CN113708853A - Impedance mismatch correction method and device for antenna group delay measurement - Google Patents
Impedance mismatch correction method and device for antenna group delay measurement Download PDFInfo
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Abstract
The invention discloses an impedance mismatch correction method and device aiming at antenna group delay measurement, which are applied to an antenna measurement system and comprise the following steps: respectively acquiring a phase function of each antenna measurement subsystem in the antenna measurement system; respectively calculating the group delay of each antenna measurement subsystem based on the phase function; generating a group delay measurement equation set of the whole antenna measurement system based on the group delay; acquiring a first phase change value, a second phase change value and a third phase change value of the system in each antenna measurement subsystem; obtaining a first group delay measurement error, a second group delay measurement error and a third group delay measurement error based on the first phase change value, the second phase change value and the three phase change value; obtaining a total mismatch correction factor based on a group delay measurement equation set of the antenna measurement system and first, second and third group delay measurement errors; and performing impedance mismatch correction on the group delay measurement result of the antenna to be measured based on the total mismatch correction factor.
Description
Technical Field
The invention relates to the technical field of antenna group delay measurement, in particular to an impedance mismatch correction method and device for antenna group delay measurement.
Background
The antenna performance is described by parameters such as group delay, gain, directional diagram, standing-wave ratio, etc., wherein the group delay not only determines the size of the network transmission delay of the system, but also affects the signal transmission distortion and transmission quality of the system, and particularly for a satellite navigation positioning system, the antenna group delay is an important delay quantity in the system, directly determines the positioning accuracy of the system, and is one of the key parameters of the system. Impedance mismatch is a condition frequently encountered in the field of radio measurement, and for group delay measurement, as the phase of a received signal is changed, group delay measurement errors are caused, and uncertainty components are generated, a perfect impedance mismatch correction method for antenna group delay measurement is urgently needed to be provided.
Disclosure of Invention
Therefore, the technical problem to be solved by the present invention is to overcome the defect in the prior art that the measurement error caused by the impedance mismatch in the antenna group delay measurement process is not corrected, so as to provide an impedance mismatch correction method and apparatus for the antenna group delay measurement.
According to a first aspect, an embodiment of the present invention discloses an impedance mismatch correction method for antenna group delay measurement, which is applied to an antenna measurement system, where the antenna measurement system includes: a first antenna measurement subsystem, a second antenna measurement subsystem, and a third antenna measurement subsystem, the method comprising: respectively obtaining a phase function of each antenna measurement subsystem in the antenna measurement system, wherein the phase function is obtained by calculating the sum of the phase functions of the antennas contained in the corresponding antenna measurement subsystem, the phase function of the antenna measurement subsystem and a distance phase function; respectively calculating the group delay of each antenna measurement subsystem based on the phase function of each antenna measurement subsystem; generating a group delay measurement equation set of the antenna measurement system based on the group delay of each antenna measurement subsystem; acquiring a first phase change value of a receiving end, a second phase change value of a transmitting end and a third phase change value of the antenna measurement subsystem in each antenna measurement subsystem; calculating to obtain corresponding first group delay measurement errors, second group delay measurement errors and third group delay measurement errors based on the first phase change value, the second phase change value and the third phase change value; obtaining a total mismatch correction factor based on a group delay measurement equation set of the antenna measurement system and the first group delay measurement error, the second group delay measurement error and the third group delay measurement error; and performing impedance mismatch correction on the group delay of the antenna to be detected based on the total mismatch correction factor.
Optionally, the process of obtaining the first phase change value of the receiving end in each antenna measurement subsystem includes: respectively acquiring a first signal output by a receiving antenna of each antenna measurement subsystem and a second signal received by the receiving terminal based on an equivalent network model of the receiving terminal of each antenna measurement subsystem; and calculating the first phase change value based on the first signal and the second signal of each antenna measurement subsystem respectively.
Optionally, the first phase change value is calculated by the following formula:
b + a is the second signal received by the receiving end, E is the first signal output by the receiving antenna, FRAFor receiving antenna reflection coefficient, FRPIs the reflection coefficient of the receiving end;
calculating the first group delay measurement error by:
where Δ f is the frequency difference.
Optionally, a directional coupler is disposed between a signal source and a transmitting antenna of the antenna measurement system, and a process of obtaining a second phase change value of a transmitting end in each antenna measurement subsystem includes: respectively acquiring a first signal output by the transmitting end of each antenna measurement subsystem and a received second signal based on the equivalent network model of the transmitting end of each antenna measurement subsystem; wherein the first signal is an output signal of an output end of the directional coupler; and calculating the second phase change value based on the first signal and the second signal of each antenna measurement subsystem respectively.
Optionally, the second phase change value is calculated by the following formula:
wherein, a2+b2For the received second signal, E' is the first signal output by the transmitting terminal, ΓTPIs the reflection coefficient of the transmitting end in the equivalent network model, gammaTAFor the reflection coefficient of the transmitting antenna, gammaDPort reflection coefficient of cable connected to coupling end of directional coupler, b3For outputting signals, S, from ports of directional coupler 321、S22、S23、S31And S33The S parameter between the ports of the directional coupler is obtained;
calculating the second group delay measurement error by the following equation:
where Δ f is the frequency difference.
Optionally, the process of obtaining the third phase change value of the antenna measurement subsystem itself includes:
respectively acquiring a first signal output by a transmitting end and a second signal received by a receiving end of each antenna measurement subsystem based on the direct connection measurement equivalent network model of each antenna measurement subsystem; and calculating the third phase change value based on the first signal and the second signal of each antenna measurement subsystem respectively.
Optionally, the third phase change value is calculated by the following formula:
wherein, a2+b2For the second signal received by the receiving end, E' is the first signal output by the transmitting end, ΓTPIs the reflection coefficient of the transmitting end in the equivalent network model, S12For reverse transmission coefficient, S21Is a forward transmission coefficient, S11For input of reflection coefficient, S22To output the reflection coefficient, ΓRPIs the reflection coefficient of the receiving end;
calculating the third group delay measurement error by the following equation:
where Δ f is the frequency difference.
Optionally, obtaining a total mismatch correction factor based on a group delay measurement equation set of the antenna measurement system and the first group delay measurement error, the second group delay measurement error, and the third group delay measurement error, includes: respectively obtaining a receiving end first phase function after mismatch correction, a transmitting end second phase function after mismatch correction and a third phase function of each antenna measurement subsystem after mismatch correction; obtaining a phase function equation after the mismatch correction of each antenna measurement subsystem based on the first phase function, the second phase function and the third phase function after the mismatch correction; obtaining a group delay measurement equation after mismatch correction of each subsystem based on the phase function equation; and obtaining the total mismatch correction factor based on the group delay measurement equation after the mismatch correction of each measurement subsystem and a simultaneous equation set.
Optionally, the antenna operating frequency band of each antenna measurement subsystem in the antenna measurement system is the same.
According to a second aspect, an embodiment of the present invention further discloses an impedance mismatch correction apparatus for antenna group delay measurement, which is applied to an antenna measurement system, and includes: the first acquisition module is used for respectively acquiring a phase function of each antenna measurement subsystem in the antenna measurement system, wherein the phase function is obtained by calculating the sum of the phase functions of the antennas contained in the corresponding antenna measurement subsystem, the phase function of the antenna measurement subsystem and a distance phase function; the first calculation module is used for respectively calculating the group delay of each antenna measurement subsystem based on the phase function of each antenna measurement subsystem; a measurement equation set generating module, configured to generate a group delay measurement equation set of the antenna measurement system according to the group delay of each antenna measurement subsystem; the second acquisition module is used for acquiring a first phase change value of a receiving end, a second phase change value of a transmitting end and a third phase change value of the antenna measurement subsystem in each antenna measurement subsystem; a second calculating module, configured to calculate, based on the first phase variation value, the second phase variation value, and the third phase variation value, a corresponding first group delay measurement error, a corresponding second group delay measurement error, and a corresponding third group delay measurement error; a third calculation module, configured to obtain a total mismatch correction factor based on a group delay measurement equation set of the antenna measurement subsystem and the first group delay measurement error, the second group delay measurement error, and a third group delay measurement error; and the correction module is used for carrying out impedance mismatch correction on the group delay of the antenna to be detected based on the total mismatch correction factor.
According to a third aspect, an embodiment of the present invention further discloses an electronic device, including: at least one processor; and a memory communicatively coupled to the at least one processor; wherein the memory stores instructions executable by the at least one processor, the instructions being executable by the at least one processor to cause the at least one processor to perform the steps of a method for impedance mismatch correction for antenna group delay measurement as described in the first aspect or any one of the optional embodiments of the first aspect.
According to a fourth aspect, the embodiments of the present invention also disclose a computer-readable storage medium, on which a computer program is stored, where the computer program, when executed by a processor, implements the steps of the method for correcting impedance mismatch for antenna group delay measurement according to the first aspect or any optional embodiment of the first aspect.
The technical scheme of the invention has the following advantages:
the invention provides an impedance mismatch correction method, an impedance mismatch correction device and electronic equipment for antenna group delay measurement, wherein the method is applied to an antenna measurement system and comprises the following steps: respectively acquiring a phase function of each antenna measurement subsystem in the antenna measurement system; respectively calculating the group delay of each antenna measurement subsystem based on the phase function; generating a group delay measurement equation set of the antenna measurement system based on the group delay; acquiring a first phase change value of a receiving end, a second phase change value of a transmitting end and a third phase change value of an antenna measurement subsystem in each antenna measurement subsystem; calculating to obtain corresponding first group delay measurement errors, second group delay measurement errors and third group delay measurement errors based on the first phase change value, the second phase change value and the third phase change value; obtaining a total mismatch correction factor based on a group delay measurement equation set of the antenna measurement system and a first group delay measurement error, a second group delay measurement error and a third group delay measurement error; and performing impedance mismatch correction on the group delay of the antenna to be detected based on the total mismatch correction factor. In the embodiment of the invention, the antenna group delay measurement system is established, the measurement error of the antenna group delay is obtained through measurement and calculation, and the impedance mismatch correction is carried out on the antenna to be measured according to the measurement error to obtain the correct group delay measurement value, so that the performance of the antenna is accurately described.
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In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings used in the description of the embodiments or the prior art will be briefly described below, and it is obvious that the drawings in the following description are some embodiments of the present invention, and other drawings can be obtained by those skilled in the art without creative efforts.
Fig. 1 is a block diagram of a specific example of an antenna measurement system according to an embodiment of the present invention;
fig. 2 is a flowchart of a specific example of an impedance mismatch correction method for antenna group delay measurement according to an embodiment of the present invention;
fig. 3 is an equivalent network model of a specific example of an impedance mismatch correction method for antenna group delay measurement according to an embodiment of the present invention;
fig. 4 is an equivalent network model of a specific example of an impedance mismatch correction method for antenna group delay measurement according to an embodiment of the present invention;
fig. 5 is an equivalent network model of a specific example of an impedance mismatch correction method for antenna group delay measurement according to an embodiment of the present invention;
fig. 6 is an equivalent network model of a specific example of an impedance mismatch correction method for antenna group delay measurement according to an embodiment of the present invention;
fig. 7 is a schematic block diagram of a specific example of an impedance mismatch correction apparatus for antenna group delay measurement according to an embodiment of the present invention;
fig. 8 is a diagram of a specific example of an electronic device in an embodiment of the present invention.
Detailed Description
The technical solutions of the present invention will be described clearly and completely with reference to the accompanying drawings, and it should be understood that the described embodiments are some, but not all embodiments of the present invention. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
In the description of the present invention, it should be noted that the terms "center", "upper", "lower", "left", "right", "vertical", "horizontal", "inner", "outer", etc., indicate orientations or positional relationships based on the orientations or positional relationships shown in the drawings, and are only for convenience of description and simplicity of description, but do not indicate or imply that the device or element being referred to must have a particular orientation, be constructed and operated in a particular orientation, and thus, should not be construed as limiting the present invention. Furthermore, the terms "first," "second," and "third" are used for descriptive purposes only and are not to be construed as indicating or implying relative importance.
In the description of the present invention, it should be noted that, unless otherwise explicitly specified or limited, the terms "mounted," "connected," and "connected" are to be construed broadly, e.g., as meaning either a fixed connection, a removable connection, or an integral connection; can be mechanically or electrically connected; the two elements may be directly connected or indirectly connected through an intermediate medium, or may be communicated with each other inside the two elements, or may be wirelessly connected or wired connected. The specific meanings of the above terms in the present invention can be understood in specific cases to those skilled in the art.
In addition, the technical features involved in the different embodiments of the present invention described below may be combined with each other as long as they do not conflict with each other.
The embodiment of the invention discloses an impedance mismatch correction method aiming at antenna group delay measurement, and in specific implementation, the impedance mismatch correction method can be applied to an antenna measurement system 101 shown in figure 1, wherein the antenna measurement system 101 comprises: a first antenna measurement subsystem 1011, a second antenna measurement subsystem 1012, and a third antenna measurement subsystem 1013. As shown in fig. 2, the method comprises the steps of:
step 201, respectively obtaining a phase function of each antenna measurement subsystem in the antenna measurement system, where the phase function is calculated by a sum of phase functions of antennas included in the corresponding antenna measurement subsystem, a phase function of the antenna measurement subsystem itself, and a distance phase function.
Exemplarily, the antenna measurement system is composed of an antenna c to be measured and two auxiliary antennas a and b, wherein the working frequency bands of the three antennas a, b and c are the same, and the three antenna measurement subsystems of the antenna measurement system are shown in table 1, so that the auxiliary antenna a and the receiving antenna b form a first antenna measurement subsystem; the auxiliary antenna a and the antenna c to be measured form a second antenna measurement subsystem; the auxiliary antenna b and the antenna c to be measured form a third antenna measurement subsystem. In this embodiment, the selection of the subsystem antenna composition mode, the transmitting end and the receiving end of the antenna measurement system is not limited, and those skilled in the art can determine the selection according to actual needs.
TABLE 1 antenna measurement System
The phase function of each antenna measurement subsystem can be obtained by measuring the phase functions of the receiving end and the transmitting end through a Vector Network Analyzer (VNA), and taking a transmitting end and b receiving end as an example in the first antenna measurement subsystem, the phase function measurement equation is shown in formula (1):
φAB＝φab+φd+φ0 (1)
wherein the content of the first and second substances,
phase functions of a receiving end and a transmitting end measured by the VNA;
is the sum of the phase functions of the a and b antennas;
the phase function of the antenna measurement subsystem can be obtained by directly connecting the receiving end and the transmitting end of the first antenna measurement subsystem through an adapter for measurement (direct measurement);
for the phase function related to the measured distance:
φd＝-kd (2)
wherein d is the distance between the receiving and transmitting antenna aperture surfaces, k is the wave number:
similarly, the phase function of the second antenna measurement subsystem is: phi is aAC＝φac+φd+φ0The phase function of the third antenna measurement subsystem is phiBC＝φbc+φd+φ0。
And step 202, respectively calculating the group delay of each antenna measurement subsystem based on the phase function of each antenna measurement subsystem.
Illustratively, the antenna group delay is defined by:
wherein GD (group delay) is group delay in seconds, f is frequency in Hertz,
is the phase, in degrees.
In practical engineering applications, for the convenience of calculation, the ratio of the phase difference to the frequency difference is often used to replace the derivative to approximate GD, as shown in equation (2):
from equations (1) and (5), the group delay of the first antenna measurement subsystem is:
GDAB＝GDab+GD0+GDd (6)
similarly, the group delay of the second antenna measurement subsystem is: GD (GD) deviceAC＝GDac+GD0+GDdAnd the group delay of the third antenna measurement subsystem is as follows: GD (GD) deviceBC＝GDbc+GD0+GDd。
Wherein, GDAB、GDab、GD0And GDdAre respectively as
And
a corresponding group delay, and:
GDab＝GDa+GDb (7)
wherein, GDaAnd GDbThe group delay of each antenna a, b. According to the formula (6), the sum of the group delays of the antennas a and b in the first antenna measurement subsystem is:
GDab＝GDAB-GD0-GDd (8)
similarly, the group delay of the second antenna measurement subsystem and the third antenna measurement subsystem is:
GDac＝GDAC-GD0-GDd (9)
GDbc＝GDBC-GD0-GDd (10)
step 203, generating a group delay measurement equation set of the whole antenna measurement system based on the group delay of each antenna measurement subsystem:
step 204, obtaining a first phase change value of the receiving end, a second phase change value of the transmitting end and a third phase change value of the antenna measurement subsystem in each antenna measurement subsystem.
Illustratively, the first phase change value of the receiving end is determined according to an equivalent network model as shown in fig. 3, where Γ is shown in fig. 3RAThe marked side represents the receiving antenna, ΓRAIs the receive antenna reflection coefficient; gamma-shapedRPThe marked side represents the receiving end cable, ΓRPThe two are directly connected as the reflection coefficient of the receiving end. The signal output by the receiving antenna is E, the signal received by the receiving end is b + a, and the following relational expression can be obtained by analyzing the network model shown in FIG. 3 by using the microwave S parameter theory:
thus:
the first phase change value can then be found as:
the second phase change value of the transmitting end of the first antenna measurement subsystem is determined according to an equivalent network model shown in FIG. 4, wherein F is shown in FIG. 4GThe marked side represents the signal source, ΓGIs the reflection coefficient of the signal source; gamma-shapedTAThe marked side representing the transmitting antenna, ΓTAIs the reflection coefficient of the transmitting antenna; gamma-shapedGAnd ΓTAThe middle three-port network labeled represents a directional coupler (with output cable), ΓDRepresentative is the port reflection coefficient of the cable to which the directional coupler coupling end is connected.
The signal source is an active device, the real reflection coefficient under the working state is difficult to directly measure, but if the directional coupler and the signal source are regarded as a whole (equivalent signal source), the equivalent source reflection coefficient gamma of the output port (cable port) of the directional coupler can be obtainedTPThereby simplifying the analysis process, the equivalent network model at this time is as shown in FIG. 5, and the gamma can be obtained by using the microwave S parameter theoryTPThe expression is as follows, wherein the S parameter is the S parameter between the ports of the directional coupler,
by analyzing the equivalent network model, the following results can be obtained:
wherein E' is the output signal of the equivalent source, which is calculated from the output signal of the coupling port of the directional coupler, a2+b2Is the signal obtained on the transmitting antenna.
The second phase change value is therefore:
the third phase change value of the first antenna measurement subsystem is measured by directly connecting the transmitting end cable and the receiving end cable by using a coaxial female-female adapter before measurement, an equivalent network model at the adapter is shown as figure 6, and gamma is shown in figure 6TPThe marked side representing the transmitting cable, ΓRPThe marked side represents the receiving end cable and the middle two-port network represents the adapter.
The signal fed in by the transmitting end (equivalent signal source) is E', and the signal received by the receiving end is b2+a2，
The following relation can be obtained by analyzing the network model by using a microwave S parameter theory:
after finishing, the method can be obtained:
because:
a2＝b2ΓRP (25)
thus:
thus:
thus:
the third phase change value is therefore:
step 205, calculating to obtain corresponding first group delay measurement error, second group delay measurement error and third group delay measurement error based on the first phase variation value, the second phase variation value and the third phase variation value.
Illustratively, the first phase change value, the second phase change value, and the third phase change value obtained from the above step 204 are obtained according to equation (5) and equation (16), equation (22), and equation (29):
first group delay measurement error of the first antenna measurement subsystem:
wherein, Δ GDRb、ΔΦRbRespectively, Δ GD in the case where the b antenna is a receiving antennaRAnd Δ ΦR。
Second group delay measurement error of the first antenna measurement subsystem:
wherein, Δ GDTa、ΔΦTaRespectively, Δ GD in the case where the a antenna is a transmitting antennaTAnd Δ ΦT。
Third group delay measurement error of the first antenna measurement subsystem:
similarly, a first group delay measurement error of the second antenna measurement subsystem can be obtained:
second group delay measurement error:
third group delay measurement error:
similarly, a first group delay measurement error of the third antenna measurement subsystem can be obtained:
second group delay measurement error:
third group delay measurement error:
and step 206, obtaining a total mismatch correction factor based on the group delay measurement equation set of the whole antenna measurement system and the first group delay measurement error, the second group delay measurement error and the third group delay measurement error.
Illustratively, the measured phase function in step 201 is again equal to the difference between the measured receive-side phase function and the measured transmit-side phase function, as shown in equation (33):
ΦAB＝ΦR-ΔΦR-[ΦT-ΔΦT]＝φab+φd+[φ0-ΔφThru] (33)
wherein phiR-ΔΦRFor the first phase function, phi, of the receiving end after system mismatch correctionT-ΔΦTFor a second phase function of the transmitting end after system mismatch correction0-ΔφThruAnd (3) arranging the phase function of the first antenna measurement subsystem after mismatch correction to obtain:
ΦR-ΦT-ΔΦR+ΔΦT＝φab+φd+φ0-ΔφThru (34)
substituting equation (34) into equation (5) can obtain the corresponding group delay measurement equation as:
GDAB-ΔGDRb+ΔGDTa＝GDab+GDd+GD0-ΔGDThru (35)
the above equation is the group delay measurement equation of the first antenna measurement subsystem after considering mismatch correction, and is obtained by performing a shift term transformation:
wherein:
GDab′＝GDAB-GDd-GD0 (37)
according to equation (8) it represents the sum of the group delay of the antennas a, b when no mismatch correction is considered.
C1＝-ΔGDRb+ΔGDTa+ΔGDThru (38)
The same can be obtained:
GDac＝GDac′+C2
GDbc＝GDbc′+C3 (39)
wherein:
to GDab、GDacAnd GDbcThe measured result GD of the antenna c to be measured after considering mismatch correction can be obtained by being taken into the formula (11)c：
Wherein:
GDc' is to consider the group delay of the antenna to be measured obtained when mismatch correction is not taken into account.
C is the total mismatch correction factor.
And step 207, performing impedance mismatch correction on the group delay of the antenna to be detected based on the total mismatch correction factor. Illustratively, the measured group delay is numerically corrected based on the calculated total mismatch correction factor.
The invention provides an impedance mismatch correction method aiming at antenna group delay measurement, which is applied to an antenna measurement system and comprises the following steps: respectively acquiring a phase function of each antenna measurement subsystem in the antenna measurement system; respectively calculating the group delay of each antenna measurement subsystem based on the phase function; generating a group delay measurement equation set of the whole antenna measurement system based on the group delay; acquiring a first phase change value of a receiving end, a second phase change value of a transmitting end and a third phase change value of an antenna measurement subsystem in each antenna measurement subsystem; calculating to obtain corresponding first group delay measurement errors, second group delay measurement errors and third group delay measurement errors based on the first phase change value, the second phase change value and the third phase change value; obtaining a total mismatch correction factor based on a group delay measurement equation set of the whole antenna measurement system and a first group delay measurement error, a second group delay measurement error and a third group delay measurement error; and performing impedance mismatch correction on the group delay of the antenna to be detected based on the total mismatch correction factor. In the embodiment of the invention, the antenna group delay measurement system is established, the measurement error of the antenna group delay is obtained through measurement and calculation, and the impedance mismatch correction is carried out on the antenna to be measured according to the measurement error to obtain the correct group delay measurement value, so that the performance of the antenna is accurately described.
As an alternative embodiment of the present invention, the process of changing the first phase value in step 204 includes: respectively acquiring a first signal output by a receiving antenna of each antenna measurement subsystem and a second signal received by the receiving terminal based on an equivalent network model of the receiving terminal of each antenna measurement subsystem; and calculating the first phase change value based on the first signal and the second signal of each antenna measurement subsystem respectively. For example, the details are related to the first phase variation value at the receiving end in step 204, and are not described herein again.
As an alternative embodiment of the present invention, the first phase change value is calculated by the following formula:
where a + b is the second signal received by the receiving end, E is the first signal output by the receiving antenna, and FRAFor receiving antenna reflection coefficient, FRPIs the reflection coefficient of the receiving end;
calculating the first group delay measurement error by:
where Δ f is the frequency difference. For example, the details refer to the content related to the first phase change value at the receiving end in step 204 and the content related to the first group delay measurement error in step 205, which are not described herein again.
As an optional embodiment of the present invention, a directional coupler is disposed between the signal source and the transmitting antenna of the antenna measurement system, and the process of the second phase change value in step 204 includes: respectively acquiring a first signal output by the transmitting end of each antenna measurement subsystem and a received second signal based on the equivalent network model of the transmitting end of each antenna measurement subsystem; wherein the first signal is an output signal of an output end of the directional coupler; and calculating the second phase change value based on the first signal and the second signal of each antenna measurement subsystem respectively. For an exemplary detailed description, see the related contents of the second phase change value at the transmitting end in step 204 above, and are not described herein again.
As an alternative embodiment of the present invention, the second phase change value is calculated by the following formula:
wherein, a2+b2For the received second signal, E' is the first signal output by the transmitting end (equivalent signal source), ΓTPIs the reflection coefficient, gamma, of the transmitting end (equivalent signal source) in the equivalent network modelTAAs reflection coefficient of the transmitting antenna, b3For outputting signals, S, from ports of directional coupler 321、S22、S23、S31And S33The S parameter between the ports of the directional coupler is obtained;
calculating the first group delay measurement error by:
where Δ f is the frequency difference. For example, the details refer to the content related to the second phase change value at the receiving end in step 204 and the content related to the second group delay measurement error in step 205, which are not described herein again.
As an optional implementation manner of the present invention, the process of changing the value of the third phase in step 204 includes: respectively acquiring a first signal output by a transmitting end and a second signal received by a receiving end of each antenna measurement subsystem based on the direct connection measurement equivalent network model of each antenna measurement subsystem; and calculating the third phase change value based on the first signal and the second signal of each antenna measurement subsystem respectively. For an exemplary detailed description, see the related contents of the third phase variation value at the transmitting end in step 204 above, and are not described herein again.
As an alternative embodiment of the present invention, the third phase change value is calculated by the following formula:
wherein, a2+b2For the second signal received by the receiving end, E' is the first signal output by the transmitting end (equivalent signal source), ΓTPIs the reflection coefficient of the transmitting end (equivalent signal source) in the equivalent network model, S12For reverse transmission coefficient, S21Is a forward transmission coefficient, S11For input of reflection coefficient, S22To output the reflection coefficient, ΓRPIs the reflection coefficient of the receiving end;
calculating the first group delay measurement error by:
where Δ f is the frequency difference. For example, the detailed contents refer to the content related to the third phase change value at the receiving end in step 204 and the content related to the third group delay measurement error in step 205, which are not described herein again.
As an alternative embodiment of the present invention, the step 206 includes: respectively obtaining a receiving end first phase function after mismatch correction and a transmitting end second phase function after mismatch correction of each antenna measurement subsystem; obtaining a phase function equation after the mismatch correction of each antenna measurement subsystem based on the first phase function, the second phase function and the third phase function after the mismatch correction; obtaining a group delay measurement equation after mismatch correction of each subsystem based on the phase function equation; and obtaining the total mismatch correction factor based on the group delay measurement equation after the mismatch correction of each measurement subsystem and a simultaneous equation set. For example, the details are related to the above step 206 and will not be described herein again.
As an optional embodiment of the present invention, the antenna operating frequency band of each antenna measurement subsystem in the antenna measurement system is the same. Illustratively, according to the formula (5), each antenna measurement subsystem keeps the same working frequency band, and only the value of the corresponding phase change needs to be considered when calculating the phase change, and the frequency difference does not need to be considered, so that the solution method of the mismatch factor is simplified.
The embodiment of the invention also discloses an antenna group delay impedance mismatch correction device, as shown in fig. 7, the device comprises:
a first obtaining module 701, configured to obtain a phase function of each antenna measurement subsystem in the antenna measurement system, where the phase function is obtained by calculating a sum of phase functions of antennas included in the corresponding antenna measurement subsystem, a phase function of the antenna measurement subsystem, and a distance phase function. Illustratively, the details are referred to as the above step 201, and are not described herein again.
A first calculating module 702, configured to calculate a group delay of each antenna measurement subsystem based on the phase function of each antenna measurement subsystem. Illustratively, the details are given in step 202 above, and are not described herein again.
A measurement equation generating module 703, configured to generate a group delay measurement equation set of the whole antenna measurement system according to the group delay of each antenna measurement subsystem. Illustratively, the details are given in step 203 above, and are not described herein again.
A second obtaining module 704, configured to obtain a first phase change value of a receiving end, a second phase change value of a transmitting end, and a third phase change value of the antenna measurement subsystem in each antenna measurement subsystem; illustratively, the details are referred to as step 204 above, and are not repeated herein.
A second calculating module 705, configured to calculate, based on the first phase change value, the second phase change value, and the third phase change value, a corresponding first group delay measurement error, a corresponding second group delay measurement error, and a corresponding third group delay measurement error. For example, the details are as above step 205, and are not described herein again.
A third calculating module 706, configured to obtain a total mismatch correction factor based on the group delay measurement equation set of the entire antenna measurement system and the first group delay measurement error, the second group delay measurement error, and the third group delay measurement error. For example, the details are given in step 206 above, and are not described here again.
And a correcting module 707, configured to perform impedance mismatch correction on the group delay of the antenna to be measured based on the total mismatch correction factor. Illustratively, the details are given in step 207 above, and are not described herein again.
The invention provides an impedance mismatch correction device for antenna group delay measurement, which is applied to an antenna measurement system and comprises: the first acquisition module is used for respectively acquiring a phase function of each antenna measurement subsystem in the antenna measurement system; the first calculation module is used for respectively calculating the group delay of each antenna measurement subsystem based on the phase function; the measurement equation set generating module is used for generating a group delay measurement equation set of the whole antenna measurement system based on the group delay; the second acquisition module is used for acquiring a first phase change value of a receiving end, a second phase change value of a transmitting end and a third phase change value of the antenna measurement subsystem in each antenna measurement subsystem; the second calculation module is used for calculating and obtaining corresponding first group delay measurement errors, second group delay measurement errors and third group delay measurement errors based on the first phase change value, the second phase change value and the third phase change value; the third calculation module is used for obtaining a total mismatch correction factor based on a group delay measurement equation set of the whole antenna measurement system and the first group delay measurement error, the second group delay measurement error and the third group delay measurement error; and the correction module is used for carrying out impedance mismatch correction on the group delay of the antenna to be detected based on the total mismatch correction factor. In the embodiment of the invention, the antenna group delay measurement system is established, the measurement error of the antenna group delay is obtained through measurement and calculation, and the impedance mismatch correction is carried out on the antenna to be measured according to the measurement error to obtain the correct group delay measurement value, so that the performance of the antenna is accurately described.
An embodiment of the present invention further provides an electronic device, as shown in fig. 8, the electronic device may include a processor 801 and a memory 802, where the processor 801 and the memory 802 may be connected by a bus or in another manner, and fig. 8 takes the connection by the bus as an example.
The memory 802 is a non-transitory computer readable storage medium, and can be used to store non-transitory software programs, non-transitory computer executable programs, and modules, such as program instructions/modules corresponding to the method for correcting impedance mismatch for antenna group delay measurement in the embodiments of the present invention. The processor 801 executes various functional applications and data processing of the processor by running non-transitory software programs, instructions and modules stored in the memory 802, so as to implement an impedance mismatch correction method for antenna group delay measurement in the above method embodiments.
The memory 802 may include a storage program area and a storage data area, wherein the storage program area may store an operating system, an application program required for at least one function; the storage data area may store data created by the processor 801, and the like. Further, the memory 802 may include high-speed random access memory, and may also include non-transitory memory, such as at least one magnetic disk storage device, flash memory device, or other non-transitory solid state storage device. In some embodiments, the memory 802 optionally includes memory located remotely from the processor 801, which may be connected to the processor 801 via a network. Examples of such networks include, but are not limited to, the internet, intranets, local area networks, mobile communication networks, and combinations thereof.
The one or more modules are stored in the memory 802 and when executed by the processor 801 perform an impedance mismatch correction method for antenna group delay measurement as in the embodiments of fig. 1-6.
The details of the electronic device may be understood with reference to the corresponding descriptions and effects in the embodiments shown in fig. 1 to fig. 6, and are not described herein again.
It will be understood by those skilled in the art that all or part of the processes of the methods of the embodiments described above can be implemented by a computer program, which can be stored in a computer-readable storage medium, and when executed, can include the processes of the embodiments of the methods described above. The storage medium may be a magnetic Disk, an optical Disk, a Read-Only Memory (ROM), a Random Access Memory (RAM), a Flash Memory (Flash Memory), a Hard Disk (Hard Disk Drive, abbreviated as HDD), a Solid State Drive (SSD), or the like; the storage medium may also comprise a combination of memories of the kind described above.
Although the embodiments of the present invention have been described in conjunction with the accompanying drawings, those skilled in the art may make various modifications and variations without departing from the spirit and scope of the invention, and such modifications and variations fall within the scope defined by the appended claims.
Claims (12)
1. An impedance mismatch correction method for antenna group delay measurement is applied to an antenna measurement system, and the antenna measurement system comprises: a first antenna measurement subsystem, a second antenna measurement subsystem, and a third antenna measurement subsystem, the method comprising:
respectively obtaining a phase function of each antenna measurement subsystem in the antenna measurement system, wherein the phase function is obtained by calculating the sum of the phase functions of the antennas contained in the corresponding antenna measurement subsystem, the phase function of the antenna measurement subsystem and a distance phase function;
respectively calculating the group delay of each antenna measurement subsystem based on the phase function of each antenna measurement subsystem;
generating a group delay measurement equation set of the antenna measurement system based on the group delay of each antenna measurement subsystem;
acquiring a first phase change value of a receiving end, a second phase change value of a transmitting end and a third phase change value of the antenna measurement subsystem in each antenna measurement subsystem;
calculating to obtain corresponding first group delay measurement errors, second group delay measurement errors and third group delay measurement errors based on the first phase change value, the second phase change value and the third phase change value;
obtaining a total mismatch correction factor based on a group delay measurement equation set of the antenna measurement system and the first group delay measurement error, the second group delay measurement error and the third group delay measurement error;
and performing impedance mismatch correction on the group delay of the antenna to be detected based on the total mismatch correction factor.
2. The method of claim 1, wherein the step of obtaining the first phase change value at the receiving end of each antenna measurement subsystem comprises:
respectively acquiring a first signal output by a receiving antenna of each antenna measurement subsystem and a second signal received by the receiving terminal based on an equivalent network model of the receiving terminal of each antenna measurement subsystem;
and calculating the first phase change value based on the first signal and the second signal of each antenna measurement subsystem respectively.
3. The method of claim 2, wherein the first phase change value is calculated by the formula:
where a + b is the second signal received by the receiving end, E is the first signal output by the receiving antenna, and FRAFor receiving antenna reflection coefficient, FRPIs the reflection coefficient of the receiving end;
calculating the first group delay measurement error by:
where Δ f is the frequency difference.
4. The method according to claim 1, characterized in that a directional coupler is arranged between a signal source and a transmitting antenna of the antenna measuring system,
the process of obtaining the second phase change value of the transmitting terminal in each antenna measurement subsystem includes:
respectively acquiring a first signal output by the transmitting end of each antenna measurement subsystem and a received second signal based on the equivalent network model of the transmitting end of each antenna measurement subsystem; wherein the first signal is an output signal of an output end of the directional coupler;
and calculating the second phase change value based on the first signal and the second signal of each antenna measurement subsystem respectively.
5. The method according to claim 4, wherein the second phase change value is calculated by the following formula:
wherein, a2+b2For the received second signal, E' is the first signal output by the transmitting terminal, ΓTPIs the reflection coefficient of the transmitting end in the equivalent network model, gammaTAFor the reflection coefficient of the transmitting antenna, gammaDPort reflection coefficient of cable connected to coupling end of directional coupler, b3For outputting signals, S, from ports of directional coupler 321、S22、S23、S31And S33The S parameter between the ports of the directional coupler is obtained;
calculating the second group delay measurement error by the following equation:
where Δ f is the frequency difference.
6. The method according to claim 1, wherein the process of obtaining the third phase change value of the antenna measurement subsystem itself comprises:
respectively acquiring a first signal output by a transmitting end and a second signal received by a receiving end of each antenna measurement subsystem based on the direct connection measurement equivalent network model of each antenna measurement subsystem;
and calculating the third phase change value based on the first signal and the second signal of each antenna measurement subsystem respectively.
7. The method according to claim 6, wherein the third phase change value is calculated by the following formula:
wherein, a2+b2For the second signal received by the receiving end, E' is the first signal output by the transmitting end, ΓTPIs the reflection coefficient of the transmitting end in the equivalent network model, S12For reverse transmission coefficient, S21Is a forward transmission coefficient, S11For input of reflection coefficient, S22To output the reflection coefficient, ΓRPIs the reflection coefficient of the receiving end;
calculating the third group delay measurement error by the following equation:
where Δ f is the frequency difference.
8. The method of claim 1, wherein obtaining an overall mismatch correction factor based on the set of group delay measurement equations of the antenna measurement system and the first, second, and third group delay measurement errors comprises:
respectively obtaining a receiving end first phase function after mismatch correction, a transmitting end second phase function after mismatch correction and a self third phase function after mismatch correction of each antenna measurement subsystem;
obtaining a phase function equation after mismatch correction of each antenna measurement subsystem based on the receiving end first phase function after mismatch correction, the transmitting end second phase function and the third phase function of the transmitting end;
obtaining a group delay measurement equation after mismatch correction of each subsystem based on the phase function equation;
and obtaining the total mismatch correction factor based on the group delay measurement equation after the mismatch correction of each measurement subsystem and a simultaneous equation set.
9. The method of claim 1, wherein the antenna operating frequency band of each antenna measurement subsystem in the antenna measurement system is the same.
10. An impedance mismatch correction device for antenna group delay measurement is characterized in that, applied to an antenna measurement system, the device comprises:
the first acquisition module is used for respectively acquiring a phase function of each antenna measurement subsystem in the antenna measurement system, wherein the phase function is obtained by calculating the sum of the phase functions of the antennas contained in the corresponding antenna measurement subsystem, the phase function of the antenna measurement subsystem and a distance phase function;
the first calculation module is used for respectively calculating the group delay of each antenna measurement subsystem based on the phase function of each antenna measurement subsystem;
a measurement equation set generating module, configured to generate a group delay measurement equation set of the antenna measurement system according to the group delay of each antenna measurement subsystem;
the second acquisition module is used for acquiring a first phase change value of a receiving end, a second phase change value of a transmitting end and a third phase change value of the antenna measurement subsystem in each antenna measurement subsystem;
a second calculating module, configured to calculate, based on the first phase variation value, the second phase variation value, and the third phase variation value, a corresponding first group delay measurement error, a corresponding second group delay measurement error, and a corresponding third group delay measurement error;
a third calculation module, configured to obtain a total mismatch correction factor based on a group delay measurement equation set of the antenna measurement system and the first group delay measurement error, the second group delay measurement error, and the third group delay measurement error;
and the correction module is used for carrying out impedance mismatch correction on the group delay of the antenna to be detected based on the total mismatch correction factor.
11. An electronic device, comprising: at least one processor; and a memory communicatively coupled to the at least one processor; wherein the memory stores instructions executable by the at least one processor to cause the at least one processor to perform the steps of a method of impedance mismatch correction for antenna group delay measurement as claimed in any one of claims 1 to 9.
12. A computer-readable storage medium, on which a computer program is stored, which, when being executed by a processor, carries out the steps of a method for impedance mismatch correction for antenna group delay measurements according to any of the claims 1-9.
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Citations (8)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US20050180532A1 (en) * | 2004-01-09 | 2005-08-18 | Chao-Cheng Lee | Apparatus and method for calibrating in-phase and quadrature-phase mismatch |
| US20100054367A1 (en) * | 2008-08-27 | 2010-03-04 | Freescale Semiconductor, Inc. | Receiver i/q group delay mismatch correction |
| CN106850103A (en) * | 2017-02-28 | 2017-06-13 | 北京睿信丰科技有限公司 | The modification method and its device of group delay distortion |
| CN107015065A (en) * | 2017-03-21 | 2017-08-04 | 北京空间飞行器总体设计部 | The far field combined calibrating method of narrow beam antenna electric axis, phase center and time delay |
| CN111245529A (en) * | 2020-04-09 | 2020-06-05 | 成都坤恒顺维科技股份有限公司 | Phase calibration method of digital phased array antenna and phased array antenna |
| WO2020181320A1 (en) * | 2019-03-11 | 2020-09-17 | Kaelus Pty Ltd | Method and system for locating a pim fault in a phased array antenna |
| CN112004263A (en) * | 2019-05-27 | 2020-11-27 | 中兴通讯股份有限公司 | Group delay fluctuation calibration method and device |
| US20210028827A1 (en) * | 2018-03-23 | 2021-01-28 | Nec Corporation | Control device, delay difference adjustment method, and non-transitory computer readable medium for storing delay difference adjustment program |
-
2021
- 2021-08-09 CN CN202110908367.3A patent/CN113708853B/en active Active
Patent Citations (8)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US20050180532A1 (en) * | 2004-01-09 | 2005-08-18 | Chao-Cheng Lee | Apparatus and method for calibrating in-phase and quadrature-phase mismatch |
| US20100054367A1 (en) * | 2008-08-27 | 2010-03-04 | Freescale Semiconductor, Inc. | Receiver i/q group delay mismatch correction |
| CN106850103A (en) * | 2017-02-28 | 2017-06-13 | 北京睿信丰科技有限公司 | The modification method and its device of group delay distortion |
| CN107015065A (en) * | 2017-03-21 | 2017-08-04 | 北京空间飞行器总体设计部 | The far field combined calibrating method of narrow beam antenna electric axis, phase center and time delay |
| US20210028827A1 (en) * | 2018-03-23 | 2021-01-28 | Nec Corporation | Control device, delay difference adjustment method, and non-transitory computer readable medium for storing delay difference adjustment program |
| WO2020181320A1 (en) * | 2019-03-11 | 2020-09-17 | Kaelus Pty Ltd | Method and system for locating a pim fault in a phased array antenna |
| CN112004263A (en) * | 2019-05-27 | 2020-11-27 | 中兴通讯股份有限公司 | Group delay fluctuation calibration method and device |
| CN111245529A (en) * | 2020-04-09 | 2020-06-05 | 成都坤恒顺维科技股份有限公司 | Phase calibration method of digital phased array antenna and phased array antenna |
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