CN107402394B - Satellite-borne frequency measurement positioning error source on-orbit calibration method and device - Google Patents
Satellite-borne frequency measurement positioning error source on-orbit calibration method and device Download PDFInfo
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Abstract
本发明公开了一种星载测频定位误差源在轨标校方法和装置。所述方法包括:在测频卫星的波束覆盖范围内选取标校站,控制标校站发射处于测频卫星工作频段范围内的标校信号;控制测频卫星对标校信号进行N次频率测量,获得标校信号的频率测量矩阵;根据标校站在地心固连坐标系中的位置矢量、测频卫星在地心固连坐标系中的位置矢量、相对速度矢量,计算标校信号的状态矩阵;根据标校信号的真实频率、频率测量矩阵、频率测量次数N和状态矩阵,计算测频卫星的测频偏差估计值。可见,本发明采用在轨标校的方式进行长期漂移误差的消除,能够提高测频卫星对地面辐射源的测频精度和定位精度。
The invention discloses a method and a device for on-orbit calibration of an on-orbit calibration error source of on-board frequency measurement and positioning. The method includes: selecting a calibration station within the beam coverage of the frequency measurement satellite, controlling the calibration station to transmit a calibration signal within the working frequency band of the frequency measurement satellite; controlling the frequency measurement satellite to perform N frequency measurements on the calibration signal , obtain the frequency measurement matrix of the calibration signal; according to the position vector of the calibration station in the fixed coordinate system of the earth's center, the position vector of the frequency measurement satellite in the fixed coordinate system of the earth's center, and the relative velocity vector, calculate the frequency of the calibration signal. State matrix: According to the real frequency of the calibration signal, the frequency measurement matrix, the number of frequency measurements N and the state matrix, calculate the estimated value of the frequency measurement deviation of the frequency measurement satellite. It can be seen that the present invention adopts the method of on-orbit calibration to eliminate the long-term drift error, and can improve the frequency measurement accuracy and positioning accuracy of the frequency measurement satellite to the ground radiation source.
Description
技术领域technical field
本发明涉及天基无线电定位技术领域,特别涉及一种星载测频定位误差源在轨标校方法和装置。The invention relates to the technical field of space-based radio positioning, in particular to a method and a device for on-orbit calibration of a satellite-borne frequency measurement and positioning error source.
背景技术Background technique
现代战争是信息化战争,掌握战争的主动权的关键在于是否能优先感知战争态势。其中,无线电侦察技术作为战争态势感知的手段之一,在现代战争中起着重要的作用,特别是天基无线电侦察技术具有覆盖范围广、截获概率高、布置灵活、情报反应速度快、费效比高等优点,已经成为各军事强国的竞争焦点。Modern warfare is an information-based warfare, and the key to mastering the initiative in warfare lies in whether it can give priority to perceiving the war situation. Among them, radio reconnaissance technology, as one of the means of war situational awareness, plays an important role in modern warfare, especially the space-based radio reconnaissance technology has the advantages of wide coverage, high probability of interception, flexible arrangement, fast intelligence response and cost-effective Compared with higher advantages, it has become the focus of competition among military powers.
利用天基无线电侦察技术,不仅可以获得目标的无线电特征信息及情报信息,而且可以对目标进行定位、探知目标活动规律。通过融合目标的无线电信息与位置信息,能够提供更加有价值的军事情报。天基无线电定位技术是重要的技术要求之一。Using the space-based radio reconnaissance technology, not only the radio characteristic information and intelligence information of the target can be obtained, but also the target can be located and the activity law of the target can be detected. By fusing the target's radio information and location information, it can provide more valuable military intelligence. Space-based radiolocation technology is one of the important technical requirements.
在天基无线电定位技术的各种定位手段中,测频定位,即依靠侦查目标的无线电辐射特征,对侦查目标进行精确定位是最常用的手段。功能简单、成本低的皮纳卫星是天基无线电定位技术的发展趋势,结合测频定位手段,皮纳卫星既能实现无线电信号情报获取,又能对目标进行精确定位,皮纳卫星是重要的天基无线电侦察手段。Among the various positioning methods of space-based radio positioning technology, frequency measurement positioning, that is, relying on the radio radiation characteristics of the detection target, is the most commonly used method to accurately locate the detection target. Pina satellites with simple functions and low cost are the development trend of space-based radio positioning technology. Combined with frequency measurement positioning methods, Pina satellites can not only achieve radio signal intelligence acquisition, but also accurately locate targets. Pina satellites are important. Space-based radio reconnaissance means.
但是,由于皮纳卫星重量、体积及成本的限制,其作为数字接收机频率源的晶振频率稳定度可能比较差,长期漂移误差及短期漂移误差都比较敏感,晶振的长期漂移误差及短期漂移误差最终都会导致皮纳卫星对地面低速或静止辐射源的测频及定位存在一定误差,使得测频或定位不准确。其中,短期漂移误差主要受温度影响,并与温度成一定的比例关系,可以通过地面事先测量进行标校、补偿;但是,长期漂移误差主要受器件老化影响,随着在轨时间及空间环境的作用,该误差逐渐变大,无法通过地面标校进行补偿,只能进行在轨标校。长期漂移误差的存在,导致难以获得准确的测频信息,无法进行精确定位的问题。However, due to the limitations of the weight, volume and cost of the Pina satellite, the frequency stability of the crystal oscillator used as the frequency source of the digital receiver may be poor, and the long-term drift error and short-term drift error are relatively sensitive. The long-term drift error and short-term drift error of the crystal oscillator Eventually, there will be certain errors in the frequency measurement and positioning of the Pina satellite for the low-speed or stationary radiation sources on the ground, making the frequency measurement or positioning inaccurate. Among them, the short-term drift error is mainly affected by temperature, and has a certain proportional relationship with the temperature, which can be calibrated and compensated by the ground measurement in advance; however, the long-term drift error is mainly affected by the aging of the device, and with the on-orbit time and space environment. As a result, the error gradually becomes larger, which cannot be compensated by ground calibration, and can only be calibrated on-orbit. The existence of long-term drift error makes it difficult to obtain accurate frequency measurement information and cannot perform precise positioning.
发明内容SUMMARY OF THE INVENTION
为了消除长期漂移误差对测频误差及定位误差的影响,提出了本发明的一种星载测频定位误差源在轨标校方法和装置。In order to eliminate the influence of long-term drift error on frequency measurement error and positioning error, a method and device for on-orbit calibration of a spaceborne frequency measurement and positioning error source of the present invention are proposed.
根据本发明的一个方面,提供了一种星载测频定位误差源在轨标校方法,所述方法包括:According to an aspect of the present invention, there is provided a method for on-orbit calibration of an on-orbit error source of on-board frequency measurement and positioning, the method comprising:
在测频卫星的波束覆盖范围内选取标校站,控制所述标校站发射处于所述测频卫星工作频段范围内的标校信号;Select a calibration station within the beam coverage of the frequency measurement satellite, and control the calibration station to transmit a calibration signal within the working frequency range of the frequency measurement satellite;
控制所述测频卫星对所述标校信号进行多次频率测量,获得所述标校信号的频率测量矩阵;Controlling the frequency measurement satellite to perform multiple frequency measurements on the calibration signal to obtain a frequency measurement matrix of the calibration signal;
根据所述标校站在地心固连坐标系中的位置矢量、所述测频卫星在地心固连坐标系中的位置矢量、相对速度矢量,计算所述标校信号的状态矩阵;Calculate the state matrix of the calibration signal according to the position vector of the calibration station in the geocentric fixed coordinate system, the position vector and relative velocity vector of the frequency measurement satellite in the geocentric fixed coordinate system;
根据所述标校信号的真实频率、所述频率测量矩阵、频率测量次数和所述状态矩阵,计算所述测频卫星的测频偏差估计值。According to the real frequency of the calibration signal, the frequency measurement matrix, the frequency measurement times and the state matrix, the estimated value of the frequency measurement deviation of the frequency measurement satellite is calculated.
根据本发明的另一个方面,提供了一种星载测频定位误差源在轨标校装置,所述装置包括:According to another aspect of the present invention, an on-orbit calibration device for on-board frequency measurement and positioning error source is provided, and the device includes:
标校站选取单元,用于在测频卫星的波束覆盖范围内选取标校站,控制所述标校站发射处于所述测频卫星工作频段范围内的标校信号;The calibration station selection unit is used to select the calibration station within the beam coverage of the frequency measurement satellite, and controls the calibration station to transmit the calibration signal within the working frequency range of the frequency measurement satellite;
频率测量矩阵获取单元,用于控制所述测频卫星对所述标校信号进行多次频率测量,获得所述标校信号的频率测量矩阵;a frequency measurement matrix acquisition unit, configured to control the frequency measurement satellite to perform multiple frequency measurements on the calibration signal to obtain a frequency measurement matrix of the calibration signal;
状态矩阵计算单元,用于根据所述标校站在地心固连坐标系中的位置矢量、所述测频卫星在地心固连坐标系中的位置矢量、相对速度矢量,计算所述标校信号的状态矩阵;The state matrix calculation unit is used to calculate the standard according to the position vector of the calibration station in the fixed coordinate system of the earth's center, the position vector of the frequency measurement satellite in the fixed coordinate system of the earth's center, and the relative velocity vector. The state matrix of the calibration signal;
测频偏差估计值计算单元,用于根据所述标校信号的真实频率、所述频率测量矩阵、频率测量次数和所述状态矩阵,计算所述测频卫星的测频偏差估计值。A frequency measurement deviation estimation value calculation unit, configured to calculate the frequency measurement deviation estimation value of the frequency measurement satellite according to the real frequency of the calibration signal, the frequency measurement matrix, the frequency measurement times and the state matrix.
综上所述,本发明的技术方案采用在轨标校的方式进行长期漂移误差的消除,通过在测频卫星波束覆盖范围内选取合适的标校站,并控制该标校站发射处于测频卫星工作频段范围内的标校信号,确保测频卫星具有足够长的弧段可以接收到标校信号;通过控制测频卫星对标校站的标校信号进行多次频率测量后,获得标校信号的频率测量矩阵;根据标校站在地心固连坐标系中的位置矢量、测频卫星的位置矢量、相对速度矢量,计算标校信号的状态矩阵;根据标校信号的真实频率、频率测量矩阵、频率测量次数和状态矩阵,计算测频卫星的测频偏差估计值,从而使用该测频偏差估计值校正测频卫星对地面辐射源的测频信息,获得校正后的频率测量信息并输出,以消除长期漂移误差对测频误差及定位误差的影响,提高测频卫星对地面辐射源的测频精度和定位精度。To sum up, the technical solution of the present invention adopts the method of on-orbit calibration to eliminate the long-term drift error, by selecting a suitable calibration station within the coverage of the frequency measurement satellite beam, and controlling the calibration station to transmit at the frequency measurement frequency. The calibration signal within the working frequency range of the satellite ensures that the frequency measurement satellite has a long enough arc to receive the calibration signal; after the frequency measurement satellite is controlled to perform multiple frequency measurements on the calibration signal of the calibration station, the calibration signal is obtained. The frequency measurement matrix of the signal; according to the position vector of the calibration station in the fixed coordinate system of the earth's center, the position vector of the frequency measurement satellite, and the relative velocity vector, the state matrix of the calibration signal is calculated; according to the real frequency and frequency of the calibration signal The measurement matrix, frequency measurement times and status matrix are used to calculate the frequency measurement deviation estimate of the frequency measurement satellite, so as to use the frequency measurement deviation estimate to correct the frequency measurement information of the ground radiation source by the frequency measurement satellite, and obtain the corrected frequency measurement information. output, in order to eliminate the influence of long-term drift error on the frequency measurement error and positioning error, and improve the frequency measurement accuracy and positioning accuracy of the frequency measurement satellite to the ground radiation source.
附图说明Description of drawings
图1为本发明一个实施例提供的一种星载测频定位误差源在轨标校方法的流程示意图;1 is a schematic flowchart of an on-orbit calibration method for on-orbit calibration of an on-board frequency measurement and positioning error source provided by an embodiment of the present invention;
图2为本发明一个实施例提供的地心固连坐标系下的测频卫星与标校站的位置关系示意图;2 is a schematic diagram of the positional relationship between a frequency measurement satellite and a calibration station under a fixed geocentric coordinate system provided by an embodiment of the present invention;
图3为本发明一个实施例提供的一种星载测频定位误差源在轨标校装置的结构示意图;3 is a schematic structural diagram of an on-orbit calibration device for on-board frequency measurement and positioning error sources provided by an embodiment of the present invention;
图4为本发明一个实施例提供的一种星载测频定位误差源在轨标校的实施应用系统示意图;FIG. 4 is a schematic diagram of an implementation application system for on-orbit calibration of a spaceborne frequency measurement and positioning error source provided by an embodiment of the present invention;
图5为本发明一个实施例提供的一种测频卫星星下点轨迹与标校站的位置关系;5 is a positional relationship between a frequency measurement satellite sub-satellite point trajectory and a calibration station provided by an embodiment of the present invention;
图6为本发明一个实施例提供的一种标校信号到达测频卫星的真实到达频率与测频卫星的测量频率曲线图。FIG. 6 is a graph showing a real arrival frequency of a calibration signal arriving at a frequency measurement satellite and a measurement frequency of the frequency measurement satellite according to an embodiment of the present invention.
具体实施方式Detailed ways
本发明的设计思路是:为了消除长期漂移误差对测频误差及定位误差的影响,本发明提出一种星载测频定位误差源在轨标校方法,通过选取合适的标校站,控制该标校站发射处于测频卫星工作频段范围内的标校信号,控制测频卫星对该标校信号进行多次频率测量,然后根据标校站在地心固连坐标系中的位置矢量、测频卫星的位置矢量、相对速度矢量,计算标校信号的状态矩阵;根据标校信号的真实频率、测频卫星的频率测量矩阵、频率测量次数和状态矩阵,计算测频卫星的测频偏差估计值,从而利用该测频偏差估计值校正测频卫星对地面辐射源的测频信息,可实现测频卫星对地面辐射源的准确测频和准确定位。为使本发明的目的、技术方案和优点更加清楚,下面将结合附图对本发明实施方式作进一步地详细描述。The design idea of the present invention is as follows: in order to eliminate the influence of long-term drift error on frequency measurement error and positioning error, the present invention proposes a method for on-orbit calibration of satellite-borne frequency measurement and positioning error source. The calibration station transmits the calibration signal within the working frequency band of the frequency-measuring satellite, controls the frequency-measuring satellite to perform multiple frequency measurements on the calibration signal, and then measures the position vector, Calculate the state matrix of the calibration signal based on the position vector and relative velocity vector of the frequency satellite; calculate the frequency measurement deviation estimate of the frequency measurement satellite according to the real frequency of the calibration signal, the frequency measurement matrix of the frequency measurement satellite, the frequency measurement times and the state matrix Therefore, using the estimated value of the frequency measurement deviation to correct the frequency measurement information of the frequency measurement satellite on the ground radiation source, the accurate frequency measurement and accurate positioning of the ground radiation source by the frequency measurement satellite can be realized. In order to make the objectives, technical solutions and advantages of the present invention clearer, the embodiments of the present invention will be further described in detail below with reference to the accompanying drawings.
图1为本发明一个实施例提供的一种星载测频定位误差源在轨标校方法的流程示意图。如图1所示,该方法包括:FIG. 1 is a schematic flowchart of a method for on-orbit calibration of an on-orbit calibration error source for on-board frequency measurement and positioning provided by an embodiment of the present invention. As shown in Figure 1, the method includes:
步骤S110,在测频卫星的波束覆盖范围内选取标校站,控制标校站发射处于测频卫星工作频段范围内的标校信号。Step S110, select a calibration station within the beam coverage of the frequency measurement satellite, and control the calibration station to transmit a calibration signal within the working frequency band of the frequency measurement satellite.
本实施例中,需要在测频卫星的波束覆盖范围内选取一个合适的标校站,控制标校站发射处于测频卫星工作频段范围内的标校信号以保证标校信号可以被测频卫星获取到,同时确保测频卫星在足够长的弧段内均可接收到标校信号。In this embodiment, it is necessary to select a suitable calibration station within the beam coverage of the frequency measurement satellite, and control the calibration station to transmit the calibration signal within the working frequency band of the frequency measurement satellite to ensure that the calibration signal can be used by the frequency measurement satellite. Obtained, and at the same time ensure that the frequency measurement satellite can receive the calibration signal within a long enough arc.
步骤S120,控制测频卫星对标校信号进行多次频率测量,获得标校信号的频率测量矩阵。Step S120, controlling the frequency measurement satellite to perform multiple frequency measurements on the calibration signal to obtain a frequency measurement matrix of the calibration signal.
本实施例中的测量次数不做具体限定,大于等于1次均可。The number of measurements in this embodiment is not specifically limited, and may be greater than or equal to one.
步骤S130,根据标校站在地心固连坐标系中的位置矢量、测频卫星在地心固连坐标系中的位置矢量、相对速度矢量,计算标校信号的状态矩阵。Step S130: Calculate the state matrix of the calibration signal according to the position vector of the calibration station in the fixed coordinate system of the earth's center, the position vector of the frequency measurement satellite in the fixed coordinate system of the earth's center, and the relative velocity vector.
步骤S140,根据标校信号的真实频率、频率测量矩阵、频率测量次数和状态矩阵,计算测频卫星的测频偏差估计值。Step S140: Calculate the frequency measurement deviation estimate value of the frequency measurement satellite according to the real frequency of the calibration signal, the frequency measurement matrix, the frequency measurement times and the state matrix.
获得测频偏差估计值后,在一定时间内就可以将该测频偏差估计值标校长期偏移误差,结合地面对短期漂移误差的标校,当测频卫星进行地面辐射源测频时,对测频卫星对地面辐射源的频率测量信息进行补偿修正,提高对地面低速或静止辐射源的测频精度与定位精度。可见,本发明采用测频定位误差源在轨标校的方式进行长期漂移误差的消除,提高测频卫星对地面辐射源的测频的准确度,进而提高对地面辐射源的定位精度。After obtaining the estimated value of the frequency measurement deviation, the long-term offset error can be calibrated with the estimated value of the frequency measurement deviation within a certain period of time. Combined with the calibration of the short-term drift error on the ground, when the frequency measurement satellite performs frequency measurement of the ground radiation source. , to compensate and correct the frequency measurement information of the ground radiation source by the frequency measurement satellite, and improve the frequency measurement accuracy and positioning accuracy of the ground low-speed or stationary radiation source. It can be seen that the present invention uses the method of frequency measurement positioning error source on-orbit calibration to eliminate long-term drift error, and improves the frequency measurement accuracy of the ground radiation source by the frequency measurement satellite, thereby improving the positioning accuracy of the ground radiation source.
在本发明的一个实施例中,步骤S120中的控制测频卫星对标校信号进行多次频率测量,获得标校信号的频率测量矩阵F为:In an embodiment of the present invention, the control frequency measurement satellite in step S120 performs multiple frequency measurements on the calibration signal, and the frequency measurement matrix F obtained for the calibration signal is:
F=[fd1,fd2,…,fdN]T,F=[f d1 , f d2 , ..., f dN ] T ,
其中,fdi(i=1,…,N)为测频卫星对标校信号的N次频率测量值,N取大于1的整数。Among them, f di (i=1, . . . , N) is the frequency measurement value of N times of the calibration signal by the frequency measurement satellite, and N is an integer greater than 1.
图2为本发明一个实施例提供的地心固连坐标系下的测频卫星与标校站的位置关系示意图。如图2所示,简化地球模型为正球体,正球体的圆心为地心固连坐标系Se的中心O。FIG. 2 is a schematic diagram of a positional relationship between a frequency measurement satellite and a calibration station in a fixed geocentric coordinate system according to an embodiment of the present invention. As shown in Figure 2, the simplified earth model is a perfect sphere, and the center of the perfect sphere is the center O of the geocentric fixed coordinate system Se.
令标校站B(静止)在地心固连系中的位置矢量为rb,卫星S在地心固连系中的位置矢量与相对速度矢量分别为rs、vs。则标校信号到达卫星S的多普勒频率fd为:Let the position vector of the calibration station B (stationary) in the geocentric fixed connection be r b , and the position vector and relative velocity vector of the satellite S in the geocentric fixed connection are rs s and v s , respectively. Then the Doppler frequency f d of the calibration signal reaching the satellite S is:
其中,ωE为地球自转角速度矢量,c为光速,fb为标校站实际辐射频率。可以证明,Among them, ω E is the angular velocity vector of the earth's rotation, c is the speed of light, and f b is the actual radiation frequency of the calibration station. can prove,
(rb-rs)·((ωE×rb)-(vs+ωE×rs))=-(rb-rs)·vs (r b -rs )·((ω E ×r b )-(v s +ω E × rs ))=-(r b -rs )·v s
那么上述公式可以简化为:Then the above formula can be simplified to:
fd=fb(1+usb·vs/c)f d =f b (1+us b · v s /c)
usb=(rb-rs)/||rb-rs||u sb =(r b -rs )/||r b -rs ||
由于作为卫星S中数字接收机频率源的晶振的不稳定特性,导致卫星S对标校信号到达频率的测量存在多方面测量误差,即长期漂移误差、短期漂移误差和随机误差。其中,长期漂移误差是时间的函数,是随器件老化而形成的缓变过程,在一定时间内可认为是固定偏差,并可定期进行在轨标校;短期漂移误差是晶振温度的函数,随着晶振温度而不断变化,可以通过地面事先测量进行标校、补偿;随机误差表现为高斯白噪声,无法进行补偿。Due to the unstable characteristics of the crystal oscillator as the frequency source of the digital receiver in the satellite S, there are many measurement errors in the measurement of the arrival frequency of the calibration signal by the satellite S, namely long-term drift error, short-term drift error and random error. Among them, the long-term drift error is a function of time, which is a slowly changing process formed with the aging of the device. It can be regarded as a fixed deviation within a certain period of time, and can be calibrated regularly on-orbit; The temperature of the crystal oscillator changes continuously, and it can be calibrated and compensated through the ground measurement in advance; the random error is expressed as Gaussian white noise, which cannot be compensated.
在短期漂移误差经过地面标校进行补偿之后,卫星S对标校信号到达频率的测量将不存在短期漂移误差,只有长期漂移误差与随机误差。那么,对标校信号N次测量可以表示为:After the short-term drift error is compensated by ground calibration, the measurement of the arrival frequency of the calibration signal by the satellite S will have no short-term drift error, but only long-term drift error and random error. Then, the N measurements of the calibration signal can be expressed as:
fdi=fb(1+usbi·vsi/c)+Δ+εi i=1,2,…,Nf di =f b (1+u sbi ·v si /c)+Δ+ε i i=1, 2,...,N
usbi=(rb-rsi)/||rb-rsi|| i=1,2,…,Nu sbi =(r b -r si )/||r b -r si || i=1, 2, . . . , N
其中,rsi、vsi可以由卫星的GPS数据实时获得,Δ在短时间内为固定的测频偏差,εi为测频随机误差(为高斯白噪声),将上述公式进行简单变换后写成矩阵形式为:Among them, r si and v si can be obtained in real time from the GPS data of the satellite, Δ is the fixed frequency measurement deviation in a short time, and ε i is the random frequency measurement error (which is Gaussian white noise). The above formula is simply transformed and written as The matrix form is:
F-Gfb=CΔ+EF-Gf b =CΔ+E
其中,C为全1的N×1维矩阵,Among them, C is an N×1 dimensional matrix of all 1s,
F=[fd1,fd2,…,fdN]T F=[f d1 , f d2 , ..., f dN ] T
G=[g1,g2,…,gN]T G=[g 1 , g 2 , ..., g N ] T
E=[ε1,ε2,…εN]T E=[ε 1 , ε 2 , . . . ε N ] T
gi=1+usbi·vsi/c i=1,2,…,Ng i =1+u sbi ·v si /ci=1,2,...,N
那么,测频偏差Δ的估计值可表示为:Then, the estimated value of the frequency measurement deviation Δ can be expressed as:
从上述推倒中可知,测频卫星测得的频率测量数据和测频卫星的位置矢量、相对速度矢量、标校站的位置矢量有方程关系。It can be seen from the above deduction that the frequency measurement data measured by the frequency measurement satellite has an equation relationship with the position vector, relative velocity vector, and position vector of the calibration station of the frequency measurement satellite.
如果获得卫星S在不同时刻的位置矢量、相对速度矢量以及标校站的位置矢量得到状态矩阵,然后通过上述公式建立状态矩阵和测频卫星测得的频率测量信息的关系,就可以获得测频偏差估计值 If the position vector, relative velocity vector and the position vector of the calibration station of the satellite S at different times are obtained to obtain the state matrix, and then the relationship between the state matrix and the frequency measurement information measured by the frequency measurement satellite is established by the above formula, the frequency measurement can be obtained. Bias estimate
在本发明的一个实施例中,步骤S130中的根据标校站在地心固连坐标系中的位置矢量、测频卫星在地心固连坐标系中的位置矢量、相对速度矢量,计算标校信号的状态矩阵包括:In an embodiment of the present invention, in step S130, according to the position vector of the calibration station in the fixed coordinate system of the earth's center, the position vector of the frequency measurement satellite in the fixed coordinate system of the earth's center, and the relative velocity vector, the standard is calculated. The state matrix of the calibration signal includes:
接收测频卫星的GPS数据,根据GPS数据获得测频卫星在不同时刻的位置矢量rsi和相对速度矢量vsi,则有Receive the GPS data of the frequency measurement satellite, and obtain the position vector r si and the relative velocity vector v si of the frequency measurement satellite at different times according to the GPS data, there are
usbi=(rb-rsi)/||rb-rsi|| i=1,2,…,Nu sbi =(r b -r si )/||r b -r si || i=1, 2, . . . , N
gi=1+usbi·vsi/c i=1,2,…,Ng i =1+u sbi ·v si /ci=1,2,...,N
标校信号的状态矩阵G为:The state matrix G of the calibration signal is:
G=[g1,g2,…,gN]T G=[g 1 , g 2 , ..., g N ] T
其中,c为光速;rb为标校站的位置矢量。Among them, c is the speed of light; r b is the position vector of the calibration station.
则步骤S140中的根据标校信号的真实频率、频率测量矩阵、频率测量次数N和状态矩阵,计算测频卫星的测频偏差估计值包括:Then in step S140, according to the real frequency of the calibration signal, the frequency measurement matrix, the frequency measurement times N and the state matrix, calculating the estimated value of the frequency measurement deviation of the frequency measurement satellite includes:
根据标校信号的真实频率、频率测量矩阵、频率测量次数N和状态矩阵,由测频偏差估计公式计算测频卫星的测频偏差估计值其中,测频偏差估计公式为:According to the real frequency of the calibration signal, the frequency measurement matrix, the frequency measurement times N and the state matrix, the frequency measurement deviation estimation value of the frequency measurement satellite is calculated by the frequency measurement deviation estimation formula Among them, the frequency measurement deviation estimation formula is:
其中,C为N×1维的单位矩阵,F为频率测量矩阵;G为状态矩阵;fb为标校信号的真实频率;N为频率测量次数。Among them, C is the unit matrix of N×1 dimension, F is the frequency measurement matrix; G is the state matrix; f b is the real frequency of the calibration signal; N is the frequency measurement times.
如上文说明中,获得测频偏差估计值后,在一定时间内就可以将该测频偏差估计值标校长期偏移误差,结合地面对短期漂移误差的标校,当测频卫星进行地面辐射源测频时,对测频卫星对地面辐射源的频率测量信息进行补偿修正,提高对地面低速或静止辐射源的测频精度与定位精度。在本发明的一个实施例中,图1所示的方法进一步包括:As described above, after obtaining the estimated value of frequency measurement deviation, the long-term offset error can be calibrated with the estimated value of frequency measurement deviation within a certain period of time. Combined with the calibration of the short-term drift error on the ground, when the frequency measurement satellite performs ground When measuring the frequency of the radiation source, the frequency measurement information of the ground radiation source by the frequency measuring satellite is compensated and corrected to improve the frequency measurement accuracy and positioning accuracy of the ground low-speed or stationary radiation source. In one embodiment of the present invention, the method shown in FIG. 1 further includes:
使用测频偏差估计值校正测频卫星对地面辐射源的频率测量信息,获得校正后的频率测量信息并输出。Correct the frequency measurement information of the ground radiation source by the frequency measurement satellite by using the estimated value of the frequency measurement deviation, and obtain the corrected frequency measurement information and output it.
图3为本发明一个实施例提供的一种星载测频定位误差源在轨标校装置的结构示意图。如图3所示,该星载测频定位误差源在轨标校装置300包括:FIG. 3 is a schematic structural diagram of an on-orbit calibration device for on-orbit calibration of an on-board frequency measurement and positioning error source provided by an embodiment of the present invention. As shown in FIG. 3 , the on-orbit calibration device 300 of the on-orbit calibration error source of the on-board frequency measurement and positioning includes:
标校站选取单元310,用于在测频卫星的波束覆盖范围内选取标校站,控制标校站发射处于测频卫星工作频段范围内的标校信号;The calibration station selection unit 310 is used to select the calibration station within the beam coverage of the frequency measurement satellite, and controls the calibration station to transmit the calibration signal within the frequency measurement satellite operating frequency band;
频率测量矩阵获取单元320,用于控制测频卫星对标校信号进行多次频率测量,获得标校信号的频率测量矩阵;The frequency measurement matrix acquisition unit 320 is used to control the frequency measurement satellite to perform multiple frequency measurements on the calibration signal to obtain a frequency measurement matrix of the calibration signal;
状态矩阵计算单元330,用于根据标校站在地心固连坐标系中的位置矢量、测频卫星在地心固连坐标系中的位置矢量、相对速度矢量,计算标校信号的状态矩阵;The state matrix calculation unit 330 is used to calculate the state matrix of the calibration signal according to the position vector of the calibration station in the fixed coordinate system of the earth's center, the position vector of the frequency measurement satellite in the fixed coordinate system of the earth's center, and the relative velocity vector ;
测频偏差估计值计算单元340,用于根据标校信号的真实频率、频率测量矩阵、频率测量次数和状态矩阵,计算测频卫星的测频偏差估计值。The frequency measurement deviation estimation value calculation unit 340 is configured to calculate the frequency measurement deviation estimation value of the frequency measurement satellite according to the real frequency of the calibration signal, the frequency measurement matrix, the frequency measurement times and the state matrix.
在本发明的一个实施例中,频率测量矩阵获取单元320控制测频卫星对所述标校信号进行多次频率测量,获得的标校信号的频率测量矩阵F为:In an embodiment of the present invention, the frequency measurement matrix obtaining unit 320 controls the frequency measurement satellite to perform multiple frequency measurements on the calibration signal, and the obtained frequency measurement matrix F of the calibration signal is:
F=[fd1,fd2,…,fdN]T,F=[f d1 , f d2 , ..., f dN ] T ,
其中,fdi(i=1,…,N)为测频卫星对标校信号的N次频率测量值,N取大于1的整数。Wherein, f di (i=1, . . . , N) is the N frequency measurement value of the calibration signal by the frequency measurement satellite, and N is an integer greater than 1.
在本发明的一个实施例中,状态矩阵计算单元330,用于接收测频卫星的GPS数据,根据GPS数据获得测频卫星在不同时刻的位置矢量rsi和相对速度矢量vsi,则有In an embodiment of the present invention, the state matrix calculation unit 330 is configured to receive GPS data of the frequency measurement satellite, and obtain the position vector rs si and the relative velocity vector v si of the frequency measurement satellite at different times according to the GPS data, there are
usbi=(rb-rsi)/||rb-rsi|| i=1,2,…,Nu sbi =(r b -r si )/||r b -r si || i=1, 2, . . . , N
gi=1+usbi·vsi/c i=1,2,…,Ng i =1+u sbi ·v si /ci=1,2,...,N
标校信号的状态矩阵G为:The state matrix G of the calibration signal is:
G=[g1,g2,…,gN]T G=[g 1 , g 2 , ..., g N ] T
其中,c为光速;rb为标校站的位置矢量。Among them, c is the speed of light; r b is the position vector of the calibration station.
在本发明的一个实施例中,测频误差计算单元340,用于根据标校信号的真实频率、频率测量矩阵、频率测量次数和状态矩阵,由测频偏差估计公式计算测频卫星的测频偏差估计值其中,测频偏差估计公式为:In an embodiment of the present invention, the frequency measurement error calculation unit 340 is configured to calculate the frequency measurement of the frequency measurement satellite by the frequency measurement deviation estimation formula according to the real frequency of the calibration signal, the frequency measurement matrix, the frequency measurement times and the state matrix Bias estimate Among them, the frequency measurement deviation estimation formula is:
其中,C为N×1维的单位矩阵,F为频率测量矩阵;G为状态矩阵;fb为标校信号的真实频率;N为频率测量次数。Among them, C is the unit matrix of N×1 dimension, F is the frequency measurement matrix; G is the state matrix; f b is the real frequency of the calibration signal; N is the frequency measurement times.
在本发明的一个实施例中,图3所示的装置进一步包括:校正单元,用于使用测频偏差估计值校正测频卫星对地面辐射源的频率测量信息,获得校正后的频率测量信息并输出。In an embodiment of the present invention, the apparatus shown in FIG. 3 further includes: a correction unit, configured to correct the frequency measurement information of the ground radiation source by the frequency measurement satellite by using the frequency measurement deviation estimate value, obtain the corrected frequency measurement information and output.
图3所示的星载测频定位误差源在轨标校装置可应用于地面运控及数据处理系统中,并且适用于功能简单、成本低的皮纳卫星测频定位标校,以提高测频、定位精度。The on-orbit calibration device for on-board frequency measurement and positioning error source shown in Figure 3 can be applied to ground operation control and data processing systems, and is suitable for Pina satellite frequency measurement and calibration calibration with simple functions and low cost, so as to improve the accuracy of measurement and calibration. frequency and positioning accuracy.
需要说明的是,图3所示的装置与图1所示方法的各实施例对应相同,上文已有详细说明,在此不再赘述。It should be noted that the apparatus shown in FIG. 3 corresponds to each embodiment of the method shown in FIG. 1 , which has been described in detail above and will not be repeated here.
图4为本发明一个实施例提供的一种星载测频定位误差源在轨标校的实施应用系统示意图。如图4所示,本应用系统包括卫星、地面标校站和地面运控及数据处理系统。地面标校站和地面运控及数据处理系统包括有图3所示的星载测频定位误差源在轨标校装置。FIG. 4 is a schematic diagram of an implementation and application system for on-orbit calibration of a spaceborne frequency measurement and positioning error source provided by an embodiment of the present invention. As shown in Figure 4, the application system includes satellite, ground calibration station, ground operation control and data processing system. The ground calibration station and the ground operation control and data processing system include the on-orbit calibration device for the on-orbit calibration of the satellite-borne frequency measurement and positioning error source shown in Figure 3.
为使本发明的技术效果更加明显,下面将通过本发明技术方案的仿真结果进行说明。在仿真实验中,首先利用本发明提出的星载测频定位误差源在轨标校方法实施,然后通过Monto-Carlo方法给出测频偏差的估计误差统计结果。In order to make the technical effect of the present invention more obvious, the following will describe the simulation results of the technical solution of the present invention. In the simulation experiment, the on-orbit calibration method of the on-orbit error source of the satellite-borne frequency measurement and positioning error source proposed by the present invention is used first, and then the estimated error statistical result of the frequency measurement deviation is given by the Monto-Carlo method.
令测频卫星轨道为500km高的太阳同步轨道,侦收天线覆盖地面波束宽度为120度,地面标校站的经纬度为(143°,31.25°),图5为本发明一个实施例提供的一种测频卫星星下点轨迹与标校站的位置关系,如图5所示,该标校站在测频卫星星下点轨迹的左侧。Let the orbit of the frequency measurement satellite be a sun-synchronous orbit with a height of 500km, the width of the ground beam covered by the detection antenna is 120 degrees, and the longitude and latitude of the ground calibration station is (143°, 31.25°). The positional relationship between the sub-satellite point trajectory of the frequency measurement satellite and the calibration station, as shown in Figure 5, the calibration station is on the left side of the sub-satellite point trajectory of the frequency measurement satellite.
令卫星位置自定位误差5m(1σ)、速度自定位误差0.1m/s(1σ),测频随机误差为1kHz(1σ),由长期漂移引起的真实测频偏差为10kHz,卫星接收标校信号的观测时间为200s,1s给出一次测频结果,地面标校站的真实辐射频率为2.7GHz。通过仿真计算,可以得到测频偏差的估计值为9.96kHz,与真实值10kHz非常接近。图6为本发明一个实施例提供的一种标校信号到达测频卫星的真实到达频率与测频卫星的测量频率曲线图。如图6所示,标校前测量频率与真实到达频率始终存在固定偏差,而利用测频偏差估计值获得的标校后的测量频率始终围绕真实到达频率上下波动,可认为其波动范围由测频随机误差引起。Let the self-positioning error of satellite position be 5m (1σ), the self-positioning error of velocity is 0.1m/s (1σ), the random error of frequency measurement is 1kHz (1σ), the real frequency measurement error caused by long-term drift is 10kHz, and the satellite receives the calibration signal. The observation time is 200s, and a frequency measurement result is given in 1s. The real radiation frequency of the ground calibration station is 2.7GHz. Through simulation calculation, it can be obtained that the estimated value of the frequency measurement deviation is 9.96kHz, which is very close to the real value of 10kHz. FIG. 6 is a graph showing a real arrival frequency of a calibration signal arriving at a frequency measurement satellite and a measurement frequency of the frequency measurement satellite according to an embodiment of the present invention. As shown in Figure 6, there is always a fixed deviation between the measured frequency before calibration and the real arrival frequency, while the measured frequency after calibration obtained by using the estimated value of the frequency measurement deviation always fluctuates around the real arrival frequency, and it can be considered that its fluctuation range is determined by the measurement frequency random errors.
采用Monto-Carlo方法进行测频偏差的估计误差统计(仿真10000次),获得估计误差的标准差为70.7Hz(1σ),可见,估计精度非常高。那么,利用本发明进行的测频偏差估计值进行测频卫星对地面辐射源的测频信息的标校后,可以获得准确的测量频率值,进而进行地面辐射源的准确定位。The Monto-Carlo method is used to perform the estimation error statistics of the frequency measurement deviation (simulation 10,000 times), and the standard deviation of the estimation error is 70.7 Hz (1σ). It can be seen that the estimation accuracy is very high. Then, after using the frequency measurement deviation estimated value of the present invention to calibrate the frequency measurement information of the ground radiation source by the frequency measurement satellite, an accurate measurement frequency value can be obtained, and then the ground radiation source can be accurately positioned.
综上所述,本发明的技术方案采用在轨标校的方式进行长期漂移误差的消除,通过在测频卫星波束覆盖范围内选取合适的标校站,并控制该标校站发射处于测频卫星工作频段范围内的标校信号,确保测频卫星具有足够长的弧段可以接收到标校信号;通过控制测频卫星对标校站的标校信号进行多次频率测量后,获得标校信号的频率测量矩阵;根据标校站在地心固连坐标系中的位置矢量、测频卫星的位置矢量、相对速度矢量,计算标校信号的状态矩阵;根据标校信号的真实频率、频率测量矩阵、频率测量次数和状态矩阵,计算测频卫星的测频偏差估计值,从而使用该测频偏差估计值校正测频卫星对地面辐射源的测频信息,获得校正后的频率测量信息并输出,以消除长期漂移误差对测频误差及定位误差的影响,提高测频卫星对地面辐射源的测频精度和定位精度。To sum up, the technical solution of the present invention adopts the method of on-orbit calibration to eliminate the long-term drift error, by selecting a suitable calibration station within the coverage of the frequency measurement satellite beam, and controlling the calibration station to transmit at the frequency measurement frequency. The calibration signal within the working frequency range of the satellite ensures that the frequency measurement satellite has a long enough arc to receive the calibration signal; after the frequency measurement satellite is controlled to perform multiple frequency measurements on the calibration signal of the calibration station, the calibration signal is obtained. The frequency measurement matrix of the signal; according to the position vector of the calibration station in the fixed coordinate system of the earth's center, the position vector of the frequency measurement satellite, and the relative velocity vector, the state matrix of the calibration signal is calculated; according to the real frequency and frequency of the calibration signal The measurement matrix, frequency measurement times and status matrix are used to calculate the frequency measurement deviation estimate of the frequency measurement satellite, so as to use the frequency measurement deviation estimate to correct the frequency measurement information of the ground radiation source by the frequency measurement satellite, and obtain the corrected frequency measurement information. output, in order to eliminate the influence of long-term drift error on the frequency measurement error and positioning error, and improve the frequency measurement accuracy and positioning accuracy of the frequency measurement satellite to the ground radiation source.
以上所述,仅为本发明的具体实施方式,在本发明的上述教导下,本领域技术人员可以在上述实施例的基础上进行其他的改进或变形。本领域技术人员应该明白,上述的具体描述只是更好的解释本发明的目的,本发明的保护范围应以权利要求的保护范围为准。The above descriptions are only specific embodiments of the present invention, and those skilled in the art can make other improvements or modifications on the basis of the above embodiments under the above teachings of the present invention. Those skilled in the art should understand that the above-mentioned specific description is only for better explaining the purpose of the present invention, and the protection scope of the present invention should be based on the protection scope of the claims.
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| CN111669224B (en) * | 2020-06-02 | 2021-09-07 | 武汉光谷航天三江激光产业技术研究院有限公司 | On-orbit measurement and correction method of aiming deviation for inter-satellite laser communication |
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| CN113359165B (en) * | 2021-06-03 | 2023-03-31 | 中国电子科技集团公司第三十六研究所 | Method and device for jointly positioning radiation sources by multiple satellites and electronic equipment |
| CN113433573B (en) * | 2021-06-03 | 2023-06-02 | 中国电子科技集团公司第三十六研究所 | Method, device and electronic equipment for multi-satellite joint positioning of radiation source |
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