method for an aperture antenna, which includes the following steps:
and S10, obtaining the plane spectrum of the antenna to be tested on the aperture plane by a plane spectrum unfolding method through Fourier transformation and probe correction according to the electric field component on the scanning plane output by the probe.
Step S20, obtaining a trusted angle and a spectral domain filter function of the antenna to be tested according to the aperture size, the scanning surface size and the distance from the scanning surface to the antenna aperture of the antenna to be tested
Step S30: and filtering the plane spectrum on the antenna aperture plane by a spectral domain filtering function to obtain the original trusted spectrum of the antenna.
Step S40: the electric field on the antenna aperture plane is obtained from the antenna's trusted spectrum (corrected plane spectrum) through an inverse fourier transform.
Step S50: and (3) setting the electric field on the aperture surface of the antenna outside the aperture to zero, and performing Fourier transformation to obtain an unweighted plane spectrum.
Step S60: relaxation factor weighting of an untrusted spectrum of an unweighted planar spectrum
Step S70: and adding the weighted non-trusted spectrum and the original trusted spectrum to obtain a corrected plane spectrum of the antenna to be tested.
Step S80: repeating the steps S30 to S70 until the number of iterations reaches the set maximum number of iterations N, terminating the iterations, and outputting the corrected plane spectrum of the antenna to be tested in the step 70 as a far-field pattern of the antenna to be tested.
Example 3
In order to perform the method corresponding to the above embodiment 1 to achieve the corresponding functions and technical effects, the following provides a planar near-field measurement system for an aperture antenna, including:
the plane spectrum acquisition module is used for acquiring the plane spectrum of the antenna to be measured on the aperture plane.
The original trusted spectrum determining module is used for carrying out filtering processing on the plane spectrum by utilizing the spectral domain filtering function to obtain an original trusted spectrum of the antenna to be detected.
The far-field pattern determining module is used for correcting the original trusted spectrum by using the relaxation factor and the Fourier algorithm to obtain a corrected trusted spectrum as a far-field pattern of the antenna to be measured.
Example 4
The present embodiment provides an electronic device, including a memory and a processor, where the memory is configured to store a computer program, and the processor is configured to execute the computer program to cause the electronic device to execute a method for measuring a planar near field of an aperture antenna according to embodiment 1.
Example 5
The present embodiment provides a computer-readable storage medium, which when executed by a processor of an electronic device, causes the electronic device to perform a caliber antenna plane near field measurement method as described in embodiment 1.
In the present specification, each embodiment is described in a progressive manner, and each embodiment is mainly described in a different point from other embodiments, and identical and similar parts between the embodiments are all enough to refer to each other. For the system disclosed in the embodiment, since it corresponds to the method disclosed in the embodiment, the description is relatively simple, and the relevant points refer to the description of the method section.
The principles and embodiments of the present invention have been described herein with reference to specific examples, the description of which is intended only to assist in understanding the methods of the present invention and the core ideas thereof; also, it is within the scope of the present invention to be modified by those of ordinary skill in the art in light of the present teachings. In view of the foregoing, this description should not be construed as limiting the invention.

Claims (7)

1. The planar near-field measurement method for the caliber antenna is characterized by comprising the following steps of:
acquiring a plane spectrum of an antenna to be measured on a caliber surface;
filtering the plane spectrum by utilizing a spectral domain filtering function to obtain an original trusted spectrum of the antenna to be detected;
correcting the original trusted spectrum by using a relaxation factor and a Fourier algorithm to obtain a corrected trusted spectrum; taking the corrected trusted spectrum as a far field pattern of the antenna to be tested;
the method for correcting the original trusted spectrum by using the relaxation factor and the Fourier algorithm to obtain a corrected trusted spectrum comprises the following steps:
determining the original trusted spectrum as the trusted spectrum at the 0 th iteration;
let iteration number n=1;
performing inverse Fourier transform on the trusted spectrum obtained by the n-1 th iteration to obtain an electric field on the aperture surface of the antenna to be tested in the n-th iteration;
performing zero setting treatment on an electric field outside the aperture of the antenna to be tested in the nth iteration to obtain an inner-aperture electric field of the antenna to be tested in the nth iteration;
performing Fourier transformation on the inner-caliber electric field of the antenna to be tested in the nth iteration to obtain an inner-caliber plane spectrum in the nth iteration;
weighting the intra-caliber plane spectrum at the nth iteration by using a relaxation factor to obtain an intra-caliber weighted plane spectrum at the nth iteration;
superposing the caliber inner weighted plane spectrum at the nth iteration on the credible spectrum at the nth-1 th iteration to obtain the credible spectrum at the nth iteration;
judging whether the iteration times n reach an iteration times threshold value or not to obtain a judging result;
if the judgment result is negative, increasing the value of the iteration number n by 1 and returning to the step of carrying out inverse Fourier transform on the trusted spectrum obtained by the n-1 th iteration to obtain an electric field on the aperture surface of the antenna to be tested in the n-th iteration;
and if the judgment result is yes, determining the trusted spectrum in the nth iteration as a far-field pattern of the antenna to be tested.
2. The method for measuring the planar near field of a caliber antenna according to claim 1, wherein the spectral domain filter function is:
Figure QLYQS_1
in the method, in the process of the invention,B(k x ,k y )is a spectral domain filtering function;k x is the wave numberkAt the position ofxA component in the direction;k y is the wave numberkAt the position ofyA component in the direction;θ x for the antenna to be testedxTrusted angle of direction;θ y for the antenna to be testedyTrusted angle of direction.
3. The method for measuring the plane near field of a caliber antenna according to claim 2, wherein the plane spectrum in the caliber is:
Figure QLYQS_2
in the method, in the process of the invention,A nx (k x ,k y ) Is the firstnCaliber in-plane spectrum at multiple iterationsxA component in the direction;A ny (k x ,k y ) Is the firstnCaliber in-plane spectrum at multiple iterationsyA component in the direction;
Figure QLYQS_3
is the firstnThe inner electric field of the aperture of the antenna to be tested is in the following iterationxA component in the direction; />
Figure QLYQS_4
Is the firstnThe inner electric field of the aperture of the antenna to be tested is in the following iterationyComponents in the direction.
4. A method of planar near field measurement of an aperture antenna according to claim 3, wherein the intra-aperture weighted planar spectrum is:
Figure QLYQS_5
in the method, in the process of the invention,A’ nx (k x ,k y ) Is the firstnCaliber inner weighted plane spectrum in multiple iterationsxA component in the direction;A’ ny (k x ,k y ) Is the firstnCaliber inner weighted plane spectrum in multiple iterationsyA component in the direction;
Figure QLYQS_6
is a relaxation factor.
5. A planar near field measurement system for an aperture antenna, comprising:
the plane spectrum acquisition module is used for acquiring the plane spectrum of the antenna to be tested on the aperture plane;
the original trusted spectrum determining module is used for carrying out filtering treatment on the plane spectrum by utilizing a spectral domain filtering function to obtain an original trusted spectrum of the antenna to be detected;
the far-field pattern determining module is used for correcting the original trusted spectrum by using a relaxation factor and a Fourier algorithm to obtain a corrected trusted spectrum as a far-field pattern of the antenna to be detected;
the far-field pattern determining module is used for determining the original trusted spectrum to be the trusted spectrum at the 0 th iteration; let iteration number n=1; performing inverse Fourier transform on the trusted spectrum obtained by the n-1 th iteration to obtain an electric field on the aperture surface of the antenna to be tested in the n-th iteration; performing zero setting treatment on an electric field outside the aperture of the antenna to be tested in the nth iteration to obtain an inner-aperture electric field of the antenna to be tested in the nth iteration; performing Fourier transformation on the inner-caliber electric field of the antenna to be tested in the nth iteration to obtain an inner-caliber plane spectrum in the nth iteration; weighting the intra-caliber plane spectrum at the nth iteration by using a relaxation factor to obtain an intra-caliber weighted plane spectrum at the nth iteration; superposing the caliber inner weighted plane spectrum at the nth iteration on the credible spectrum at the nth-1 th iteration to obtain the credible spectrum at the nth iteration; judging whether the iteration times n reach an iteration times threshold value or not to obtain a judging result; if the judgment result is negative, increasing the value of the iteration number n by 1 and returning the value of the iteration number n to 'carrying out inverse Fourier transform on a trusted spectrum obtained by the n-1 th iteration, so as to obtain an electric field on the aperture surface of the antenna to be tested in the n-th iteration'; and if the judgment result is yes, determining the trusted spectrum in the nth iteration as a far-field pattern of the antenna to be tested.
6. An electronic device comprising a memory for storing a computer program and a processor that runs the computer program to cause the electronic device to perform a method of aperture antenna plane near field measurement according to any one of claims 1 to 4.
7. A computer readable storage medium, characterized in that program code in the computer readable storage medium, when executed by a processor of an electronic device, enables the electronic device to perform a caliber antenna plane near field measurement method according to any one of claims 1 to 4.
CN202310023185.7A 2023-01-09 2023-01-09 Caliber antenna plane near-field measurement method, caliber antenna plane near-field measurement system, electronic equipment and medium Active CN115902430B (en)

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