CN109828249A - A kind of calibrating method for synthetic aperture radiometer array - Google Patents
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Abstract
The invention discloses a kind of calibrating methods for synthetic aperture radiometer array, it utilizes AC power source (1), DC power supply (2), control computer (3), display control module (4), synthetic aperture radiometer array (5), wherein, display control module (4) operates in control computer (3).When system works, AC power source (1) is powered to each equipment, after synthetic aperture radiometer array (5) stable working state, then carries out calibration process.After display control module (4) receives the voltage signal of synthetic aperture radiometer array acquisition, calibration process is carried out, and the data after calibration are stored in control computer (3).The present invention has many advantages, such as that equipment is simple, easy to operate, at low cost.
Description
Technical field
The present invention relates to signal calibration technology field, especially a kind of calibration side for synthetic aperture radiometer array
Method.
Background technique
Synthetic aperture radiometer array can carry out two-dimensional imaging to objects ahead and need to target acquisition, but before being imaged
Array is calibrated.The calibrating method of synthetic aperture radiometer array is mainly phase noise injection method and external auxiliary at present
Noise source method.The characteristics of two methods is to need additional hardware supported, and there are at high cost, testing time length, process complexity etc.
Problem.
Summary of the invention
The purpose of the present invention is to provide a kind of calibrating methods for synthetic aperture radiometer array, fixed to solve tradition
It is at high cost in mark method, the problems such as testing time is long, process is complicated.
A kind of calibrating method for synthetic aperture radiometer array proposed by the present invention, wherein by the defeated of AC power source
Outgoing interface is connect with the input interface of DC power supply, control computer, for providing 220V AC power source；By the defeated of DC power supply
Outgoing interface is connect with the input interface of synthetic aperture radiometer array；By the output interface of synthetic aperture radiometer array and control
The input interface of computer connects；On control computer, the display control module receives aperture synthesis radiation for display control module setting
The voltage signal for counting array acquisition carries out calibration process, and the data after calibration is stored in control computer；The calibration
The process of method are as follows: firstly, booting preparation；
Secondly, carrying out range error parameter Estimation；Again, phase error parameter Estimation is carried out；Finally, carrying out range error
And phase error correction.
Wherein, booting work includes: standby and is switched on, and the AC power source is powered to each equipment, boots up pre- thermostabilization
Operation, after synthetic aperture radiometer array stable working state, then carries out testing process, with the aobvious control mould in control computer
Block receives synthetic aperture radiometer array acquisition voltage vector；Synthetic aperture radiometer array elements number is N, and N is oneself greater than 1
So number, the then covariance matrix for the synthetic aperture radiometer array acquisition voltage vector that display control module receives are N × N-dimensional matrix
R, element therein are Rij, i, j=1,2 ..., N；The required ideal covariance matrix obtained after calibration is r, and element therein is
rij, i, j=1,2 ..., N then have according to synthetic aperture radiometer array covariance matrix characteristic
Wherein i, j=1,2 ..., N, gi、gj、The amplitude and phase error of respectively the i-th array element and jth array element,
Calibrate the modified margin of error of requirements of process.
Secondly, carrying out range error parameter Estimation.The elements in a main diagonal of R is handled as follows, if:
U in formulamFor the transition intermediate variable of setting, RmmFor N × N-dimensional covariance matrix R m row m column element, Rm+1,m+1
For N × N-dimensional covariance matrix R m+1 row m+1 column element, m=1,2 ..., N-1.It can be obtained by (1)
R in formulammFor N × N-dimensional covariance matrix R m row m column element, rmmFor N × N-dimensional ideal covariance matrix r m row
M column element, gmFor the range error of m array element, m=1,2 ..., N-1.
There is r according to synthetic aperture radiometer array covariance matrix characteristicii=rjj,i≠j；It can obtain
2lngm-2lngm+1=um (4)
U in formulamFor the transition intermediate variable of setting, gm、gm+1The respectively range error of m array element, m+1 array element, m=1,
2 ..., N-1.
Be converted to matrix form:
G in formula1、g2、…、gNRespectively the 1st, 2 ..., the range error of N array element, u1、u2、…、uN-1For the transition of setting
With intermediate variable, the definition in formula (4).
Using the first array element as reference array element, if g1=1, lng1=0, then it can solve
G in formula1、g2、…、gNRespectively the 1st, 2 ..., the range error of N array element, u1、u2、…、uN-1For the transition of setting
With intermediate variable, the definition in formula (4).
I.e.
G in formula1、g2、…、gNRespectively the 1st, 2 ..., the range error of N array element, R11、R22、…、RNNRespectively N × N-dimensional
1 row, 1 column element of covariance matrix R, 2 row, 2 column element ..., N row N column element.
Again, phase error parameter Estimation is carried out.Following processing is done to the first diagonally opposing corner element of R, if
V in formulanFor the transition intermediate variable of setting, Rn,n+1For N × N-dimensional covariance matrix R n row n+1 column element,
Rn+1,n+2For N × N-dimensional covariance matrix R n+1 row n+2 column element, n=1,2 ..., N-2, by
R in formulan,n+1For N × N-dimensional covariance matrix R n row n+1 column element,For the phase error of the n-th array element,
For the phase error of the (n+1)th array element, n=1,2 ..., N-2.
It can obtain
V in formulanFor the transition intermediate variable of setting,For the n-th array element, n+1 array element, n+2 array element
Phase error, n=1,2 ..., N-2.
It is expressed as matrix form:
In formulaRespectively the 1st, 2 ..., the phase error of N array element, v1、v2、…、vN-2For setting
Transition intermediate variable, the definition in the formula (10).
Equally using the first array element as reference array element, i.e.,It can obtain
In formulaRespectively the 1st, 2 ..., the phase error of N array element, v1、v2、…、vN-2For setting
Transition intermediate variable, the definition in the formula (10).
I.e.
In formulaRespectively the 1st, 2 ..., the phase error of N array element, R1,2、R2,3、…、RN-2, N-1、
RN-1, NRespectively N × N-dimensional covariance matrix R 1 row, 2 column element, 2 row, 3 column element ..., N-2 row N-1 column element, N-1 row N column
Element.
Finally, carrying out amplitude and phase error correction.According to the amplitude and phase information acquired, can obtain (i=1,2 ..., N), Γ in formulaiFor the amplitude-phase error of the i-th array element, | Γi|、giFor the amplitude of the i-th array element
Error,For the phase error of the i-th array element.Thus amplitude phase error matrix is constructed:
Γ in formulaiFor the amplitude-phase error of the i-th array element, Γ is the overall error square of whole array element amplitude-phase error compositions
Battle array.
Error co-variance matrix R is modified to ideal value accordinglyCalibration process is completed,
Γ is the overall error matrix of whole array element amplitude-phase error compositions in formula, and R is the association side comprising error measured
Poor matrix,For ideal covariance matrix.
Synthetic aperture radiometer array calibrating method proposed by the present invention can simplify calibration stream without additional calibration hardware
Journey improves efficiency, reduces cost, realizes low cost, efficient demand.
Detailed description of the invention
Fig. 1 is schematic diagram of the present invention for the robot scaling equipment of synthetic aperture radiometer array.
1. 2. DC power supply 3. of AC power source controls 4. display control module of computer, 5. synthetic aperture radiometer array
Specific embodiment
Embodiments of the present invention are described in detail below in conjunction with attached drawing.
The purpose of the present invention is to provide a kind of calibrating methods for synthetic aperture radiometer array, fixed to solve tradition
It is at high cost in mark method, the problems such as testing time is long, process is complicated.
Scaling system includes AC power source 1, DC power supply 2, control computer 3, display control module 4, synthetic aperture radiometer
Array 5, wherein display control module 4 operates on control computer 3.
The output interface of AC power source 1 is connect with the input interface of DC power supply 2, control computer 3, provides 220V exchange
Power supply；The output interface of DC power supply 2 is connect with the input interface of synthetic aperture radiometer array 5；Synthetic aperture radiometer battle array
The output interface of column 5 is connect with the input interface of control computer 3.
4 function of display control module are as follows: the voltage signal that synthetic aperture radiometer array 5 acquires is received, calibration process is carried out, and
Data after calibration are stored in control computer 3.
Calibrate detailed process are as follows:
Firstly, preparation.Connection equipment is simultaneously switched on, and the AC power source is powered to each equipment, and it is steady to boot up preheating
Fixed operation, after synthetic aperture radiometer array stable working state, then carries out testing process, with the aobvious control in control computer
Module receives synthetic aperture radiometer array acquisition voltage vector；Synthetic aperture radiometer array elements number is N, and N is greater than 1
Natural number, the then covariance matrix for the synthetic aperture radiometer array acquisition voltage vector that display control module receives are N × N-dimensional square
Battle array R, element therein are Rij, i, j=1,2 ..., N；The required ideal covariance matrix obtained after calibration is r, element therein
For rij, i, j=1,2 ..., N then have according to synthetic aperture radiometer array covariance matrix characteristic
Wherein i, j=1,2 ..., N, gi、gj、The amplitude and phase error of respectively the i-th array element and jth array element,
Calibrate the modified margin of error of requirements of process.
Secondly, carrying out range error parameter Estimation.The elements in a main diagonal of R is handled as follows, if:
U in formulamFor the transition intermediate variable of setting, RmmFor N × N-dimensional covariance matrix R m row m column element, Rm+1,m+1
For N × N-dimensional covariance matrix R m+1 row m+1 column element, m=1,2 ..., N-1.It can be obtained by (1)
R in formulammFor N × N-dimensional covariance matrix R m row m column element, rmmFor N × N-dimensional ideal covariance matrix r m row
M column element, gmFor the range error of m array element, m=1,2 ..., N-1.
There is r according to synthetic aperture radiometer array covariance matrix characteristicii=rjj, i ≠ j.It can obtain
2lngm-2lngm+1=um (4)
U in formulamFor the transition intermediate variable of setting, gm、gm+1The respectively range error of m array element, m+1 array element, m=1,
2,…,N-1。
Be converted to matrix form:
G in formula1、g2、…、gNRespectively the 1st, 2 ..., the range error of N array element, u1、u2、…、uN-1For the transition of setting
With intermediate variable, the definition in formula (4).
Using the first array element as reference array element, if g1=1, lng1=0, then it can solve
G in formula1、g2、…、gNRespectively the 1st, 2 ..., the range error of N array element, u1、u2、…、uN-1For the transition of setting
With intermediate variable, the definition in formula (4).
I.e.
G in formula1、g2、…、gNRespectively the 1st, 2 ..., the range error of N array element, R11、R22、…、RNNRespectively N × N-dimensional
1 row, 1 column element of covariance matrix R, 2 row, 2 column element ..., N row N column element.
Again, phase error parameter Estimation is carried out.Following processing is done to the first diagonally opposing corner element of R, if
V in formulanFor the transition intermediate variable of setting, Rn,n+1For N × N-dimensional covariance matrix R n row n+1 column element,
RN+1, n+2For N × N-dimensional covariance matrix R n+1 row n+2 column element, n=1,2 ..., N-2, by
R in formulaN, n+1For N × N-dimensional covariance matrix R n row n+1 column element,For the phase error of the n-th array element,
For the phase error of the (n+1)th array element, n=1,2 ..., N-2.
It can obtain
V in formulanFor the transition intermediate variable of setting,For the n-th array element, n+1 array element, n+2 array element
Phase error, n=1,2 ..., N-2.
It is expressed as matrix form:
In formulaRespectively the 1st, 2 ..., the phase error of N array element, v1、v2、…、vN-2For setting
Transition intermediate variable, the definition in the formula (10).
Equally using the first array element as reference array element, i.e.,It can obtain
In formulaRespectively the 1st, 2 ..., the phase error of N array element, v1、v2、…、vN-2For setting
Transition intermediate variable, the definition in the formula (10).
I.e.
In formulaRespectively the 1st, 2 ..., the phase error of N array element, R1,2、R2,3、…、RN-2, N-1、
RN-1, NRespectively N × N-dimensional covariance matrix R 1 row, 2 column element, 2 row, 3 column element ..., N-2 row N-1 column element, N-1 row N column
Element.
Finally, carrying out amplitude and phase error correction.According to the amplitude and phase information acquired, can obtain (i=1,2 ..., N), Γ in formulaiFor the amplitude-phase error of the i-th array element, | Γi|、giFor the amplitude of the i-th array element
Error,For the phase error of the i-th array element.Thus amplitude phase error matrix is constructed:
Γ in formulaiFor the amplitude-phase error of the i-th array element, Γ is the overall error square of whole array element amplitude-phase error compositions
Battle array.
Error co-variance matrix R is modified to ideal value accordinglyCalibration process is completed,
Γ is the overall error matrix of whole array element amplitude-phase error compositions in formula, and R is the association side comprising error measured
Poor matrix,For ideal covariance matrix.
Synthetic aperture radiometer array calibrating method proposed by the present invention can simplify calibration stream without additional calibration hardware
Journey improves efficiency, reduces cost, realizes low cost, efficient demand.
Claims (5)
1. a kind of calibrating method for synthetic aperture radiometer array, which is characterized in that
The output interface of AC power source (1) is connect with the input interface of DC power supply (2), control computer (3), for providing
220V AC power source；The output interface of DC power supply (2) is connect with the input interface of synthetic aperture radiometer array (5)；It will
The output interface of synthetic aperture radiometer array (5) is connect with the input interface of control computer (3)；Display control module (4) setting
In control computer (3), the display control module (4) receives the voltage signal of synthetic aperture radiometer array (5) acquisition, carries out
Process is calibrated, and the data after calibration are stored in control computer (3)；
The process of the calibrating method are as follows:
Firstly, booting preparation；
Secondly, carrying out range error parameter Estimation；
Again, phase error parameter Estimation is carried out；
Finally, carrying out range error and phase error correction.
2. calibrating method according to claim 1, which is characterized in that the booting preparation includes:
Connection equipment is simultaneously switched on, and the AC power source is powered to each equipment, preheating stable operation is booted up, to aperture synthesis spoke
After penetrating meter array stable working state, then testing process is carried out, receives aperture synthesis spoke with the display control module in control computer
Penetrate meter array acquisition voltage vector；Synthetic aperture radiometer array elements number is N, and N is the natural number greater than 1, then display control module
The covariance matrix of the synthetic aperture radiometer array acquisition voltage vector received is N × N-dimensional matrix R, and element therein is
Rij, i, j=1,2 ..., N；The required ideal covariance matrix obtained after calibration is r, and element therein is rij, i, j=1,
2 ..., N then have according to synthetic aperture radiometer array covariance matrix characteristic
Wherein i, j=1,2 ..., N, gi、The amplitude and phase error of respectively the i-th array element and jth array element, i.e., it is fixed
Mark the modified margin of error of requirements of process.
3. calibrating method according to claim 2, which is characterized in that carrying out range error parameter Estimation includes:
The elements in a main diagonal of R is handled as follows, if:
U in formulamFor the transition intermediate variable of setting, RmmFor N × N-dimensional covariance matrix R m row m column element, Rm+1,m+1For N ×
The m+1 row m+1 column element of N-dimensional covariance matrix R, m=1,2 ..., N-1；It can be obtained by (1)
R in formulammFor N × N-dimensional covariance matrix R m row m column element, rmmMember is arranged for N × N-dimensional ideal covariance matrix r m row m
Element, gmFor the range error of m array element, m=1,2 ..., N-1；
There is r according to synthetic aperture radiometer array covariance matrix characteristicii=rjj, i ≠ j can obtain
2lngm-2lngm+1=um (4)
U in formulamFor the transition intermediate variable of setting, gm、gm+1The respectively range error of m array element, m+1 array element, m=1,
2,…,N-1。
Be converted to matrix form:
G in formula1、g2、…、gNRespectively the 1st, 2 ..., the range error of N array element, u1、u2、…、uN-1For in the transition use of setting
Between variable, the definition in the formula (4)；
Using the first array element as reference array element, if g1=1, lng1=0, then it can solve
G in formula1、g2、…、gNRespectively the 1st, 2 ..., the range error of N array element, u1、u2、…、uN-1For in the transition use of setting
Between variable, the definition in the formula (4)；
G in formula1、g2、…、gNRespectively the 1st, 2 ..., the range error of N array element, R11、R22、…、RNNRespectively N × N-dimensional association side
1 row, 1 column element of poor matrix R, 2 row, 2 column element ..., N row N column element.
4. calibrating method according to claim 3, which is characterized in that carrying out phase error parameter Estimation includes, to the of R
One diagonally opposing corner element does following processing, if
V in formulanFor the transition intermediate variable of setting, Rn,n+1For N × N-dimensional covariance matrix R n row n+1 column element, Rn+1,n+2
For N × N-dimensional covariance matrix R n+1 row n+2 column element, n=1,2 ..., N-2, by
R in formulaN, n+1For N × N-dimensional covariance matrix R n row n+1 column element,For the phase error of the n-th array element,It is
The phase error of n+1 array element, n=1,2 ..., N-2；
It obtains
V in formulanFor the transition intermediate variable of setting,For the n-th array element, n+1 array element, the phase of n+2 array element
Position error, n=1,2 ..., N-2；
It is expressed as matrix form:
In formulaRespectively the 1st, 2 ..., the phase error of N array element, v1、v2、…、vN-2For the transition of setting
With intermediate variable, the definition in formula (10)；
Equally using the first array element as reference array element, i.e.,It obtains
In formulaRespectively the 1st, 2 ..., the phase error of N array element, v1、v2、…、vN-2For the transition of setting
With intermediate variable, the definition in formula (10)；
I.e.
In formulaRespectively the 1st, 2 ..., the phase error of N array element, R1,2、R2,3、…、RN-2, N-1、RN-1, N
Respectively N × N-dimensional covariance matrix R 1 row, 2 column element, 2 row, 3 column element ..., N-2 row N-1 column element, N-1 row N column member
Element.
5. calibrating method according to claim 4, which is characterized in that carry out range error and phase error correction includes:
According to the amplitude and phase information acquired, can obtainI=1,2 ..., N, in formula
ΓiFor the amplitude-phase error of the i-th array element, | Γi|、giFor the range error of the i-th array element,For the phase error of the i-th array element；
Thus amplitude phase error matrix is constructed:
Γ in formulaiFor the amplitude-phase error of the i-th array element, Γ is the overall error matrix of whole array element amplitude-phase error compositions；
Error co-variance matrix R is modified to ideal value accordinglyCalibration process is completed,
Γ is the overall error matrix of whole array element amplitude-phase error compositions in formula, and R is the covariance square comprising error measured
Battle array,For ideal covariance matrix.
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Application publication date: 20190531 |