CN113189552A - Target complete polarization scattering matrix error model construction method under rain and snow environment - Google Patents
Target complete polarization scattering matrix error model construction method under rain and snow environment Download PDFInfo
- Publication number
- CN113189552A CN113189552A CN202110409782.4A CN202110409782A CN113189552A CN 113189552 A CN113189552 A CN 113189552A CN 202110409782 A CN202110409782 A CN 202110409782A CN 113189552 A CN113189552 A CN 113189552A
- Authority
- CN
- China
- Prior art keywords
- matrix
- rain
- polarization
- snow environment
- scattering
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Pending
Links
- 239000011159 matrix material Substances 0.000 title claims abstract description 153
- 230000010287 polarization Effects 0.000 title claims abstract description 128
- 238000010276 construction Methods 0.000 title claims abstract description 8
- 230000005540 biological transmission Effects 0.000 claims abstract description 70
- 238000005259 measurement Methods 0.000 claims abstract description 49
- 238000000034 method Methods 0.000 claims abstract description 23
- 230000000694 effects Effects 0.000 claims abstract description 15
- 230000007613 environmental effect Effects 0.000 claims abstract description 11
- 239000002245 particle Substances 0.000 claims description 16
- 238000004590 computer program Methods 0.000 claims description 12
- 239000000654 additive Substances 0.000 claims description 3
- 230000000996 additive effect Effects 0.000 claims description 3
- 239000000126 substance Substances 0.000 claims 3
- 230000008569 process Effects 0.000 description 5
- 230000004044 response Effects 0.000 description 4
- 238000006880 cross-coupling reaction Methods 0.000 description 2
- 238000010586 diagram Methods 0.000 description 2
- 238000011160 research Methods 0.000 description 2
- 230000008859 change Effects 0.000 description 1
- 230000001427 coherent effect Effects 0.000 description 1
- 230000008878 coupling Effects 0.000 description 1
- 238000010168 coupling process Methods 0.000 description 1
- 238000005859 coupling reaction Methods 0.000 description 1
- 230000005672 electromagnetic field Effects 0.000 description 1
- 238000000691 measurement method Methods 0.000 description 1
- 230000007246 mechanism Effects 0.000 description 1
- 238000012986 modification Methods 0.000 description 1
- 230000004048 modification Effects 0.000 description 1
- 230000009467 reduction Effects 0.000 description 1
- 238000006467 substitution reaction Methods 0.000 description 1
Images
Classifications
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01S—RADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
- G01S7/00—Details of systems according to groups G01S13/00, G01S15/00, G01S17/00
- G01S7/02—Details of systems according to groups G01S13/00, G01S15/00, G01S17/00 of systems according to group G01S13/00
- G01S7/40—Means for monitoring or calibrating
Landscapes
- Engineering & Computer Science (AREA)
- Computer Networks & Wireless Communication (AREA)
- Physics & Mathematics (AREA)
- General Physics & Mathematics (AREA)
- Radar, Positioning & Navigation (AREA)
- Remote Sensing (AREA)
- Radar Systems Or Details Thereof (AREA)
Abstract
The invention relates to a target complete polarization scattering matrix error model construction method under a rain and snow environment, computer equipment and a computer readable storage medium, wherein the method comprises the following steps: carrying out polarization effect analysis on the rain and snow environment to determine the reflection symmetry of the meteorological target; constructing a transmission matrix in a rain and snow environment; setting a target, and determining the influence of system errors introduced by a measurement system; on the basis of system error influence, the influence of environmental errors introduced by a rain and snow environment is increased by combining a transmission matrix, and a target complete polarization scattering matrix error model under the rain and snow environment is constructed. According to the invention, a measurement error model of the target complete polarization scattering matrix is constructed through error analysis of a rain and snow environment and a measurement system.
Description
Technical Field
The invention relates to the technical field of target measurement, in particular to a target complete polarization scattering matrix error model construction method, computer equipment and a computer readable storage medium in a rain and snow environment.
Background
In the measurement of the target complete polarization scattering matrix, in order to obtain accurate data, error calibration is performed on the data detected by the (complete polarization) radar measurement system, and the influence of the error is very necessary to be removed. The target measurement errors include various types, such as laboratory background errors, multipath effects and the like, and when the target measurement errors are measured outdoors, the error influence caused by a typical atmospheric environment, such as a rain and snow environment, cannot be ignored, so that how to construct an error model of the target full-polarization scattering matrix in the rain and snow environment is very important for subsequently improving the measurement accuracy of the scattering matrix.
Disclosure of Invention
The invention aims to provide a method for constructing an error model of a target complete polarization scattering matrix in an atmospheric environment, so as to analyze the influence of errors caused by a rain and snow environment on measurement of the target complete polarization scattering matrix and improve the radar measurement precision.
In order to achieve the purpose, the invention provides a method for constructing an error model of a target complete polarization scattering matrix in a rain and snow environment, which comprises the following steps:
s1, carrying out polarization effect analysis on the rain and snow environment, and determining the reflection symmetry of the meteorological target;
s2, constructing a transmission matrix in a rain and snow environment;
s3, setting a target, and determining the influence of system errors introduced by the measurement system;
s4, on the basis of system error influence, the influence of environmental errors introduced by a rain and snow environment is increased by combining a transmission matrix, and a target full polarization scattering matrix error model under the rain and snow environment is constructed.
Preferably, in step S1, when analyzing the polarization effect of the rain and snow environment, it is assumed that the medium for transmitting electromagnetic waves in the rain and snow environment is composed of particles, each of the particles is an aspheric body and has a specific tilt direction, and an anisotropic medium is composed of the particles;
and when the reflection symmetry of the meteorological target is determined, determining a reflection symmetry plane of the medium according to the average inclination angle of each particle in the medium and the radar sight line, and further establishing a coordinate system according to the reflection symmetry plane to enable the reflection symmetry plane to be an XZ plane.
Preferably, in step S2, when constructing the transmission matrix in the rain and snow environment, constructing a scattering matrix, where P (+ -) represents the transmission matrix corresponding to the scattering matrix in the circular polarization base, and an expression of P (+ -) is:
γ＝(γ1+γ2)/2,Δγ＝γ2-γ1
wherein γ represents a transmission constant, γ1Representing the transmission constant, gamma, corresponding to the first characteristic polarization2Denotes the transmission constant corresponding to the second characteristic polarization, L denotes the length of the region of the medium, τ and τ2All represent complex constants;
further, the expression of the scattering matrix under the circularly polarized base is obtained as follows:
wherein S is++Representing the scattering coefficient, S, when both transmission and reception are right-hand circular polarization+-Representing the scattering coefficient, S, when transmitting left-hand circular polarization and receiving right-hand circular polarization--Represents the scattering coefficient, S, when both transmit and receive are left-handed circular polarizationscRepresents the scattering matrix, P, under ideal conditionst(+ -) is the transpose of P (+ -);
the medium in the rain and snow environment is symmetrical about an XZ plane, and a transmission matrix expression corresponding to a scattering matrix is rewritten into the following expression according to a linear polarization base alpha parallel to a medium reflection symmetrical plane and a linear polarization base beta vertical to the medium reflection symmetrical plane:
wherein, PSAnd (alpha beta) represents a transmission matrix corresponding to the scattering matrix under the linear polarization base alpha and the linear polarization base beta.
Preferably, in step S3, when determining the influence of the system error introduced by the measurement system itself, the measurement matrix M is expressed as:
M＝RST+I
wherein, I is an additive error matrix, T is a multiplicative error matrix of a transmitting path, R is a multiplicative error matrix of a receiving path, and S represents a real scattering matrix of a target.
Preferably, in step S4, when the influence of environmental errors introduced by the rain and snow environment is increased, for the medium region in the rain and snow environment, when the transmission effect is considered, the scattering matrix expression corresponding to the target and the medium as a whole is:
wherein, PS t*(α β) is PSConjugate transpose of (alpha beta), S (alpha beta) represents a real scattering matrix of the target under the linear polarization base alpha and the linear polarization base beta, SααRepresenting the scattering coefficient, S, at which the linear polarization basis alpha is transmitted and receivedαβRepresenting the scattering coefficient, S, at which the transmitting linear polarization radical beta receives the linear polarization radical alphaββRepresenting the scattering coefficient when the linear polarization base beta is transmitted and received;
the measurement matrix M is obtained with the expression:
M＝RPS(αβ)S(αβ)PS t*(αβ)T+I。
preferably, for a single-station transmitting and receiving radar measurement system, the multiplicative error matrix T of the transmitting path and the multiplicative error matrix R of the receiving path are conjugate transposes, and the expression of the measurement matrix M is:
M＝RPS(αβ)S(αβ)PS t*(αβ)Rt*+I
wherein R ist*Is the conjugate transpose of R.
Preferably, in step S2, when constructing the transmission matrix in a rain and snow environment, constructing a covariance matrix, where the medium in the rain and snow environment is symmetric about the XZ plane, and an expression of the covariance matrix is according to a linear polarization basis α parallel to the reflection symmetry plane of the medium and a linear polarization basis β perpendicular to the reflection symmetry plane of the medium:
wherein S isααRepresenting the scattering coefficient, S, at which the linear polarization basis alpha is transmitted and receivedαβRepresenting the scattering coefficient, S, at which the transmitting linear polarization radical beta receives the linear polarization radical alphaββRepresenting the scattering coefficient, S, at which the transmitting linear polarization base beta receives the linear polarization base beta* ββIs SββConjugation of (A), S* ααIs SααConjugation of (1);
the transmission matrix expression corresponding to the covariance matrix is:
γ＝(γ1+γ2)/2,Δγ＝γ2-γ1
wherein, PC(α β) represents a transmission matrix corresponding to the covariance matrix under the linear polarization basis α and the linear polarization basis β, γ represents a transmission constant, γ1Representing the transmission constant, gamma, corresponding to the first characteristic polarization2And L represents the length of the dielectric region.
Preferably, in step S4, when the influence of environmental errors introduced by a rain and snow environment is increased, for a medium region in the rain and snow environment, when the transmission effect is considered, the covariance matrix expression corresponding to the target and the medium as a whole is:
wherein, PC t*(α β) is PCThe conjugate transpose of (α β), C (α β) represents the target true covariance matrix under the linear polarization basis α and the linear polarization basis β.
The invention also provides computer equipment which comprises a memory and a processor, wherein the memory stores a computer program, and the processor realizes the steps of the target complete polarization scattering matrix error model construction method under the rain and snow environment when executing the computer program.
The invention also provides a computer readable storage medium, on which a computer program is stored, which when executed by a processor implements the steps of the method for constructing the target complete polarization scattering matrix error model in the rain and snow environment.
The technical scheme of the invention has the following advantages: the invention provides a target complete polarization scattering matrix error model construction method under a rain and snow environment, computer equipment and a computer readable storage medium.
Drawings
FIG. 1 is a schematic step diagram of a target complete polarization scattering matrix error model construction method in a rain and snow environment in an embodiment of the present invention;
FIG. 2 is a schematic representation of a transmission medium model in an embodiment of the invention;
FIG. 3 is a schematic diagram of electromagnetic scatterometry field transmission in an embodiment of the present invention.
Detailed Description
In order to make the objects, technical solutions and advantages of the embodiments of the present invention clearer, the technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are some, but not all, embodiments of the present invention. All other embodiments, which can be obtained by a person skilled in the art without any inventive step based on the embodiments of the present invention, are within the scope of the present invention.
As shown in fig. 1, a method for constructing an error model of a target complete polarization scattering matrix in a rain and snow environment according to an embodiment of the present invention includes the following steps:
s1, carrying out polarization effect analysis on the rain and snow environment, and determining the reflection symmetry of the meteorological target;
s2, constructing a transmission matrix in a rain and snow environment;
s3, setting a target, and determining the influence of system errors introduced by the measurement system;
s4, on the basis of the system error influence determined in the step S3, the transmission matrix constructed in the step S2 is combined, the environmental error influence introduced by the rain and snow environment is increased, and a target full-polarization scattering matrix error model under the rain and snow environment is constructed.
The particles in the atmospheric environments such as rain, snow, cloud, fog and ionized layer are typical random media, have a certain statistical rule, and have obvious difference with different climatic regions and regions. The invention analyzes and researches the measurement error mechanism of the full-polarization radar measurement system, analyzes the influence of non-system factors (such as atmospheric environment) on the measurement precision of the full-polarization radar, deduces the relation between the polarization change of radar waves and transmission media under the transmission condition of a medium in a rain and snow environment, and establishes a transmission matrix of two orthogonal polarization electromagnetic waves in a meteorological medium according to an electromagnetic wave transmission medium model.
In the measurement process, due to the influences of factors such as temperature drift of equipment devices, nonlinearity of a measurement system, I-Q demodulation imbalance, laboratory background, target placement errors, multipath effects and the like, measurement errors can be introduced into the measurement result of the radar to cause accuracy reduction, so that a measurement error analysis model needs to be established by combining actual conditions and a measurement method to evaluate the influence of each error factor on the measurement accuracy. According to the invention, on the basis of influence of system errors, a transmission matrix is combined, various error factors are integrated, and finally, a target complete polarization scattering matrix error model in a rain and snow environment is constructed, so that the measurement accuracy of the scattering matrix can be effectively improved.
The fully polarized radar measurement system generally does not consider the influence of a transmission path, the characteristics of rain and snow are similar, a medium model for transmitting electromagnetic waves in a rain and snow environment is shown in fig. 2, and L represents the length of a medium area, namely the transmission distance.
Preferably, in step S1, when analyzing the polarization effect of the rain and snow environment, it is assumed that the medium for transmitting electromagnetic waves in the rain and snow environment is composed of (a large number of) particles, each of which has a shape different from a spherical shape, that is, the particles are non-spherical, and have a specific tilt direction, and the particles constitute an anisotropic medium. Therefore, electromagnetic waves are affected when they are transmitted through a medium in a rainy or snowy environment. For a medium region, because the scattering fields of the individual particles (e.g., raindrops) that make up it do not have a coherent phase relationship, it is necessary to study its electromagnetic scattering properties statistically.
Further, in step S1, when the reflection symmetry of the meteorological target is determined, the reflection symmetry plane of the medium is determined according to the average tilt angle of each particle in the medium and the radar sight line, and a coordinate system is established according to the reflection symmetry plane, so that the reflection symmetry plane is an XZ plane.
The reflection symmetry is defined as the influence of the radar input at any point p on the target, and there is a corresponding point p 'that can produce the same influence, and the two points p and p' are symmetrical about the symmetry plane (i.e. the reflection symmetry plane). The plane of reflection symmetry is a plane containing the direction of incidence of the radar (i.e. the line of sight of the radar). The medium for transmitting electromagnetic waves in a rain and snow environment is composed of a large number of particles, is an anisotropic medium, and the size of the particles and the distribution of the tilt angle are independent of each other, and the tilt angle and the particles are symmetrically distributed about the axis of symmetry. The plane of reflection symmetry is determined by both the average tilt angle (i.e., the average of the tilt angles of the individual particles) and the radar line of sight. A coordinate system is established through the reflection symmetric surface, the reflection symmetric surface is made to be an XZ plane, and the transmission matrix is favorably rewritten to a linear polarization base in the follow-up process.
The scattering matrix of the target is solved in two ways, namely, directly solving the scattering matrix, and firstly solving a covariance matrix related to the scattering matrix, and then solving the scattering matrix of the target through the covariance matrix.
Preferably, in step S2, when constructing the transmission matrix in the rain and snow environment, constructing a scattering matrix for the target, making P (+ -) represent the transmission matrix corresponding to the scattering matrix S (+ -) in the circular polarization base, where the expression of P (+ -) is:
γ＝(γ1+γ2)/2,Δγ＝γ2-γ1
wherein γ represents a transmission constant, γ1Representing the transmission constant, gamma, corresponding to the first characteristic polarization2Denotes the transmission constant corresponding to the second characteristic polarization, L denotes the length of the region of the medium, τ and τ2All represent complex constants;
and obtaining an expression of a scattering matrix S (+ -) under the circular polarization base as follows:
wherein "+" - "represents right hand circular polarization and left hand circular polarization, respectively, S++Representing the scattering coefficient, S, when both transmission and reception are right-hand circular polarization+-Representing the scattering coefficient, S, when transmitting left-hand circular polarization and receiving right-hand circular polarization--Represents the scattering coefficient, S, when both transmit and receive are left-handed circular polarizationscRepresents the scattering matrix, P, under ideal conditionst(+ -) is the transpose of P (+ -).
When the medium in a rain and snow environment is symmetrical about the XZ plane, the characteristic polarizations of the medium become linear, and these linear polarizations are parallel and perpendicular to the XZ plane, so that there are:
Re(τ2)＝Im(τ2)＝Im(τ)＝0
re (. cndot.) is the real part of the complex number, Im (. cndot.) is the imaginary part of the complex number, and Re (τ) is the angle between the plane of symmetry of the reflection and the vertical.
Under this condition, P (+ -) can be written as a simple form under the α β group (parallel and perpendicular to the plane of symmetry of the medium). And according to the linear polarization base alpha parallel to the medium reflection symmetry plane and the linear polarization base beta vertical to the medium reflection symmetry plane, rewriting the transmission matrix expression corresponding to the scattering matrix as follows:
wherein, PSAnd (alpha beta) represents a transmission matrix corresponding to the scattering matrix under the linear polarization base alpha (parallel to the reflection symmetry plane of the medium) and the linear polarization base beta (perpendicular to the reflection symmetry plane of the medium), gamma represents a transmission constant, and L represents the length of the medium region.
In the measurement process, due to the non-ideality of the radar measurement system, errors can be caused when electromagnetic waves pass through a transmitting channel and a receiving channel. Description of the Transmission of the electromagnetic scatterometry field referring to FIG. 3, the System emission field E1Obtaining the antenna transmission field E via the transmitting antenna (i.e. transmission path)2Transmitted to obtain a transmission field E3The reflected field E is obtained by the target reflection4Obtaining an antenna reception field E by transmission5The system reception field E is obtained by a reception antenna (i.e. reception path)6。
When carrying out the complete polarization scattering measurement of the laboratory, in order to research the influence of factors such as the background environment of the laboratory and the performance of the measurement system and reflect the response characteristics of the complete polarization measurement system, a measurement error model is constructed based on a model which is provided by Nelson and used for describing the transmission process of an electromagnetic scattering measurement field, and the measurement error is corrected in a targeted manner. The system transmits a field E1And system receiving field E6The relationship between them is:
E6＝ME1
preferably, in step S3, when determining the influence of the system error introduced by the measurement system itself, the measurement matrix M is expressed as:
M＝RST+I
wherein, I is an additive error matrix including feed source coupling, target support reflection, etc., T is a multiplicative error matrix of a transmitting path including frequency response errors and cross-coupling errors, R is a multiplicative error matrix of a receiving path including frequency response errors and cross-coupling errors, and S represents electromagnetic field changes caused by the target, i.e., a true scattering matrix of the target. The transmission characteristics of each link and the scattering characteristics of the target form the measured system response, namely the measurement matrix M of the system.
Preferably, in step S4, when the influence of environmental errors introduced by the rain and snow environment is increased, for the medium region in the rain and snow environment, when the transmission effect is considered, the scattering matrix expression corresponding to the target and the medium as a whole is:
wherein, PS t*(α β) is PSThe conjugate transpose of (alpha beta), S (alpha beta) represents the scattering matrix under the linear polarization base alpha (parallel to the reflection symmetry plane of the medium) and the linear polarization base beta (perpendicular to the reflection symmetry plane of the medium), SααRepresenting the scattering coefficient, S, at which the linear polarization basis alpha is transmitted and receivedαβRepresenting the scattering coefficient, S, at which the transmitting linear polarization radical beta receives the linear polarization radical alphaββRepresenting the scattering coefficient when the linear polarization base beta is transmitted and received;
the measurement matrix M is obtained with the expression:
M＝RPS(αβ)S(αβ)PS t*(αβ)T+I。
wherein, PS(alpha beta) is a rain area influence matrix to be eliminated, and P can be inverted according to the prior matrix information of the targetS(α β) is used.
Further, for a single-station transceiving radar measurement system, a multiplicative error matrix T of a transmitting path and a multiplicative error matrix R of a receiving path are mutually conjugate transposes, and after an environmental error is introduced, the expression of a measurement matrix M is as follows:
M＝RPS(αβ)S(αβ)PS t*(αβ)Rt*+I
wherein R ist*Is the conjugate transpose of R.
In other preferred embodiments of the present invention, the covariance matrix may be solved first, and then the scattering matrix may be solved by the covariance matrix. The relationship between the covariance matrix C and the scattering matrix S is:
where subscripts a and b represent arbitrary orthogonal polarization bases, the first subscript represents transmit polarization, the second receive polarization, and the upper horizontal line represents time average.
Preferably, in step S2, when the transmission matrix in the rain and snow environment is constructed, the covariance matrix is constructed. When the medium in the rain and snow environment is symmetrical about an XZ plane, four items of the covariance matrix of the target are zero, and according to a linear polarization base alpha parallel to the reflection symmetry plane of the medium and a linear polarization base beta perpendicular to the reflection symmetry plane of the medium, the expression of the covariance matrix is as follows:
wherein S isααRepresenting the scattering coefficient, S, at which the linear polarization basis alpha is transmitted and receivedαβRepresenting the scattering coefficient, S, at which the transmitting linear polarization radical beta receives the linear polarization radical alphaββRepresenting the scattering coefficient, S, at which the transmitting linear polarization base beta receives the linear polarization base beta* ββIs SββConjugation of (A), S* ααIs SααConjugation of (1);
the transmission matrix expression corresponding to the covariance matrix is:
γ＝(γ1+γ2)/2,Δγ＝γ2-γ1
wherein, PC(α β) represents a transmission matrix corresponding to the covariance matrix under the linear polarization basis α and the linear polarization basis β, γ represents a transmission constant, γ1Representing the transmission constant, gamma, corresponding to the first characteristic polarization2And L represents the length of the dielectric region.
Further, in step S4, when the influence of environmental errors introduced by the rain and snow environment is increased, for the medium region in the rain and snow environment, when the transmission effect is considered, the covariance matrix expression corresponding to the target and the medium as a whole is:
wherein, PC t*(α β) is PCThe conjugate transpose of (α β), C (α β) represents the target true covariance matrix under the linear polarization basis α and the linear polarization basis β. The correspondence between the covariance matrix and the scattering matrix is unchanged.
In particular, in some preferred embodiments of the present invention, there is further provided a computer device, including a memory and a processor, where the memory stores a computer program, and the processor implements the steps of the method for constructing the target complete polarization scattering matrix error model in the rain and snow environment in any one of the above embodiments when executing the computer program.
In other preferred embodiments of the present invention, a computer-readable storage medium is further provided, on which a computer program is stored, and the computer program is executed by a processor to implement the steps of the method for constructing the target complete polarization scattering matrix error model in the rain and snow environment described in any of the above embodiments.
It will be understood by those skilled in the art that all or part of the processes in the method for implementing the above embodiments may be implemented by a computer program, which may be stored in a non-volatile computer-readable storage medium, and when executed, the computer program may include the processes in the embodiments of the method for constructing the target complete polarization scattering matrix error model in the rain and snow environment, and the description thereof will not be repeated.
Finally, it should be noted that: the above examples are only intended to illustrate the technical solution of the present invention, but not to limit it; although the present invention has been described in detail with reference to the foregoing embodiments, it will be understood by those of ordinary skill in the art that: the technical solutions described in the foregoing embodiments may still be modified, or some technical features may be equivalently replaced; and such modifications or substitutions do not depart from the spirit and scope of the corresponding technical solutions of the embodiments of the present invention.
Claims (10)
1. A target complete polarization scattering matrix error model construction method under a rain and snow environment is characterized by comprising the following steps:
s1, carrying out polarization effect analysis on the rain and snow environment, and determining the reflection symmetry of the meteorological target;
s2, constructing a transmission matrix in a rain and snow environment;
s3, setting a target, and determining the influence of system errors introduced by the measurement system;
s4, on the basis of system error influence, the influence of environmental errors introduced by a rain and snow environment is increased by combining a transmission matrix, and a target full polarization scattering matrix error model under the rain and snow environment is constructed.
2. The method for constructing the error model of the target complete polarization scattering matrix in the rain and snow environment according to claim 1, wherein:
in step S1, when analyzing the polarization effect of the rain and snow environment, it is assumed that the medium for transmitting electromagnetic waves in the rain and snow environment is composed of particles, each of which is an aspheric body and has a specific tilt direction to form an anisotropic medium;
and when the reflection symmetry of the meteorological target is determined, determining a reflection symmetry plane of the medium according to the average inclination angle of each particle in the medium and the radar sight line, and further establishing a coordinate system according to the reflection symmetry plane to enable the reflection symmetry plane to be an XZ plane.
3. The method for constructing the error model of the target complete polarization scattering matrix in the rain and snow environment according to claim 2, wherein:
in step S2, when constructing the transmission matrix in the rain and snow environment, constructing a scattering matrix, where P (+ -) represents the transmission matrix corresponding to the scattering matrix in the circular polarization base, and an expression of P (+ -) is:
γ＝(γ1+γ2)/2,Δγ＝γ2-γ1
wherein γ represents a transmission constant, γ1Representing the transmission constant, gamma, corresponding to the first characteristic polarization2Denotes the transmission constant corresponding to the second characteristic polarization, L denotes the length of the region of the medium, τ and τ2All represent complex constants;
further, the expression of the scattering matrix under the circularly polarized base is obtained as follows:
wherein S is++Representing the scattering coefficient, S, when both transmission and reception are right-hand circular polarization+-Representing the scattering coefficient, S, when transmitting left-hand circular polarization and receiving right-hand circular polarization--Represents the scattering coefficient, S, when both transmit and receive are left-handed circular polarizationscRepresents the scattering matrix, P, under ideal conditionst(+ -) is the transpose of P (+ -);
the medium in the rain and snow environment is symmetrical about an XZ plane, and a transmission matrix expression corresponding to a scattering matrix is rewritten into the following expression according to a linear polarization base alpha parallel to a medium reflection symmetrical plane and a linear polarization base beta vertical to the medium reflection symmetrical plane:
wherein, PSAnd (alpha beta) represents a transmission matrix corresponding to the scattering matrix under the linear polarization base alpha and the linear polarization base beta.
4. The method for constructing the error model of the target complete polarization scattering matrix in the rain and snow environment according to claim 3, wherein:
in step S3, when determining the influence of the system error introduced by the measurement system itself, the atmospheric environment influence is not considered, and the measurement matrix M expression is:
M＝RST+I
wherein, I is an additive error matrix, T is a multiplicative error matrix of a transmitting path, R is a multiplicative error matrix of a receiving path, and S represents a real scattering matrix of a target.
5. The method for constructing the error model of the target complete polarization scattering matrix in the rain and snow environment according to claim 4, wherein:
in step S4, when the influence of environmental errors introduced by the rain and snow environment is increased, for the medium region in the rain and snow environment, when the transmission effect is considered, the scattering matrix expression corresponding to the target and the medium as a whole is:
wherein the content of the first and second substances,
is PSConjugate transpose of (alpha beta), S (alpha beta) represents a real scattering matrix of the target under the linear polarization base alpha and the linear polarization base beta, SααRepresenting the scattering coefficient, S, at which the linear polarization basis alpha is transmitted and receivedαβRepresenting the scattering coefficient, S, at which the transmitting linear polarization radical beta receives the linear polarization radical alphaββRepresenting the scattering coefficient when the linear polarization base beta is transmitted and received;
the measurement matrix M is obtained with the expression:
6. the method for constructing the error model of the target complete polarization scattering matrix in the rain and snow environment according to claim 5, wherein:
for a radar measurement system for single-station transceiving, a multiplicative error matrix T of a transmitting path and a multiplicative error matrix R of a receiving path are conjugate transposes, and the expression of a measurement matrix M is as follows:
wherein the content of the first and second substances,
is the conjugate transpose of R.
7. The method for constructing the error model of the target complete polarization scattering matrix in the rain and snow environment according to claim 2, wherein:
in step S2, when constructing the transmission matrix in the rain and snow environment, a covariance matrix is constructed, where the medium in the rain and snow environment is symmetric about the XZ plane, and an expression of the covariance matrix is:
wherein S isααRepresenting the scattering coefficient, S, at which the linear polarization basis alpha is transmitted and receivedαβRepresenting the scattering coefficient, S, at which the transmitting linear polarization radical beta receives the linear polarization radical alphaββRepresenting the scattering coefficient, S, at which the transmitting linear polarization base beta receives the linear polarization base beta* ββIs SββConjugation of (A), S* ααIs SααConjugation of (1);
the transmission matrix expression corresponding to the covariance matrix is:
γ＝(γ1+γ2)/2,Δγ＝γ2-γ1
wherein, PC(α β) represents a transmission matrix corresponding to the covariance matrix under the linear polarization basis α and the linear polarization basis β, γ represents a transmission constant, γ1Representing the transmission constant, gamma, corresponding to the first characteristic polarization2And L represents the length of the dielectric region.
8. The method for constructing the error model of the target complete polarization scattering matrix in the rain and snow environment according to claim 7, wherein:
in step S4, when the influence of environmental errors introduced by the rain and snow environment is increased, for the medium region in the rain and snow environment, when the transmission effect is considered, the covariance matrix expression corresponding to the target and the medium as a whole is:
wherein the content of the first and second substances,
is PCThe conjugate transpose of (α β), C (α β) represents the target true covariance matrix under the linear polarization basis α and the linear polarization basis β.
9. A computer device comprising a memory and a processor, the memory storing a computer program, wherein the processor when executing the computer program implements the steps of the method for constructing a target complete polarization scattering matrix error model in a rain and snow environment according to any one of claims 1 to 8.
10. A computer-readable storage medium, on which a computer program is stored, which, when being executed by a processor, implements the steps of the method for constructing an error model of a target complete polarization scattering matrix in a rainy or snowy environment according to any one of claims 1 to 8.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202110409782.4A CN113189552A (en) | 2021-04-16 | 2021-04-16 | Target complete polarization scattering matrix error model construction method under rain and snow environment |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202110409782.4A CN113189552A (en) | 2021-04-16 | 2021-04-16 | Target complete polarization scattering matrix error model construction method under rain and snow environment |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| CN113189552A true CN113189552A (en) | 2021-07-30 |
Family
ID=76977052
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN202110409782.4A Pending CN113189552A (en) | 2021-04-16 | 2021-04-16 | Target complete polarization scattering matrix error model construction method under rain and snow environment |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN113189552A (en) |
Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN103645466A (en) * | 2013-12-16 | 2014-03-19 | 中国科学院电子学研究所 | Polarization calibration method based on platform attitude time variation compensation |
| US20160277132A1 (en) * | 2015-03-12 | 2016-09-22 | University Of Notre Dame Du Lac | Method and apparatus for sinusoid detection |
| CN108646226A (en) * | 2018-05-10 | 2018-10-12 | 北京航空航天大学 | The passive Polarimetric Calibration body measured for polarization scattering matrix |
| CN111948615A (en) * | 2020-06-30 | 2020-11-17 | 中国资源卫星应用中心 | Polarization calibration method and device for satellite-borne fully-polarized SAR data |
| CN111983575A (en) * | 2020-08-17 | 2020-11-24 | 北京环境特性研究所 | Active and passive fusion calibration method and device |
-
2021
- 2021-04-16 CN CN202110409782.4A patent/CN113189552A/en active Pending
Patent Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN103645466A (en) * | 2013-12-16 | 2014-03-19 | 中国科学院电子学研究所 | Polarization calibration method based on platform attitude time variation compensation |
| US20160277132A1 (en) * | 2015-03-12 | 2016-09-22 | University Of Notre Dame Du Lac | Method and apparatus for sinusoid detection |
| CN108646226A (en) * | 2018-05-10 | 2018-10-12 | 北京航空航天大学 | The passive Polarimetric Calibration body measured for polarization scattering matrix |
| CN111948615A (en) * | 2020-06-30 | 2020-11-17 | 中国资源卫星应用中心 | Polarization calibration method and device for satellite-borne fully-polarized SAR data |
| CN111983575A (en) * | 2020-08-17 | 2020-11-24 | 北京环境特性研究所 | Active and passive fusion calibration method and device |
Non-Patent Citations (4)
| Title |
|---|
| FANG LIU 等: "The Influence of Rain Clutter on Analysis of Target Polarization Properties", 《2019 PHOTONICS & ELECTROMAGNETICS RESEARCH SYMPOSIUM | FALL (PIERS | FALL),》 * |
| XIANHE SHAO 等: "Target polarization recognition under rain and snow cluster", 《IEEE》 * |
| 翟计全等: "全极化雷达极化标校技术研究", 《电波科学学报》 * |
| 陈琳 等: "单发双收SAR系统通用极化定标算法", 《雷达学报》 * |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| Leinonen et al. | Evidence of nonspheroidal behavior in millimeter‐wavelength radar observations of snowfall | |
| Zhang et al. | Phased array radar polarimetry for weather sensing: A theoretical formulation for bias corrections | |
| CN107589412B (en) | Insect characteristic parameter inversion method based on polarization power matrix characteristic value | |
| Lin et al. | Design and optimization of a Ku-band rotating, range-gated fanbeam scatterometer | |
| Doerry | Earth curvature and atmospheric refraction effects on radar signal propagation. | |
| US9465106B2 (en) | Robust attenuation correction system for radar reflectivity and differential reflectivity | |
| CN108717181A (en) | A kind of preposition linkage calibration test methods of novel outdoor field static state RCS | |
| CN109932698A (en) | The low elevation estimate method of metre wave radar based on terrain information | |
| CN107976671B (en) | Radar target angle calculation method suitable for sparse array antenna | |
| CN105046072B (en) | Two-dimentional angle estimation method based on compressive sensing theory | |
| Gorgucci et al. | Intercomparison of techniques to correct for attenuation of C-band weather radar signals | |
| CN113189552A (en) | Target complete polarization scattering matrix error model construction method under rain and snow environment | |
| CN113376625A (en) | Method and device for obtaining deviation angle of target object, electronic equipment and storage medium | |
| CN106772368B (en) | The super-resolution three-D imaging method of more random frequency radar arrays | |
| Moisseev et al. | Improved polarimetric calibration for atmospheric radars | |
| CN106908760A (en) | Single-station passive positioning method based on array autocorrelation matrix | |
| Tsai et al. | HF Radio Angle-of-Arrival Measurements and Ionosonde Positioning. | |
| Zhang et al. | Phased array radar polarimetry for weather sensing: Challenges and opportunities | |
| Edwards et al. | High frequency land backscatter coefficients over northern australia and the effects of various surface properties | |
| Bernhardt et al. | Predictions of HF system performance for propagation through disturbed ionospheres measured using low-Earth-orbit satellite radio beacon tomography | |
| McCusker et al. | An accurate and computationally cheap microwave scattering method for ice aggregates: the Independent Monomer Approximation | |
| CN103996214B (en) | BP-SAR image reconstruction error analysis method and BP-SAR image reconstruction method | |
| Ozgun et al. | Two-way split-step parabolic equation algorithm for tropospheric propagation: Tests and comparisons | |
| Gjessing | On the scattering of electromagnetic waves by nonisotropic inhomogeneities in the atmosphere | |
| Chen et al. | Measurement of atmospheric aspect sensitivity using coherent radar imaging after mitigation of radar beam weighting effect |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| PB01 | Publication | ||
| PB01 | Publication | ||
| SE01 | Entry into force of request for substantive examination | ||
| SE01 | Entry into force of request for substantive examination | ||
| RJ01 | Rejection of invention patent application after publication | ||
| RJ01 | Rejection of invention patent application after publication |
Application publication date: 20210730 |