CN112444825A - Ionized layer TEC assimilation modeling method based on Beidou GEO - Google Patents
Ionized layer TEC assimilation modeling method based on Beidou GEO Download PDFInfo
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Abstract
The invention discloses an ionized layer TEC assimilation modeling method based on Beidou GEO, which comprises the following steps: an assimilation method: carrying out a data assimilation experiment by using a gradual correction method, taking an IRI model as prior information, and gradually correcting by using Beidou GEO ionized layer TEC data; extracting the Beidou GEO ionized layer TEC; extracting a TEC grid value of an international reference ionosphere model IRI, and assimilating the Beidou GEO ionosphere TEC value into the IRI model by using an improved stepwise correction method; and (5) evaluating the accuracy of the assimilation model. The method assimilates the ionized layer into an international reference ionosphere model IRI by an improved gradual correction method, and carries out comparative analysis with a global ionosphere map GIM and Beidou GEO ionosphere TEC values which do not participate in modeling to evaluate the precision of the ionized layer IRI. The method has important application value in GNSS navigation positioning accuracy improvement and disaster reduction and prevention capability in space environment.
Description
Technical Field
The invention relates to an ionized layer technology, in particular to an ionized layer TEC assimilation modeling method based on Beidou GEO.
Background
Currently, the ionosphere is a complex system that exhibits not only significant climate change, but also significant weather disturbances after exposure to solar, geomagnetic, and meteorological effects. Ionospheric disturbances can have a severe impact on navigation positioning, short-wave communication, power grids, and the like. In order to correct ionospheric errors in satellite navigation and orbital positioning and to mitigate the effects of the errors on military and civilian systems, it is important to provide accurate and reliable ionospheric products as much as possible in practical applications. The Global Navigation Satellite System (GNSS) technology has greatly promoted the development of Global ionosphere modeling and regional ionosphere modeling, and plays an important role in determining the dynamic characteristics of the ionosphere. In addition, a plurality of modeling technologies such as empirical models, analytical and parametric models, and numerical models can reproduce the large-scale morphological characteristics of the ionosphere and perform ionosphere prediction. However, these ionospheric modeling techniques do not reproduce the ionospheric disturbance morphology well due to the mere interpolation of discrete ionospheric measurements and the lack of reliable estimates of the ionosphere. The above is a key problem faced by ionosphere modeling, and in recent years, a data assimilation technology has become a common method for improving the accuracy of a monitoring and forecasting system by assimilating observation values into an ionosphere model. Data assimilation techniques project observations through some analytical algorithm onto a suitable scale or suitable global or regional grid, and then combine with background model values to make predictions. Data assimilation methods have been successful in meteorology and oceanology, and many experiences and mature assimilation algorithms such as variational method and Kalman filtering method are accumulated. The key of the ionosphere assimilation model is an assimilation method and an assimilation data source, and the precision of the ionosphere model is improved by utilizing Beidou GEO (Geostationary Earth Orbit) ionosphere TEC in a few documents.
In the prior art:
(1) an assimilation method: the progressive Correction Method (SCM) is an iterative empirical Method. And performing a data assimilation experiment by using a gradual correction method, taking the IRI model as prior information, and performing gradual correction by using Beidou GEO ionosphere TEC data.Is a given grid pointGiven by the IRI model, the specific iteration is as follows:
in the formula (I), the compound is shown in the specification,in order to correct the number of times,to affect the total number of grid points within a radius,is as followsThe secondary observation points are used for observing the secondary observation points,to observeAt a point ofThe sub-estimation is carried out in such a way that,is as followsPassing over the grid pointThe value after the second iteration is,to measureAn estimate of the ratio of the magnitude error variance to the a priori error variance,is as followsAt the time of the next iteration, theA weighting factor for each observation; weighting factorThe distance between the observation point and the grid point is defined as the reduction of inverse proportion to the square or inverse proportion to the index of the square distance, the Beidou GEO ionosphere TEC value is fused, and the weighting factor is defined as follows:
in the formula (I), the compound is shown in the specification,is a large circle radius inner grid pointAndthe distance of (a) to (b),for the planar correlation length between grid points,is the iteration radius of the influence of a grid point on its neighborhood.
(2) Assimilation of data sources: taking an International Reference Ionosphere model IRI (International Reference Ionosphere) as a prior model, acquiring the Ionosphere TEC by utilizing a GNSS middle Orbit (MEO) satellite, and assimilating the Ionosphere TEC into the IRI prior model.
(1) The SCM corrects the previous guess by the difference between the observed data and the prior information, and the function weight of the method is constant in the iterative process.
(2) The ionospheric IRI prior model is assimilated with TEC data for MEO satellites (e.g., GPS or GLONASS satellites), however, these TEC data are affected by changes in spatial gradients caused by satellite movement.
The Ionosphere assimilation model is constructed by utilizing the Beidou GEO satellite Ionosphere TEC and an International Reference Ionosphere model IRI (International Reference Ionosphere) based on an improved gradual correction method.
Disclosure of Invention
The invention mainly aims to provide an ionized layer TEC assimilation modeling method based on Beidou GEO, and an SCM is improved by selecting an appropriate estimation value of a ratio of a measurement error variance to a prior error variance.
The technical scheme adopted by the invention is as follows: an ionized layer TEC assimilation modeling method based on Beidou GEO comprises the following steps:
an assimilation method: carrying out a data assimilation experiment by using a gradual correction method, taking an IRI model as prior information, and gradually correcting by using Beidou GEO ionized layer TEC data;
extracting the Beidou GEO ionized layer TEC;
extracting a TEC grid value of an international reference ionosphere model IRI, and assimilating the Beidou GEO ionosphere TEC value into the IRI model by using an improved stepwise correction method;
and (5) evaluating the accuracy of the assimilation model.
Further, the assimilation method includes:
in the formula (I), the compound is shown in the specification,in order to correct the number of times,to affect the total number of grid points within a radius,is as followsThe secondary observation points are used for observing the secondary observation points,to observeAt a point ofThe sub-estimation is carried out in such a way that,is as followsPassing over the grid pointThe value after the second iteration is,to estimate the ratio of the measurement error variance to the a priori error variance,is as followsAt the time of the next iteration, theA weighting factor for each observation; weighting factorThe distance between the observation point and the grid point is defined as the reduction of inverse proportion to the square or inverse proportion to the index of the square distance, the Beidou GEO ionosphere TEC value is fused, and the weighting factor is defined as follows:
in the formula (I), the compound is shown in the specification,is a large circle radius inner grid pointAndthe distance of (a) to (b),for the planar correlation length between grid points,is the iteration radius of the influence of a grid point on its neighborhood.
Still further, the assimilation method further includes:
the ionized layer TEC assimilation is carried out by using an improved step-by-step correction method ISCM, and the method comprises the following steps:
in the formula (I), the compound is shown in the specification,in order to correct the number of times,to affect the total number of grid points within a radius,is as followsThe last iteration of each lattice pointThe latter value is then used to determine the value,is as followsThe secondary observation points are used for observing the secondary observation points,to observeAt a point ofThe sub-estimation is carried out in such a way that,is as followsAt the time of the next iteration, theThe weight factor of each of the observations is,in order to be the variance of the model,measuring error variance of the Beidou GEO ionized layer TEC value; and assimilating the Beidou GEO ionosphere TEC value into the IRI model through ISCM.
Still further, the accuracy assessment of the assimilation model includes:
and comparing and analyzing the data with the global ionosphere pattern GIM, and simultaneously evaluating the precision of the data with the Beidou GEO ionosphere TEC value which does not participate in modeling.
The invention has the advantages that:
according to the ionized layer TEC assimilation modeling method based on the Beidou GEO, the TEC of the fixed puncture point obtained by Beidou GEO satellite estimation is assimilated into an international reference ionized layer model IRI by an improved gradual correction method, and compared with a global ionized layer diagram GIM and a Beidou GEO ionized layer TEC value which does not participate in modeling are analyzed to evaluate the precision of the TEC.
The method has important application value in GNSS navigation positioning accuracy improvement and disaster reduction and prevention capability in space environment.
In addition to the objects, features and advantages described above, other objects, features and advantages of the present invention are also provided. The present invention will be described in further detail below with reference to the drawings.
Drawings
The accompanying drawings, which are incorporated in and constitute a part of this application, illustrate embodiments of the invention and, together with the description, serve to explain the invention and not to limit the invention.
FIG. 1 is a Beidou survey station profile of the assimilation modeling of the present invention;
FIG. 2 is an ionosphere TEC profile for a Beidou GEO satellite of the present invention;
fig. 3 is a comparison graph of the ISCM and SCM assimilation modeling results of the present invention and beidou GEO satellite TEC and GIM-TEC, wherein (a) is an ionospheric VTEC value in 2017, 5 months and 8 days obtained by resolving after a C01 satellite signal is received by CHBT and (b) is an ionospheric VTEC value in 2017, 5 months and 8 days obtained by resolving after a C01 satellite signal is received by QXSZ and is used as a reference value graph.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, the present invention is described in further detail below with reference to the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are merely illustrative of the invention and are not intended to limit the invention.
The ionized layer TEC assimilation modeling method based on the Beidou GEO comprises the following steps:
(1) an assimilation method: the progressive Correction Method (SCM) is an iterative empirical Method. And performing a data assimilation experiment by using a gradual correction method, taking the IRI model as prior information, and performing gradual correction by using Beidou GEO ionosphere TEC data.Is a given grid pointGiven by the IRI model, the specific iteration is as follows:
in the formula (I), the compound is shown in the specification,in order to correct the number of times,to affect the total number of grid points within a radius,is as followsThe secondary observation points are used for observing the secondary observation points,to observeAt a point ofThe sub-estimation is carried out in such a way that,is as followsPassing over the grid pointThe value after the second iteration is,to estimate the ratio of the measurement error variance to the a priori error variance,is as followsAt the time of the next iteration, theA weighting factor for each observation; weighting factorDefined as the decrease in inverse square of the distance between the observation point and the grid point or in inverse proportion to the exponent of the squared distance. The Beidou GEO ionized layer TEC value is fused, and the weight factors are defined as follows:
in the formula (I), the compound is shown in the specification,is a large circle radius inner grid pointAndthe distance of (a) to (b),for the planar correlation length between grid points,is the iteration radius of the influence of a grid point on its neighborhood.
SCM is improved by choosing an appropriate estimate of the ratio of the measurement error variance to the a priori error variance, and correcting the previous estimate by observing the difference between the data and the a priori information, the functional weight of the method being constant during the iteration. The invention provides a Method for assimilating ionized layer TEC by using an Improved progressive successful Correction Method (ISCM) based on Beidou GEO ionized layer TEC value and prior model IRI information. The improved method comprises the following steps:
in the formula (I), the compound is shown in the specification,in order to correct the number of times,to affect the total number of grid points within a radius,is as followsThe last iteration of each lattice pointThe latter value is then used to determine the value,is as followsThe secondary observation points are used for observing the secondary observation points,to observeAt a point ofThe sub-estimation is carried out in such a way that,is as followsAt the time of the next iteration, theThe weight factor of each of the observations is,in order to be the variance of the model,measuring error variance of the Beidou GEO ionized layer TEC value; and assimilating the Beidou GEO ionosphere TEC value into the IRI model through ISCM.
(2) And (4) extracting the Beidou GEO ionized layer TEC. Because the GEO satellite keeps synchronous with the earth rotation and the signal propagation path of the GEO satellite and the ground receiver is almost kept unchanged due to the characteristic that the satellite and the earth are relatively static, the ionized layer TEC of the Beidou GEO cannot be influenced by the change of the ionized layer space and time gradient. The invention utilizes a non-differential non-combination precise single-point positioning technology to extract the ionized layer TEC.
(3) And extracting a TEC grid value of the international reference ionosphere model IRI, and assimilating the Beidou GEO ionosphere TEC value into the IRI model by using an improved gradual correction method.
(4) And (5) evaluating the accuracy of the assimilation model. And carrying out comparative analysis with a Global Ionosphere Map (GIM) and simultaneously carrying out precision evaluation with Beidou GEO Ionosphere TEC values which do not participate in modeling.
Wherein the SCM is refined by selecting an appropriate estimate of the ratio of the measurement error variance to the a priori error variance, wherein the SCM corrects the previous estimate by the difference between the observed data and the a priori information, and the functional weight of the method is constant during the iteration. The invention provides a Method for assimilating ionized layer TEC by using an Improved progressive successful Correction Method (ISCM) based on Beidou GEO ionized layer TEC value and prior model IRI information.
Because the GEO satellite keeps synchronous with the earth rotation and the signal propagation path of the GEO satellite and the ground receiver is almost kept unchanged due to the characteristic that the satellite and the earth are relatively static, the ionized layer TEC of the Beidou GEO cannot be influenced by the change of the space and the time gradient of the ionized layer. According to the invention, the Beidou GEO ionized layer TEC value is assimilated into an international reference ionized layer model IRI model.
Fig. 1 shows the distribution of the Beidou test stations for assimilation modeling, wherein ^ x represents a test station participating in assimilation modeling and ^ x represents a test station not participating in assimilation modeling, namely a CHBT test station and a QXSZ test station.
FIG. 2 shows the ionosphere TEC distribution of UT12 Beidou GEO satellite 5/8/2017.
Fig. 3 shows comparison of the ISCM and SCM assimilation modeling results with the TECs and GIM-TECs of beidou GEO satellite No. one, (a) the diagram shows the ionospheric VTEC value of 2017, 5 months and 8 days obtained by resolving after the CHBT receives the C01 satellite signal as a reference value, and (b) the diagram shows the ionospheric VTEC value of 2017, 5 months and 8 days obtained by resolving after the QXSZ receives the C01 satellite signal as a reference value. It can be seen that the result of the ISCM assimilation modeling is closer to the ionosphere TEC value of the Beidou GEO satellite, so that the ISCM assimilation modeling result is better than the SCM assimilation modeling result.
The above description is only for the purpose of illustrating the preferred embodiments of the present invention and is not to be construed as limiting the invention, and any modifications, equivalents, improvements and the like that fall within the spirit and principle of the present invention are intended to be included therein.
Claims (4)
1. The ionized layer TEC assimilation modeling method based on Beidou GEO is characterized by comprising the following steps of:
an assimilation method: carrying out a data assimilation experiment by using a gradual correction method, taking an IRI model as prior information, and gradually correcting by using Beidou GEO ionized layer TEC data;
extracting the Beidou GEO ionized layer TEC;
extracting a TEC grid value of an international reference ionosphere model IRI, and assimilating the Beidou GEO ionosphere TEC value into the IRI model by using an improved stepwise correction method;
and (5) evaluating the accuracy of the assimilation model.
2. The ionosphere TEC assimilation modeling method based on Beidou GEO according to claim 1,
characterized in that the assimilation method comprises:
in the formula (I), the compound is shown in the specification,in order to correct the number of times,to affect the total number of grid points within a radius,is as followsThe secondary observation points are used for observing the secondary observation points,to observeAt a point ofThe sub-estimation is carried out in such a way that,is as followsPassing over the grid pointThe value after the second iteration is,to estimate the ratio of the measurement error variance to the a priori error variance,is as followsAt the time of the next iteration, theA weighting factor for each observation; weighting factorThe distance between the observation point and the grid point is defined as the reduction of inverse proportion to the square or inverse proportion to the index of the square distance, the Beidou GEO ionosphere TEC value is fused, and the weighting factor is defined as follows:
3. The ionosphere TEC assimilation modeling method based on Beidou GEO according to claim 1,
characterized in that the assimilation method further comprises:
the ionized layer TEC assimilation is carried out by using an improved step-by-step correction method ISCM, and the method comprises the following steps:
in the formula (I), the compound is shown in the specification,in order to correct the number of times,to affect the total number of grid points within a radius,is as followsThe last iteration of each lattice pointThe latter value is then used to determine the value,is as followsThe secondary observation points are used for observing the secondary observation points,to observeAt a point ofThe sub-estimation is carried out in such a way that,is as followsAt the time of the next iteration, theThe weight factor of each of the observations is,in order to be the variance of the model,measuring error variance of the Beidou GEO ionized layer TEC value; and assimilating the Beidou GEO ionosphere TEC value into the IRI model through ISCM.
4. The ionosphere TEC assimilation modeling method based on Beidou GEO according to claim 1,
wherein the accuracy assessment of the assimilation model comprises:
and comparing and analyzing the data with the global ionosphere pattern GIM, and simultaneously evaluating the precision of the data with the Beidou GEO ionosphere TEC value which does not participate in modeling.
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