JP2009063531A - Positioning system and positioning method - Google Patents

Abstract

<P>PROBLEM TO BE SOLVED: To realize a highly precise positioning of millimeter class, in a positioning system which carries out the positioning of a location of a receiving device by receiving a radio wave which GPS satellite or the like transmitted. <P>SOLUTION: The radio wave which GPS satellite or the like transmitted is received by a calibration point receiving device 110 and a measuring point receiving device 210. A calibration point pseudo-range calculation device 120 and a measuring point pseudo-range calculation device 220 calculate a pseudo-range, based on the received radio wave. The pseudo-range is corrected by a calibration point pseudo-rang error correction device 160 and a measuring point pseudo-range error correction device 260 based on an error computed by receiving the radio wave which GPS satellite or the like transmitted in an electronic reference point. Based on the corrected pseudo-range, a calibration point calculated position and a measuring position calculated position are calculated by a calibration point position calculation device 170 and a measuring point position calculation device 270. Based on the calculated calibrated point calculation position and the measuring point calculation position, a measuring point relative position is calculated by a measuring point relative position calculation device 340. <P>COPYRIGHT: (C)2009,JPO&INPIT

Description

  The present invention relates to a positioning system that receives a radio wave transmitted by a GPS (Global Positioning System) satellite or the like and measures the position of a receiving device.

In a positioning system that receives radio waves transmitted by GPS satellites and locates the position of the receiving device, the propagation time of the radio waves is calculated from the difference between the time when the GPS satellites etc. transmit the radio waves and the time when the receiving device receives the radio waves. The position of the receiving device is measured by calculating the distance between the GPS satellite and the receiving device from the calculated propagation time.
The distance obtained from the propagation time differs from the actual distance due to various error factors, and affects the accuracy of the positioning result.
For this reason, there is a technique for correcting the error between the distance obtained from the propagation time and the actual distance to improve the accuracy of the positioning result.
For example, a radio wave transmitted by a GPS satellite or the like at an electronic reference point installed at a point different from the measurement point, such as D (Differential) GPS or RTK (Real Time Kinetic) -GPS, and the propagation time of the received radio wave is calculated. Obtain the distance between the GPS satellite and the electronic reference point, and compare the calculated distance with the distance between the GPS satellite and the electronic reference point obtained from the position of the electronic reference point measured in advance. Thus, an error between the distance obtained from the propagation time and the actual distance is obtained.
In addition, since there are error factors depending on the position of the receiving device among the error factors, a plurality of electronic reference points are provided as in the network type RTK-GPS, and the measurement points are determined from the errors obtained at the respective electronic reference points. There is also a technique for estimating the error in.
JP 2006-275882 A JP 2006-226772 A JP 2002-31123 A JP-A-6-167563 JP 7-280913 A Japanese Patent Laid-Open No. 7-280916 JP 2001-116820 A JP 2004-198291 A JP 2004-286600 A JP 2005-77291 A

The error depending on the position of the receiving device cannot be estimated accurately even if the error at the measurement point is estimated from the error obtained at the plurality of electronic reference points. For this reason, an error of about several centimeters remains in the positioning result, for example.
If the distance between the electronic reference point and the measurement point is short, the estimated residual error becomes small, but the installation of the electronic reference point is very expensive.
The present invention has been made to solve the above-described problems, for example, and an object thereof is to realize highly accurate positioning within an error of several millimeters.

The positioning system according to the present invention includes a calibration point receiving device, a calibration point position calculating device, a measuring point receiving device, a measuring point position calculating device, and a measuring point relative position calculating device,
The calibration point receiving device receives radio waves transmitted by a plurality of transmitting devices,
The calibration point position calculating device is based on the radio wave received by the calibration point receiving device and the error calculated by receiving the radio waves respectively transmitted by the plurality of transmitting devices at predetermined positions. Calculate the position of the receiving device and use it as the calibration point calculation position.
The measuring point receiving device receives radio waves transmitted by the plurality of transmitting devices,
The measurement point position calculation device is based on the radio wave received by the measurement point reception device and the error calculated by receiving the radio waves respectively transmitted by the plurality of transmission devices at a predetermined position. Calculate the position of the receiving device and set it as the measurement point calculation position,
The measurement point relative position calculation device is configured to perform the measurement on the calibration point reception device based on the calibration point calculation position calculated by the calibration point position calculation device and the measurement point calculation position calculated by the measurement point position calculation device. The relative position of the point receiving device is calculated, and the relative position of the measurement point is obtained.

  According to the positioning system according to the present invention, based on the radio wave received by the calibration point receiving device and the measurement point receiving device and the error calculated by receiving the same radio wave at a predetermined position, Since the measurement point calculation position is calculated, it is possible to obtain a highly accurate calibration point calculation position and measurement point calculation position, and further, based on the calculated calibration point calculation position and measurement point calculation position, the measurement point relative position is calculated. Since the calculation is performed, errors remaining in the calibration point calculation position and the measurement point calculation position cancel each other, and further, it is possible to obtain a highly accurate measurement point relative position.

Embodiment 1 FIG.
The first embodiment will be described with reference to FIGS.

  FIG. 1 is a system configuration diagram showing an example of the overall configuration of a positioning system 800 in this embodiment.

  The positioning system 800 receives radio waves transmitted by a plurality of transmission devices (hereinafter referred to as “satellite transmission devices”) such as GPS satellites 501 to 504 and the quasi-zenith satellite 511, and the delay time of the received radio waves Is a system for calculating a distance from each of a plurality of satellite transmitters and determining a position where the radio wave is received based on the calculated distance.

  The positioning system 800 includes electronic reference point devices 601 to 604, an electronic reference point counting device 701, a calibration reference point device 101, a calibration reference point counting device 111, a measuring point device 201, and a positioning device 301.

  The electronic reference point devices 601 to 604 are installed at locations whose positions are known. The electronic reference point devices 601 to 604 are installed at intervals of several tens of kilometers, for example. Electronic reference point devices 601 to 604 receive radio waves transmitted by a plurality of satellite transmission devices, respectively.

Since the installation positions of the electronic reference point devices 601 to 604 are known, the geometric distance between the electronic reference point devices 601 to 604 and the satellite transmission device (hereinafter referred to as “geometric distance”) can be obtained. it can.
Further, the distance between the electronic reference point devices 601 to 604 and the satellite transmission device (hereinafter referred to as “pseudo distance”) is obtained based on the propagation time of the radio waves received by the electronic reference point devices 601 to 604. it can.
Since the radio wave transmitted by the satellite transmitter is delayed depending on the state of the ionosphere and the troposphere, the pseudo distance calculated based on the delay time of the radio wave includes an error.
The error of the pseudo distance can be obtained by taking the difference between the geometric distance and the pseudo distance.

The electronic reference point totaling device 701 adds up errors of pseudo distances calculated based on the radio waves received by the electronic reference point devices 601 to 604, and generates surface correction parameters.
The surface correction parameter is a parameter of a function that uses a three-dimensional position coordinate as an argument and obtains an error of a pseudo distance at a position represented by the position coordinate.
Depending on the positional relationship between the satellite transmitter and the receiver that receives the radio wave transmitted by the satellite transmitter, the propagation path of the radio wave transmitted by the satellite transmitter differs, so the ionosphere and troposphere conditions are different, and the radio wave delay time is different. It will change.
For this reason, the error of the pseudo distance is a function of the position of the receiving device.
The electronic reference point totaling device 701 aggregates pseudo-range errors at different locations, estimates the relationship between the position of the receiving device and the pseudo-range error, and calculates a surface correction parameter based on the estimated relationship.

  The measuring point device 201 is installed at a position where positioning is desired. The calibration reference point device 101 is installed near the measurement point device 201 (for example, within several hundred meters to several kilometers). The calibration reference point device 101 and the measurement point device 201 receive radio waves transmitted by transmission devices such as the GPS satellites 501 to 504 and the quasi-zenith satellite 511.

The calibration reference point totaling device 111 uses information such as the position of the calibration reference point device 101 (hereinafter, “calibration point information”) such as the position of the calibration reference point device 101 using a pseudo distance calculated based on the radio wave received by the calibration reference point device 101. ").
The positioning device 301 calculates the relative position of the measurement point device 201 with respect to the calibration reference point device 101.
By correcting the pseudo distance calculated based on the radio waves received by the calibration reference point device 101 and the measurement point device 201 based on the surface correction parameter calculated by the electronic reference point totaling device 701, a more accurate pseudo distance is obtained. be able to. The positions of the calibration reference point device 101 and the measurement point device 201 can be calculated based on the corrected pseudo distance, and the relative position of the measurement point device 201 with respect to the calibration reference point device 101 can be calculated based on the calculated position. .

  FIG. 2 is a block configuration diagram showing an example of the functional block configuration of the electronic reference point devices 601 to 604 and the electronic reference point totaling device 701 in this embodiment.

Each of the electronic reference point devices 601 to 604 includes an electronic reference point reception device 610 and an electronic reference point pseudo distance calculation device 620.
The electronic reference point totaling device 701 includes a satellite position calculation device 630, an electronic reference point position storage device 640, an electronic reference point geometric distance calculation device 650, an electronic reference point pseudo distance error calculation device 660, a surface correction parameter calculation device 710, and surface correction. A parameter transmission device 720 is included.
The electronic reference point pseudo distance calculation device 620 does not necessarily have to be included in the electronic reference point devices 601 to 604, and may be included in the electronic reference point totaling device 701. In addition, the satellite reference position calculation device 630, the electronic reference point position storage device 640, the electronic reference point geometric distance calculation device 650, and the electronic reference point pseudo distance error calculation device 660 do not necessarily have to be included in the electronic reference point totaling device 701. The electronic reference point devices 601 to 604 may be included.

The electronic reference point receiver 610 receives radio waves transmitted by a plurality of satellite transmitters.
In the GPS positioning system, information for predicting the delay time in the ionosphere and information on the orbits of the GPS satellites 501 to 504 (navigation data) are transmitted on the radio waves transmitted by the GPS satellites 501 to 504. . The electronic reference point receiver 610 demodulates the received radio wave and acquires these pieces of information.

The electronic reference point pseudo-range calculation device 620, based on each of the plurality of radio waves received by the electronic reference point reception device 610, the time at which each of the plurality of satellite transmission devices transmits the radio waves received by the electronic reference point reception device 610, The difference (propagation time) from the time when the electronic reference point receiving device 610 received the radio wave transmitted by each of the plurality of satellite transmitting devices is calculated.
The electronic reference point pseudo-range calculation device 620 is configured to simulate between each of the plurality of satellite transmission devices that have transmitted the radio waves received by the electronic reference point reception device 610 and the electronic reference point reception device 610 based on the calculated propagation time. The distance (hereinafter referred to as “electronic reference point pseudorange”) is calculated.
In the GPS positioning system, since the GPS satellites 501 to 504 transmit radio waves with information for predicting the delay time in the ionosphere or the like, the electronic reference point pseudo-range calculation device 620 includes the electronic reference point reception device 610. The electronic reference point pseudo-range is calculated after correction by the delay time predicted based on the acquired information.

The satellite position calculation device 630 calculates the position of the satellite transmission device for each of the plurality of satellite transmission devices that transmitted the radio waves received by the electronic reference point reception device 610.
In the GPS positioning system, since the GPS satellites 501 to 504 transmit radio waves carrying information representing the orbits of the GPS satellites 501 to 504, the satellite position calculation device 630 uses the information acquired by the electronic reference point reception device 610. Based on this, the position of the transmitter is calculated.
Moreover, it is good also as a structure which replaces with the satellite position calculation apparatus 630, provides a satellite position acquisition apparatus, and a satellite position acquisition apparatus acquires the position of each of several satellite transmitters which the other apparatus calculated.

The electronic reference point position storage device 640 stores the position of the electronic reference point reception device 610.
The position of the electronic reference point receiving device 610 stored in the electronic reference point position storage device 640 is obtained in advance by another method such as surveying, and the accurate position (for example, error) of the electronic reference point receiving device 610 is obtained. 1 mm or less).

  The electronic reference point geometric distance calculation device 650 is based on the position of each of the plurality of satellite transmission devices calculated by the satellite position calculation device 630 and the position of the electronic reference point reception device 610 stored by the electronic reference point position storage device 640. The geometric distance between each of the plurality of satellite transmitters and the electronic reference point receiver 610 (hereinafter referred to as “electronic reference point geometric distance”) is calculated.

  The electronic reference point pseudo distance error calculation device 660 is based on the electronic reference point pseudo distance calculated by the electronic reference point pseudo distance calculation device 620 and the electronic reference point geometric distance calculated by the electronic reference point geometric distance calculation device 650. The pseudo-range error at the place where the electronic reference point receiver 610 is installed (hereinafter referred to as “electronic reference point pseudo-range error”) is calculated. The electronic reference point pseudo-range calculation device 620 and the electronic reference point geometric distance calculation device 650 correspond to the plurality of satellite transmission devices that respectively transmitted the plurality of radio waves received by the electronic reference point reception device 610, respectively. The point pseudorange and the electronic reference point geometric distance are calculated. Similarly, the electronic reference point pseudo-range error calculation device 660 calculates a plurality of electronic reference point pseudo-range errors corresponding to each of the plurality of satellite transmission devices that transmitted the radio waves received by the electronic reference point reception device 610.

The surface correction parameter calculation device 710 calculates a surface correction parameter (FKP) based on the electronic reference point pseudorange error calculated by the electronic reference point pseudorange error calculation device 660.
The surface correction parameter is different for each satellite transmitter. The surface correction parameter calculation device 710 acquires electronic reference point pseudorange errors from the electronic reference point devices 601 to 604 and classifies them for each satellite transmission device. The surface correction parameter calculation device 710 calculates a surface correction parameter corresponding to each of the plurality of satellite transmission devices from the classified electronic reference point pseudorange error.

The surface correction parameter transmitting device 720 transmits the surface correction parameter calculated by the surface correction parameter calculating device 710 to the calibration reference point totaling device 111, the positioning device 301, and the like.
In this example, the electronic reference point totaling device 701 transmits surface correction parameters to the calibration reference point totaling device 111, the positioning device 301, and the like, and the calibration reference point totaling device 111 and the positioning that have received the transmitted surface correction parameters. The device 301 or the like obtains an error of the pseudo distance from the position information based on the received surface correction parameter. However, the calibration reference point totaling device 111, the positioning device 301, and the like transmit their own position information to the electronic reference point totaling device 701, and the electronic reference point totaling device 701 that has received the transmitted position information uses the surface correction parameters. Based on the received position information, a pseudo distance error may be obtained, and the obtained pseudo distance error may be returned to the calibration reference point totaling device 111, the positioning device 301, or the like.

  Next, an example of the principle by which the surface correction parameter calculation device 710 calculates surface correction parameters will be described.

  The relationship represented by the following observation equation is established between the electronic reference point pseudo-range calculated by the electronic reference point pseudo-range calculation device 620 and the electronic reference point geometric distance.

Here, the subscript r is an electronic reference point device 601 to 604, the subscript i is a satellite transmitter, and the subscript s is for distinguishing the type of carrier (for example, L1, L2, etc.). PR is the pseudorange, λ is the wavelength of the carrier wave, φ is the phase amount observed by the electronic reference point devices 601 to 604, and the vector R is the relative position vector (vector R) between the electronic reference point devices 601 to 604 and the satellite transmitter. absolute geometric distance between the electronic reference point device 601 to 604 and the satellite transmission device representing the (electronic reference point geometric distance)), N is Anbigyiti, c is the speed of light, .DELTA.t _r electronic reference point 601 ～604 clock bias, .DELTA.t ⁱ is the satellite transmission device clock bias, orbit error vector vector δo satellite transmission device, .delta.I the ionospheric delay, f is the carrier frequency,? T is troposphere delay, epsilon is the observation noise is there.

  From the definition, the correction amount PRC of the pseudo distance is

Therefore, when substituting into Equation 1, the following relationship is established.

This correction value depends on the reception position.
Next, when the pseudo distance calculated from the radio wave received by the calibration reference point device 101 or the measurement point device 201 at a place other than the electronic reference point devices 601 to 604 is corrected with the correction value of Equation 3,

  Here, the subscript u is used to distinguish the calibration reference point device 101 and the measurement point device 201. CPR is the corrected pseudorange.

  From Equation 1, Equation 3, and Equation 4,

  In Equation 5, when the position-dependent term is D,

  here,

The surface correction parameter calculation device 710 estimates a position-dependent error factor and a position-independent error factor from the electronic reference point distance errors calculated by the electronic reference point devices 601 to 604. Further, the surface correction parameter calculation device 710 estimates a function of the reception position with respect to an error factor that depends on the position.
The surface correction parameter calculation device 710 calculates a parameter of a function for obtaining an estimated error factor from the reception position and sets it as a surface correction parameter.

  If the error factor depending on the position estimated by the surface correction parameter calculation device 710 is D hat and the estimation error is P bar,

Therefore, the corrected pseudo distance CPR is as follows.

  Of these, the ambiguity N can be obtained for each calibration reference point device 101 and measurement point device 201, so that the remaining portion becomes the error of the corrected pseudorange. The error in the pseudo distance after correction is, for example, about several centimeters.

  FIG. 3 is a block configuration diagram showing an example of the functional block configuration of the calibration reference point device 101, the measurement point device 201, and the positioning device 301 in this embodiment.

The calibration reference point device 101 includes a calibration point receiving device 110 and a calibration point pseudo distance calculating device 120.
The calibration reference point counting device 111 includes a satellite position calculation device 130, a calibration point temporary position calculation device 140, a calibration point pseudo distance error estimation device 150, a calibration point pseudo distance error correction device 160, a calibration point position calculation device 170, and calibration point information. A transmission device 175 is included.
The measurement point device 201 includes a measurement point reception device 210 and a measurement point pseudo distance calculation device 220.
The positioning device 301 includes a satellite position calculation device 230, a measurement point temporary position calculation device 240, a surface correction parameter reception device 322, a measurement point pseudo distance error estimation device 250, a measurement point pseudo distance error correction device 260, and a measurement point position calculation device 270. A calibration point information receiving device 275, a measurement point relative position calculation device 340, and a measurement point relative position display device 390.
The calibration point pseudo distance calculation device 120 is not necessarily required to be included in the calibration reference point device 101, and may be included in the calibration reference point counting device 111. Similarly, the measurement point pseudo distance calculation device 220 is not necessarily required to be included in the measurement point device 201, and may be included in the positioning device 301. Further, the satellite position calculation device 130, the calibration point temporary position calculation device 140, the surface correction parameter reception device 321, the calibration point pseudo distance error estimation device 150, the calibration point pseudo distance error correction device 160, and the calibration point position calculation device 170 are not necessarily provided. The calibration reference point counting device 111 does not need to have, and the calibration reference point device 101 may have. Similarly, the satellite position calculation device 230, the measurement point temporary position calculation device 240, the surface correction parameter reception device 322, the measurement point pseudo distance error estimation device 250, the measurement point pseudo distance error correction device 260, and the measurement point position calculation device 270 are: The positioning device 301 does not necessarily have, and the measurement point device 201 may have it.
Further, the calibration reference point device 101 and the calibration reference point counting device 111 may be one device, and the measurement point device 201 and the positioning device 301 may be one device. Alternatively, the calibration reference point totaling device 111 and the positioning device 301 may be one device.

  The calibration point receiving device 110 and the measurement point receiving device 210 receive radio waves transmitted by a plurality of satellite transmission devices.

The calibration point pseudo distance calculating device 120 calculates the propagation time of the radio wave received by the calibration point receiving device 110 based on each of the plurality of radio waves received by the calibration point receiving device 110. The calibration point pseudo distance calculation device 120 is configured to calculate a pseudo distance (hereinafter referred to as “pseudo distance”) between each of the plurality of satellite transmission devices that transmit the radio waves received by the calibration point reception device 110 and the calibration point reception device 110 based on the calculated propagation time. (Referred to as “calibration point pseudorange”).
Similarly, the measurement point pseudo-range calculation device 220 receives a plurality of satellite transmission devices that transmit the radio waves received by the measurement point reception device 210 based on the plurality of radio waves received by the measurement point reception device 210, and the measurement point reception. A pseudo distance to the apparatus 210 (hereinafter referred to as “measurement point pseudo distance”) is calculated.

The satellite position calculation device 130 calculates the position of the satellite transmission device for each of the plurality of satellite transmission devices that have transmitted the radio waves received by the calibration point reception device 110.
Similarly, the satellite position calculation device 230 calculates the position of the satellite transmission device for each of the plurality of satellite transmission devices that have transmitted the radio waves received by the measurement point reception device 210.
It should be noted that a satellite position acquisition device is provided instead of the satellite position calculation devices 130 and 230, and the position of each of the plurality of satellite transmission devices calculated by other devices such as the electronic reference point totaling device 701 is determined by the satellite position acquisition device. The configuration may be such that the data is acquired from another device such as the counting device 701.

The calibration point temporary position calculation device 140 receives the calibration points based on the plurality of calibration point pseudo distances calculated by the calibration point pseudo distance calculation device 120 and the positions of the plurality of transmission devices calculated by the satellite position calculation device 130. The position of the apparatus 110 (hereinafter referred to as “calibration point temporary position”) is calculated.
Since the calibration point pseudo distance calculated by the calibration point pseudo distance calculation device 120 includes an error, the accuracy of the calibration point temporary position calculated by the calibration point temporary position calculation device 140 is about several tens of centimeters to several meters.
Similarly, the measurement point temporary position calculation device 240 performs measurement based on the plurality of measurement point pseudo distances calculated by the measurement point pseudo distance calculation device 220 and the positions of the plurality of transmission devices calculated by the satellite position calculation device 230. The position of the point receiving device 210 (hereinafter referred to as “measurement point temporary position”) is calculated.

  The surface correction parameter receiving devices 321 and 322 receive the surface correction parameter transmitted by the surface correction parameter transmitting device 720.

The calibration point pseudo distance error estimation device 150 is based on the calibration point temporary position calculated by the calibration point temporary position calculation device 140, and each of the errors (hereinafter referred to as “the calibration point pseudo distance calculation device 120” calculated by the calibration point pseudo distance calculation device 120). This is referred to as “calibration point pseudorange error estimate”.
For example, the calibration point pseudorange error estimation device 150 calculates a function for calculating the pseudorange error from the reception position corresponding to each of the plurality of satellite transmission devices based on the surface correction parameter received by the surface correction parameter reception device 321. Ask. The calibration point pseudo-range error estimation device 150 uses the obtained function based on the calibration point temporary position calculated by the calibration point temporary position calculation device 140 to simulate the calibration point temporary position corresponding to each of the plurality of satellite transmission devices. A distance error is calculated and used as a calibration point pseudo distance error estimate.
Similarly, the measurement point pseudo-range error estimation device 250 similarly uses the error of each of the plurality of measurement point pseudo-ranges calculated by the measurement point pseudo-range calculation device 220 based on the measurement point temporary position calculated by the measurement point temporary position calculation device 240 ( Hereinafter, it is referred to as “measurement point pseudo-range error estimated value”).

The calibration point pseudo distance error correction device 160 is based on a plurality of calibration point pseudo distance error estimation values estimated by the calibration point pseudo distance error estimation device 150, and a plurality of calibration point pseudo distances calculated by the calibration point pseudo distance calculation device 120. Are corrected to be corrected calibration point corrected pseudo distances.
For example, the calibration point pseudorange error correction device 160 is calculated by the calibration point pseudorange error estimation device 150 from the calibration point pseudorange calculated by the calibration point pseudorange calculation device 120 corresponding to each of the plurality of satellite transmission devices. The calibration point corrected pseudo distance is obtained by subtracting the calibration point pseudo distance error estimated value.
Similarly, the measurement point pseudo-range error correction device 260 uses a plurality of measurement points calculated by the measurement point pseudo-range calculation device 220 based on the plurality of measurement point pseudo-range error estimation values estimated by the measurement point pseudo-range error estimation device 250. Each pseudo distance is corrected to obtain a measurement point corrected pseudo distance.

The calibration point position calculation device 170 is based on the plurality of calibration point corrected pseudo distances corrected by the calibration point pseudo distance error correction device 160 and the positions of the plurality of satellite transmission devices calculated by the satellite position calculation device 130. The position of the calibration point (hereinafter referred to as “calibration point calculation position”) is calculated.
Since the calibration point calculation position calculated by the calibration point position calculation device 170 is calculated based on the calibration point corrected pseudo distance corrected by the calibration point pseudo distance error correction device 160, it has an accuracy within several centimeters. .
Similarly, the measurement point position calculation device 270 is based on the plurality of measurement point corrected pseudo distances corrected by the measurement point pseudo distance error correction device 260 and the positions of the plurality of satellite transmission devices calculated by the satellite position calculation device 230. Then, the position of the measurement point (hereinafter referred to as “measurement point calculation position”) is calculated.

The calibration point information transmission device 175 transmits the calibration point calculation position calculated by the calibration point position calculation device 170 to the positioning device 301 as calibration point information.
The calibration point information receiving device 275 receives the calibration point information transmitted from the calibration reference point totaling device 111.

The measurement point relative position calculation device 340 acquires the calibration point calculation position calculated by the calibration point position calculation device 170 from the calibration point information received by the calibration point information reception device 275. The measurement point relative position calculation device 340 has a relative position of the measurement point reception device 210 with respect to the calibration point reception device 110 based on the acquired calibration point calculation position and the measurement point calculation position calculated by the measurement point position calculation device 270 ( Hereinafter referred to as “measurement point relative position”).
For example, the measurement point relative position calculation device 340 subtracts the position vector representing the calibration point calculation position calculated by the calibration point position calculation device 170 from the position vector representing the measurement point calculation position calculated by the measurement point position calculation device 270. Then, a position vector representing the relative position of the measurement point is obtained.

The measurement point relative position display device 390 displays the position of the measurement point device 201 on a display device such as a liquid crystal screen based on the measurement point relative position calculated by the measurement point relative position calculation device 340. The measurement point relative position display device 390 may display the position of the measurement point device 201 as a numerical value representing the relative coordinates with respect to the position of the calibration reference point device 101, or visually display it by plotting it on a map. May be.
Note that the measurement point relative position calculated by the measurement point relative position calculation device 340 is not only displayed by the measurement point relative position display device 390 (or instead of being displayed by the measurement point relative position display device 390). You may use it.
For example, a system in which a measurement point device 201 is installed at the tip of a power shovel, and the arm of the power shovel is automatically controlled based on the measurement point relative position calculated by the measurement point relative position calculation device 340 to perform a highly accurate work. You may use it. At this time, the calibration reference point device 101 may be fixed and installed so as not to move on the ground or the like, or may be fixed and installed in a movable place such as a power shovel body.

FIG. 4 is a graph schematically showing an example of the relationship between the reception position and the pseudorange error.
In this figure, the horizontal axis indicates the reception position, and the vertical axis indicates the error. The reception position is originally three-dimensional, but here it is schematically represented in one dimension. The lower graph is an enlargement of the circle A in the upper graph.

The pseudorange error curve 400 is a curve showing an actual relationship between the reception position and the pseudorange error. In practice, since the reception position is three-dimensional, the pseudorange error curve 400 is a curved surface.
The electronic reference point pseudo distance error 401 is an error of a pseudo distance calculated based on the radio wave received by the electronic reference point device 601 at the position B1.
The electronic reference point pseudo-range error 402 is a pseudo-range error calculated based on the radio wave received by the electronic reference point device 602 at the position B2.
Since the positions of the electronic reference point devices 601 and 602 are accurately known, the electronic reference point pseudorange error 401 and the electronic reference point pseudorange error 402 are correctly on the pseudorange error curve 400.

  The pseudo distance error estimation function curve 410 is a curve indicating a function represented by the surface correction parameter calculated by the surface correction parameter calculation device 710 based on the electronic reference point pseudo distance errors 401 and 402. In practice, since the reception position is three-dimensional, the pseudorange error estimation function curve 410 is a curved surface (including a plane).

  Since the position B1 and the position B2 are separated from each other by, for example, about several tens of kilometers, the pseudorange error curve 400 and the pseudorange error estimation function curve 410 may deviate as shown in the figure. For this reason, even if the position is calculated with the corrected pseudo distance corrected by the error of the pseudo distance calculated based on the surface correction parameter, an error of about several centimeters remains.

The calibration point pseudo distance error estimated value 413 is an error of the pseudo distance at the position C (the position where the calibration reference point device 101 has received the radio wave) estimated based on the surface correction parameter. The pseudo distance error 403 is an error of the actual pseudo distance at the position C. Therefore, when the calibration point pseudo distance calculated based on the radio wave received at the position C by the calibration reference point device 101 is corrected with the calibration point pseudo distance error estimated value 413, a residual error 423 remains.
The measurement point pseudo distance error estimated value 414 is an error of the pseudo distance at the position P (position where the measurement point device 201 receives the radio wave) estimated based on the function represented by the pseudo distance error estimation function curve 410. The pseudorange error 404 is an error of the actual pseudorange at the position P. When the measurement point pseudo distance calculated based on the radio wave received at the position P by the measurement point device 201 is corrected with the measurement point pseudo distance error estimated value 414, a residual error 424 remains.

In this embodiment, the calibration point pseudo-range error estimated value 413 and the measurement point pseudo-range error estimated value 414 are calculated using the surface correction parameters, so the residual errors 423 and 424 are about several centimeters.
While the distance between the position B1 and the position B2 is several tens of kilometers, the distance between the position C and the position P is within several hundred meters to several kilometers. It can be regarded as a straight line substantially parallel to the error estimation function curve 410. Therefore, the residual error 423 and the residual error 424 are almost equal.

  Since the residual error 423 and the residual error 424 are substantially equal, the error of the calibration point calculation position calculated based on the calibration point corrected pseudo distance and the error of the measurement point calculation position calculated based on the measurement point corrected pseudo distance Are almost equal. Therefore, if the difference between the measurement point calculation position and the calibration point calculation position is taken, the error between the two cancels out, and the error can be made very small. Thereby, the error of the measurement point relative position calculated based on the measurement point calculation position and the calibration point calculation position is about several millimeters.

  Thereby, for example, the amount of movement of the measuring point device 201 can be accurately measured with an accuracy within an error of several millimeters, so that the positioning result can be used for construction work requiring high accuracy.

  For example, when the error of the pseudo distance is estimated by the single RTK-GPS method without using the surface correction parameter, the distance (baseline length) between the electronic reference point device and the calibration reference point device 101 or the measurement point device 201. When the distance is more than a few kilometers, the residual error increases rapidly. For this reason, the pseudorange error curve 400 and the pseudorange error estimation function curve 410 cannot always be regarded as parallel, and the residual error 423 and the residual error 424 cannot be said to be substantially equal.

The positioning system 800 in this embodiment includes a calibration point receiver 110, a calibration point position calculator 170, a measurement point receiver 210, a measurement point position calculator 270, and a measurement point relative position calculator 340. It is characterized by that.
The calibration point receiver 110 receives radio waves transmitted from a plurality of transmitters (satellite transmitters).
The calibration point position calculation device 170 receives the radio waves received by the calibration point reception device 110 and the radio waves transmitted by the plurality of transmission devices (satellite transmission devices) at predetermined positions (electronic reference point positions). The position of the calibration point receiving device 110 is calculated on the basis of the error calculated by (1) to obtain a calibration point calculation position.
The measurement point receiver 210 receives radio waves transmitted from the plurality of transmitters (satellite transmitters).
The measurement point position calculation device 270 includes an error calculated by receiving radio waves received by the measurement point reception device 210 and radio waves transmitted by the plurality of transmission devices (satellite transmission devices) at predetermined positions. Based on the above, the position of the measurement point receiving device 210 is calculated as a measurement point calculation position.
The measurement point relative position calculation device 340 is based on the calibration point calculation position calculated by the calibration point position calculation device 170 and the measurement point calculation position calculated by the measurement point position calculation device 270. The relative position of the measurement point receiving device 210 with respect to 110 is calculated to obtain the relative position of the measurement point.

  According to positioning system 800 in this embodiment, the error calculated by receiving the same radio wave at another position (electronic reference point position) and the radio wave received by calibration point receiver 110 and measurement point receiver 210, respectively. Based on the above, the calibration point calculation position and the measurement point calculation position are calculated, so that the calibration point calculation position and the measurement point calculation position with high accuracy can be obtained, and the calculated calibration point calculation position and the measurement point calculation position can be obtained. Based on the above, the measurement point relative position is calculated, so that errors remaining in the calibration point calculation position and the measurement point calculation position cancel each other, and further, it is possible to obtain a highly accurate measurement point relative position. .

The positioning system 800 in this embodiment further includes a calibration point pseudo distance calculation device 120, a calibration point temporary position calculation device 140, a calibration point pseudo distance error estimation device 150, a calibration point pseudo distance error correction device 160, It has a measurement point pseudo distance calculation device 220, a measurement point temporary position calculation device 240, a measurement point pseudo distance error estimation device 250, and a measurement point pseudo distance error correction device 260.
The calibration point pseudo distance calculation device 120 calculates the distance between each of the plurality of transmission devices (satellite transmission devices) and the calibration point reception device 110 based on the radio wave received by the calibration point reception device 110, It is a calibration point pseudo distance.
The calibration point temporary position calculating device 140 calculates the position of the calibration point receiving device 110 based on the calibration point pseudo distance calculated by the calibration point pseudo distance calculating device 120 to obtain a calibration point temporary position. Features.
The calibration point pseudo-range error estimating device 150 includes an error of a pseudo-range calculated by receiving radio waves respectively transmitted by the plurality of transmitting devices (satellite transmitting devices) at a predetermined position (electronic reference point position); Based on the calibration point temporary position calculated by the calibration point temporary position calculation device 140, an error of the calibration point pseudo distance calculated by the calibration point pseudo distance calculation device 120 is estimated, and the calibration point pseudo distance error estimated value and It is characterized by doing.
The calibration point pseudo distance error correction device 160 calculates the calibration point pseudo distance calculated by the calibration point pseudo distance calculation device 120 based on the calibration point pseudo distance error estimation value estimated by the calibration point pseudo distance error estimation device 150. The correction is made to be a corrected calibration point corrected pseudo distance.
The calibration point position calculation device 170 calculates the position of the calibration point reception device 110 based on the calibration point corrected pseudo distance corrected by the calibration point pseudo distance error correction device 160 and sets it as a calibration point calculation position. It is characterized by that.
The measurement point pseudo distance calculation device 220 calculates the distance between each of the plurality of transmission devices (satellite transmission devices) and the measurement point reception device 210 based on the radio wave received by the measurement point reception device 210. The measurement point pseudo distance is used.
The measurement point temporary position calculation device 240 calculates the position of the measurement point reception device 210 based on the measurement point pseudo distance calculated by the measurement point pseudo distance calculation device 220 and sets it as the measurement point temporary position. Features.
The measurement point pseudo-range error estimation device 250 includes an error of a pseudo-range calculated by receiving radio waves respectively transmitted by the plurality of transmission devices (satellite transmission devices) at a predetermined position (electronic reference point position); Based on the measurement point temporary position calculated by the measurement point temporary position calculation device 240, an error of the measurement point pseudo distance calculated by the measurement point pseudo distance calculation device 220 is estimated, and the measurement point pseudo distance error estimated value It is characterized by doing.
The measurement point pseudo distance error correction device 260 is configured to calculate the measurement point pseudo distance calculated by the measurement point pseudo distance calculation device 220 based on the measurement point pseudo distance error estimation value estimated by the measurement point pseudo distance error estimation device 250. It is characterized in that the error is corrected and the measured point corrected pseudo distance is obtained.
The measurement point position calculation device 270 calculates the position of the measurement point reception device 210 based on the measurement point corrected pseudo distance corrected by the measurement point pseudo distance error correction device 260 and sets it as the measurement point calculation position. It is characterized by that.

  According to the positioning system 800 in this embodiment, the calibration point receiving device 110 and the calibration point pseudo distance are calculated based on the calibration point pseudo distance and the measurement point pseudo distance calculated by the calibration point pseudo distance calculation device 120 and the measurement point pseudo distance calculation device 220, respectively. Approximate positions (calibration point temporary position and measurement point temporary position) of the measurement point receiving device 210 are calculated, and based on the calculated positions, the calibration point pseudo distance error estimation device 150 and the measurement point pseudo distance error estimation device 250 respectively. Since the pseudo-range error (calibration point pseudo-range error estimated value and measurement point pseudo-range error estimated value) is estimated, it is possible to obtain an accurate calibration point calculation position and measurement point calculation position.

The positioning system 800 in this embodiment further includes an electronic reference point receiving device 610, an electronic reference point pseudo distance calculating device 620, an electronic reference point geometric distance calculating device 650, and an electronic reference point pseudo distance error calculating device 660. It is characterized by having.
The electronic reference point receiving device 610 is located at a predetermined electronic reference point position, and receives radio waves transmitted by the plurality of transmitting devices (satellite transmitting devices).
The electronic reference point pseudo distance calculation device 620 calculates the distance between each of the plurality of transmission devices (satellite transmission devices) and the electronic reference point reception device 610 based on the radio wave received by the electronic reference point reception device 610. Thus, the electronic reference point pseudo distance is used.
The electronic reference point geometric distance calculation device 650 calculates the distance between each of the plurality of transmission devices (satellite transmission devices) and the electronic reference point reception device 610 on the basis of the electronic reference point position. It is characterized by a geometric distance.
The electronic reference point pseudo distance error calculation device 660 includes the electronic reference point pseudo distance calculated by the electronic reference point pseudo distance calculation device 620 and the electronic reference point geometric distance calculated by the electronic reference point geometric distance calculation device 650. On the basis of this, an error of the electronic reference point pseudorange is calculated as an electronic reference point pseudorange error.
The calibration point pseudo distance error estimation device 150 is based on the electronic reference point pseudo distance error calculated by the electronic reference point pseudo distance error calculation device 660 and the calibration point temporary position calculated by the calibration point temporary position calculation device 140. Thus, the calibration point pseudo-range error calculated by the calibration point pseudo-range calculation device 120 is estimated to obtain a calibration point pseudo-range error estimated value.
The measurement point pseudo distance error estimation device 250 is based on the electronic reference point distance error calculated by the electronic reference point pseudo distance error calculation device 660 and the measurement point temporary position calculated by the measurement point temporary position calculation device 240. The error of the measurement point pseudo distance calculated by the measurement point pseudo distance calculation device 220 is estimated to be a measurement point pseudo distance error estimated value.

  According to the positioning system 800 in this embodiment, an error (an electronic reference point pseudo distance error) of a pseudo distance (electronic reference point pseudo distance) calculated based on a radio wave received at the electronic reference point position by the electronic reference point receiving device 610. ) Is calculated by the electronic reference point pseudo-range error calculation device 660, and based on the calculated electronic reference point pseudo-range error, pseudo-range errors (calibration point pseudo-ranges) at the positions of the calibration point receiving device 110 and the measurement point receiving device 210 are calculated. Error estimation value and measurement point pseudo-range error estimation value) are calculated, so that it is possible to obtain a highly accurate calibration point calculation position and measurement point calculation position.

The positioning method in which the positioning system 800 in this embodiment measures the position of the measurement point includes the following steps.
Radio waves transmitted by a plurality of transmission devices (satellite transmission devices) are received at the calibration reference point.
Based on the radio wave received at the calibration reference point and the error calculated by receiving the radio wave transmitted by each of the plurality of transmission devices (satellite transmission devices) at a predetermined position (electronic reference point), the calibration standard The position of the point is calculated and set as a calibration point calculation position.
Radio waves transmitted by the plurality of transmission devices (satellite transmission devices) are received at measurement points.
The position of the measurement point is calculated based on the radio wave received at the measurement point and the error calculated by receiving the radio wave transmitted by each of the plurality of transmission devices at a predetermined position. And
Based on the calculated calibration point calculation position and the calculated measurement point calculation position, the relative position of the measurement point with respect to the calibration reference point is calculated and set as the measurement point relative position.

  According to the positioning method in this embodiment, based on the radio wave received at the calibration reference point and the measurement point, respectively, and the error calculated by receiving the same radio wave at another position (electronic reference point position), Since the calibration point calculation position and the measurement point calculation position are calculated, it is possible to obtain the calibration point calculation position and the measurement point calculation position with high accuracy, and further, based on the calculated calibration point calculation position and the measurement point calculation position, Since the measurement point relative position is calculated, the errors remaining in the calibration point calculation position and the measurement point calculation position cancel each other, and further, it is possible to obtain a highly accurate measurement point relative position.

  If the absolute position of the calibration reference point device 101 is measured in advance, the absolute position of the measurement point device 201 can be obtained from the measurement point relative position. The absolute position of the calibration reference point device 101 is measured by taking the average of the calibration point calculation positions calculated by receiving the radio waves transmitted from the satellite transmission device continuously for a long time by the calibration reference point device 101 that does not move. May be.

  In this case, the absolute position of the measurement point device 201 is obtained by adding the relative position of the measurement point calculated based on the calibration point calculation position and the measurement point calculation position to the absolute position of the calibration reference point device 101. The calibration point calculation position is subtracted from the absolute position of the calibration reference point device 101 to obtain the position error of the calibration point calculation position, and the obtained position error is added to the measurement point calculation position, thereby obtaining the position of the measurement point device 201. The absolute position may be obtained.

In many cases, it takes time and cost to measure the absolute position of the calibration reference point device 101. Therefore, the absolute position of the measurement point device 201 need not be determined.
For example, when creating a runway, how to flatten the surface of the runway is a problem. It is therefore important to accurately measure the relative position between two points on the runway. On the other hand, there is no problem even if the absolute position of the runway is shifted by several centimeters as a whole, so it is not so important to accurately measure the absolute position of a certain point.

  Moreover, although the case where there are a plurality of electronic reference point devices 601 to 604 has been described here, the number of electronic reference point devices may be one. In that case, if the distance (baseline length) between the electronic reference point device and the calibration reference point device 101 and the measurement point device 201 is within several kilometers, the same accuracy as when there are a plurality of electronic reference point devices is obtained. Obtainable.

  On the other hand, as described in this embodiment, a plurality of electronic reference point devices are provided, surface correction parameters are calculated based on radio waves received by the plurality of electronic reference point devices, and based on the calculated surface correction parameters. By calculating the calibration point pseudo-range error estimate and the measurement point pseudo-range error estimate, highly accurate positioning is possible even if the location to be measured is several kilometers to several tens of kilometers away from the electronic reference point device. It becomes.

Embodiment 2. FIG.
The second embodiment will be described with reference to FIGS.

Since the overall configuration of the positioning system 800 in this embodiment is the same as that described in the first embodiment, the description thereof is omitted here.
The calibration reference point device 101 is movable, for example, attached to a work vehicle.
Instead of calculating the relative position of the measurement point device 201 with respect to the calibration reference point device 101, the positioning device 301 virtually sets a calibration reference point that does not move, and virtually sets the calibration reference point (hereinafter referred to as “virtual reference point”). The relative position is calculated.

FIG. 5 is a block configuration diagram showing an example of functional block configurations of the calibration reference point device 101, the calibration reference point totaling device 111, the measurement point device 201, and the positioning device 301 in this embodiment.
Note that portions common to the blocks described in the first embodiment are denoted by the same reference numerals, and description thereof is omitted here.

  The positioning device 301 further includes a calibration point movement amount extraction device 180 and a virtual point position calculation device 185.

The calibration point movement amount extraction device 180 extracts the movement amount of the calibration point reception device 110 (hereinafter referred to as “calibration point movement amount estimated value”) from the change in the calibration point calculation position calculated by the calibration point position calculation device 170. To do.
For example, the calibration point movement amount extraction device 180 extracts only a component having a frequency lower than a predetermined frequency from the change in the calibration point calculation position by using a low-pass filter, and sets it as a calibration point movement amount estimated value. Alternatively, the calibration point movement amount extraction device 180 may calculate the calibration point movement amount estimated value from the change in the calibration point calculation position by smoothing (smoothing), moving average, time average, or the like.

The virtual point position calculation device 185 determines the position of the virtual reference point (based on the calibration point calculation position calculated by the calibration point position calculation device 170 and the calibration point movement amount estimated value extracted by the calibration point movement amount extraction device 180). Hereinafter referred to as “virtual point calculation position”).
For example, the virtual point position calculation device 185 calculates the relative position of the calibration point reception device 110 with respect to the virtual reference point by integrating the estimated calibration point movement amount. The virtual point position calculation device 185 subtracts the calculated relative position from the calibration point calculation position to obtain a virtual point calculation position.

The measurement point relative position calculation device 340 calculates the measurement point relative position based on the virtual point calculation position calculated by the virtual point position calculation device 185 and the measurement point calculation position calculated by the measurement point position calculation device 270.
For example, the measurement point relative position calculation device 340 subtracts the virtual point calculation position from the measurement point calculation position to obtain the measurement point relative position.

FIG. 6 is a graph schematically showing the relationship such as the measurement point relative position calculated by the measurement point relative position calculation device 340 and the like in this embodiment.
In this figure, the horizontal axis represents time, and the vertical axis represents the calculated position. The calculation position is originally three-dimensional, but here it is schematically represented in one dimension.

The calibration point calculation position 433 is the position of the calibration point reception device 110 calculated by the calibration point position calculation device 170. The calibration point position 443 is a true position of the calibration point receiving apparatus 110. The residual position error 453 is a difference between the calibration point calculation position 433 and the calibration point position 443.
The measurement point calculation position 434 is the position of the measurement point reception apparatus 210 calculated by the measurement point position calculation apparatus 270. The measurement point position 444 is a true position of the measurement point receiving device 210. The residual position error 454 is a difference between the measurement point calculation position 434 and the measurement point position 444.
As described in the first embodiment, the residual position error 453 and the residual position error 454 are substantially equal.

The residual position error 453 is due to the local influence of the ionosphere and troposphere. Since the GPS satellites 501 to 504 and the quasi-zenith satellite 511 move at high speed on the satellite orbit, the residual position error 453 changes in a short cycle.
On the other hand, the calibration point position 443 changes slower than the maximum movement speed of the calibration point receiver 110.
Therefore, the calibration point position 443 and the residual position error 453 can be separated by filtering the calibration point calculation position 433 and decomposing it into a high frequency component and a low frequency component. At this time, the boundary frequency may be determined based on the maximum moving speed of the calibration point receiving device 110. The positioning device 301 may store a predetermined boundary frequency, or the positioning device 301 may calculate and obtain the boundary frequency based on the maximum moving speed of the calibration point receiving device 110. Good.

  In this way, the calibration point movement amount extraction device 180 estimates the calibration point position 443 by separating the residual position error 453 from the calibration point calculation position 433, and changes in the estimated calibration point position 443 (calibration point movement). (Quantity estimate) is calculated.

The virtual point position calculation device 185 calculates the relative position 463 of the calibration point receiving device 110 with respect to the virtual reference point by integrating the estimated calibration point movement amount calculated by the calibration point movement amount extraction device 180.
The virtual point position calculation device 185 calculates a virtual point calculation position 435 by subtracting the relative position 463 from the calibration point calculation position 433.

  Since the virtual reference point does not move, the virtual point position 445 that is the true position of the virtual reference point does not change. On the other hand, the virtual point calculation position 435 calculated by the virtual point position calculation device 185 changes. The difference between the virtual point calculation position 435 and the virtual point position 445 (residual position error 455) reflects the residual position error 453 at the calibration point calculation position 433. Therefore, the residual position error 455 is substantially equal to the residual position error 453 and is also substantially equal to the residual position error 454.

  The measurement point relative position calculation device 340 calculates the measurement point relative position 464 by subtracting the virtual point calculation position 435 from the measurement point calculation position 434. Since the residual position error 454 and the residual position error 455 are substantially equal, the measurement point relative position 464 is substantially equal to the relative position of the measurement point position 444 with respect to the virtual point position 445. Therefore, the measurement point relative position 464 has an accuracy within an error of several millimeters as in the first embodiment.

As described above, based on the calibration point calculation position 433 calculated by the calibration point position calculation device 170, the calibration point movement amount extraction device 180 calculates the calibration point movement amount estimated value, and calculates the calculated calibration point movement amount estimated value. Based on this, the virtual point position calculation device 185 calculates the position of the virtual reference point that does not move, and the measurement point relative position calculation device 340 determines the relative position of the measurement point reception device 210 with respect to the virtual reference point (measurement point relative position 464). Therefore, even when the calibration point receiver 110 moves, the relative position of the measurement point receiver 210 with respect to the virtual reference point that does not move can be obtained with high accuracy.
The measurement point relative position 464 obtained in this way is a relative position with respect to the virtual reference point that does not move, and thus has high utility value, for example, can be plotted on a map.
In addition, since it is not necessary to fix the calibration reference point device 101 so as not to move to the ground or the like, it is possible to save the trouble of installing the calibration reference point device 101, and there is no space for installing the calibration reference point device 101. Even if it is, a positioning result with high utility value can be obtained.

The positioning system 800 in this embodiment further includes a calibration point movement amount extraction device 180.
The calibration point receiver 110 can move at a speed slower than a predetermined speed.
The calibration point movement amount extraction device 180 extracts a frequency component lower than a predetermined frequency corresponding to the predetermined speed based on the calibration point calculation position calculated by the calibration point position calculation device 170, thereby correcting the calibration point. The movement amount is estimated.
The measurement point relative position calculation device 340 includes the calibration point calculation position calculated by the calibration point position calculation device 170, the calibration point movement amount estimated value extracted by the calibration point movement amount extraction device 180, and the measurement point position calculation. Based on the measurement point calculation position calculated by the device 270, the relative position of the measurement point reception device 210 with respect to the virtual reference point that does not move is calculated and set as the measurement point relative position.

  According to the positioning system 800 in this embodiment, even if the calibration reference point device 101 is movable, the relative position of the measurement point device 201 with respect to the virtual reference point that does not move can be calculated. A trouble such as fixing the reference point device 101 to the ground can be saved, and a positioning result with high utility value can be obtained even when there is no space for installing the calibration reference point device 101.

Embodiment 3 FIG.
The third embodiment will be described with reference to FIGS.

FIG. 7 is a system configuration diagram showing an example of the overall configuration of the positioning system 800 in this embodiment.
In addition, the same code | symbol is attached | subjected about the part which is common in the positioning system 800 demonstrated in Embodiment 1, and description is abbreviate | omitted here.

The positioning system 800 includes a plurality of calibration reference point devices 101 to 104.
The calibration reference point devices 101 to 104 have a mutual distance of, for example, several kilometers, and are arranged so as to surround the measurement point device 201. The calibration reference point devices 101 to 104 are fixed so as not to move on the ground or the like.
The number of calibration reference point devices may be two or more. When the number of calibration reference point devices is 2, the measurement point device 201 is arranged in a range close to a line segment connecting the two calibration reference point devices (for example, a range within several hundred meters). Therefore, if the points to be measured are distributed substantially on a straight line, only two calibration reference point devices are required. On the other hand, when the points to be measured are distributed over a wide area, it is preferable that there are three or more calibration reference point devices.

FIG. 8 is a block configuration diagram showing an example of the functional block configuration of the calibration reference point devices 101 to 104, the measurement point device 201, and the positioning device 301 in this embodiment.
Note that portions common to the blocks described in the first embodiment are denoted by the same reference numerals, and description thereof is omitted here.

The calibration reference point totaling device 111 further includes a calibration point relative position calculating device 350 and a calibration point position error calculating device 360.
The positioning device 301 further includes a measurement point position error estimation device 370 and a measurement point position error correction device 380.

  The calibration point position calculation device 170 calculates a calibration point calculation position for each of the plurality of calibration reference point devices 101 to 104.

  One of the plurality of calibration reference point devices 101 to 104 is determined in advance as a reference calibration point. Or it is good also considering the virtual calibration reference point prescribed | regulated by the positional relationship with the some calibration reference point apparatus 101-104 as a reference | standard calibration point.

  The calibration point relative position calculation device 350 calculates the position of the reference calibration point (hereinafter referred to as “reference calibration point calculation position”) from the calibration point calculation position calculated by the calibration point position calculation device 170. For example, if the calibration reference point device 101 is used as a reference calibration point, the measurement point relative position calculation device 340 uses the calibration point calculation position calculated by the calibration point position calculation device 170 for the calibration reference point device 101 as a reference calibration point. The point calculation position.

  The calibration point relative position calculation device 350 is based on the calculated reference calibration point calculation position and the calibration point calculation position calculated by the calibration point position calculation device 170, and the relative positions of the calibration reference point devices 101 to 104 with respect to the reference calibration point. Is calculated as the relative position of the calibration point.

The calibration point position error calculating device 360 calculates the calibration calculated by the calibration point relative position calculating device 350 based on the calibration point relative position calculated by the calibration point relative position calculating device 350 for each of the plurality of calibration reference point devices 101 to 104. An error of the point relative position (hereinafter referred to as “calibration point position error”) is calculated.
Since the calibration reference point devices 101-104 are fixed so as not to move, the relative position between the calibration reference point devices 101-104 should not change. Therefore, if the calibration point relative position calculated by the calibration point relative position calculation device 350 changes, it can be said that this is due to an error.
For example, the calibration point position error calculation device 360 averages the calibration point relative positions calculated by the calibration point relative position calculation device 350 over a certain period of time to obtain the calibration point average relative position. The calculated calibration point average relative position is regarded as a correct relative position, and the calibration point position error calculation device 360 subtracts the calibration point average relative position from the calibration point relative position calculated by the calibration point relative position calculation device 350 to perform calibration. Point error is assumed.

The calibration point information transmission device 175 includes a calibration point calculation position calculated by the calibration point position calculation device 170, a reference calibration point calculation position calculated by the calibration point relative position calculation device 350, and a calibration point calculated by the calibration point position error calculation device 360. The position error is transmitted to the positioning device 301 as calibration point information.
The calibration point information receiving device 275 receives the calibration point information transmitted from the calibration reference point totaling device 111.

  The measurement point relative position calculation device 340 acquires the reference calibration point calculation position calculated by the calibration point relative position calculation device 350 from the calibration point information received by the calibration point information reception device 275. The measurement point relative position calculation device 340 calculates the relative position of the measurement point device 201 with respect to the reference calibration point based on the acquired reference calibration point calculation position and the measurement point calculation position calculated by the measurement point position calculation device 270. The relative position of the measurement point.

  The measurement point position error estimation device 370 includes a calibration point calculation position calculated by the calibration point position calculation device 170 and a calibration point calculated by the calibration point position error calculation device 360 from the calibration point information received by the calibration point information reception device 275. Get position error. The measurement point position error estimation device 370 calculates the relative position at the measurement point relative position based on the acquired calibration point calculation position, the acquired calibration point position error, and the measurement point relative position calculated by the measurement point relative position calculation device 340. A position error (hereinafter referred to as “measurement point position error estimated value”) is estimated.

  The measurement point position error correction device 380 corrects the measurement point relative position calculated by the measurement point relative position calculation device 340 based on the measurement point position error estimated value calculated by the measurement point position error estimation device 370. For example, the measurement point position error correction device 380 subtracts the measurement point position error estimated value calculated by the measurement point position error estimation device 370 from the measurement point relative position calculated by the measurement point relative position calculation device 340 and corrects the measurement. The point relative position is calculated.

  The measurement point relative position display device 390 displays the position of the measurement point device on a display device such as a liquid crystal screen based on the measurement point relative position corrected by the measurement point position error correction device 380.

  FIG. 9 is a schematic diagram showing an example of a method in which the measurement point position error estimation device 370 in this embodiment estimates the measurement point position error.

The calibration point relative positions 471 to 473 are calibration point relative positions calculated by the calibration point relative position calculation device 350 for the calibration reference point devices 101 to 103, respectively. In this example, the measurement point position error estimating device 370 selects three calibration reference point devices 101 to 103 from the calibration reference point devices 101 to 104, and relative calibration points of the selected calibration reference point devices 101 to 103 are selected. A measurement point position error is estimated from the positions 471 to 473. The measurement point position error estimation device 370 is close to the measurement point device 201, the directions viewed from the measurement point device 201 are separated from each other, and three or more calibration reference points arranged so as to surround the measurement point device 201. Select a device. That is, the measurement point position error estimation device 370 selects the calibration reference point device so as to be inside a polygon whose vertex is the calibration reference point device selected by the measurement point device 201. Note that the number of calibration reference point devices to be selected may be two or more, and all the calibration reference point devices may be selected.
The measurement point relative position 475 is the measurement point relative position calculated by the measurement point relative position calculation device 340. The calibration point position error vectors e _{1 to} e ₃ are calibration point position errors calculated by the calibration point position error calculation device 360 for the calibration reference point devices 101 to 103, respectively. The measurement point position error vector e is a measurement point position error estimated value calculated by the measurement point position error estimation device 370.

The measurement point position error estimation device 370 is based on the calibration point relative positions 471 to 473 and the measurement point relative position 475, and distances l _{1 to} l between the calibration reference point devices 101 to 103 and the measurement point device 201, respectively. ₃ (scalar value) is calculated. The measurement point position error estimation device 370 calculates the sum Σ (1 / l _i ) of the reciprocals of the distances l _{1 to} l ₃ based on the calculated distances l _{1 to} l ₃ . Measurement point position error estimation unit 370 includes a calibration point position error vector _e 1 to e _3, based on the distance _l 1 to l _3, the calibration point position error vector _e 1 to e ₃ at a distance _l 1 to l ₃ The sum vector Σ (e _i / l _i ) of the divided quotient is calculated. The measurement point position error estimation device 370 calculates a quotient vector e obtained by dividing the calculated total vector Σ (e _i / l _i ) by the total sum Σ (1 / l _i ) and sets it as a measurement point position error estimated value.

As described in the first embodiment, when the distance between the calibration reference point devices 101 to 104 and the measurement point device 201 is short (for example, about several hundred meters), the calibration point calculation calculated by the calibration point position calculation device 170 is performed. The residual position errors included in the measurement point calculation positions calculated by the position and measurement point position calculation device 270 are substantially equal and can be offset by obtaining the relative position.
However, when the distance between the calibration reference point devices 101 to 104 and the measurement point device 201 is slightly longer (for example, about several kilometers), there is a difference in the residual position error included in the calibration point calculation position and the measurement point calculation position. Therefore, even if the relative position is obtained, there is an error that cannot be canceled out.

Therefore, in this embodiment, a plurality of calibration reference point devices 101 to 104 with fixed positions are provided, and the calibration point relative position calculation device 350 performs calibration based on the calibration point calculation position calculated by the calibration point position calculation device 170. The relative position (calibration point relative position) between the reference point devices 101 to 104 is calculated. Based on the calculated calibration point relative position, the calibration point position error calculation device 360 calculates the calibration point position error, thereby obtaining the position error remaining without being canceled.
Since the error obtained in this way is the position error remaining at the calibration point position, the measurement point position error estimation device 370 estimates the position error at the measurement point position based on this.
For example, as described above, the measurement point position error estimating device 370 performs weighting inversely proportional to the distance between the measurement point device 201 and the calibration reference point devices 101 to 104, and the calibration point position error calculating device 360 The measurement point position error is calculated by taking a weighted average of the calculated calibration point position errors. As a result, the position error at the calibration point closest to the measurement point position is regarded as the most important, and the position error at the other calibration point positions is also considered and the measurement point position error is estimated. Can be estimated with high accuracy.

  The measurement point relative position obtained by the measurement point relative position calculation device 340 is corrected by the measurement point position error correction device 380 based on the measurement point position error obtained as described above, and therefore remains at the measurement point relative position. Therefore, the relative position of the measurement point can be obtained with an accuracy of several millimeters.

The positioning system 800 in this embodiment includes a plurality of the calibration point receiving devices 110, and further includes a calibration point relative position calculation device 350, a calibration point position error calculation device 360, a measurement point position error estimation device 370, And a measurement point position error correction device 380.
The calibration point relative position calculation device 350 calculates the relative position between the calibration point reception devices 110 based on the calibration point calculation position calculated by the calibration point position calculation device 170 and sets it as the calibration point relative position. It is characterized by that.
The calibration point position error calculation device 360 calculates an error of the calibration point relative position calculated by the calibration point relative position calculation device 350 based on the change in the calibration point relative position calculated by the calibration point relative position calculation device 350. Thus, a calibration point position error is used.
The measurement point position error estimation device 370 is configured to calculate the measurement point position error based on the calibration point position error calculated by the calibration point position error calculation device 360 and the measurement point relative position calculated by the measurement point relative position calculation device 340. An error of the measurement point relative position calculated by the relative position calculation device 340 is estimated to obtain a measurement point relative position error estimated value.
The measurement point position error correction device 380 corrects the measurement point relative position calculated by the measurement point relative position calculation device 340 based on the measurement point relative position error estimated value estimated by the measurement point position error estimation device 370. It is characterized by that.

  According to the positioning system 800 in this embodiment, the calibration point relative position is calculated based on the calibration point calculation positions calculated for the plurality of calibration reference point devices 101 to 104, and based on the calculated calibration point relative position error. Thus, the measurement point relative position error estimated value is calculated, and the measurement point relative position error is corrected based on the calculated measurement point relative position error estimated value. Therefore, the interval between the calibration reference point devices 101 to 104 and the measurement point device 201 is increased. Even if they are separated from each other, there is an effect that the position error remaining without being canceled can be corrected to obtain a highly accurate measurement point relative position.

The positioning system 800 described above is
It is installed at a position where an accurate position is known in advance (electronic reference point position), and observation information (electronic reference point pseudorange) or correction information (electronic reference point distance error) is used as an electronic reference point for calibration (calibration reference point device). 101) and an electronic reference point (electronic reference point devices 601 to 604) to be transferred to the measurement point (measurement point device 201);
The electronic reference point (calibration reference point device 101) is located near the measurement point (measurement point device 201) from the electronic reference point (electronic reference point devices 601 to 604) and has an accurate position. And
First, in the calibration electronic reference point (calibration reference point device 101), observation information (electronic reference point pseudo distance) or correction information (electronic reference point distance error) of the electronic reference point (electronic reference point devices 601 to 604), Based on the observed amount (calibration point pseudo distance) of the calibration electronic reference point (calibration reference point device 101), positioning is performed.
The difference between the positioning result (calibration point calculation position) and the position of the calibration electronic reference point (calibration point position) is used as calibration correction information.
The GPS positioning device (positioning device 301) performs positioning based on the observation information or correction information of the electronic reference point (electronic reference point devices 601 to 604) and the correction information for calibration of the calibration electronic reference point (calibration reference point device 101). Perform the calculation.

As a result, the network error (residual error 424), which has been an error that cannot be corrected by the correction data, is calibrated with the correction data for calibration and positioning is performed, thereby enabling high-accuracy positioning.
That is, positioning is performed with a calibration electronic reference point (calibration reference point device 101) whose position has been measured with high accuracy in advance, and the obtained positioning coordinate value P _a (x _Pa , y _Pa , z _Pa ) (calibration point calculation position) ) and the known coordinate values _K a _{(x Ka} of the calibration electronic reference points, y _Ka, the difference _e a _{(x ea} with _{z Ka), y ea, z} ea) = K a -P a = (x Ka - x _{Pa, y} Ka _{-y Pa,} determine the z Ka _{-z Pa).} The difference e _a reflects an estimation error by the network GPS. Positioning is performed at the measurement point (measurement point device 201), and the obtained positioning coordinate value P _u (x _Pu , y _Pu , z _Pu ) (measurement point calculation position) is used as the difference e _a (x _ea , y _ea , z _ea). ) calibrated with to obtain absolute position _{a u = P u + e a} = (x Pu + x ea measurement points (measurement point device _{201), y Pu + y ea} , the _z Pu ₊ z _ea).
Thus, when the absolute position of the calibration electronic reference point (calibration reference point device 101) is known in advance, the absolute position of the measurement point (measurement point device 201) can be obtained with an accuracy of several millimeters of error. .

Further, even if the absolute position of the calibration electronic reference point (calibration reference point device 101) is unknown, the relative position of the measurement point (measurement point device 201) with respect to the calibration electronic reference point (calibration reference point device 101) is an error. It can be determined with an accuracy of several millimeters. This is because the measurement point relative position R _u is R _u = A _u −K _a = (P _u + e _a ) −K _a = P _u + (K _a −P _a ) −K _a = P _u −P _a . from even absolute position K _a of the calibration electronic reference point (calibration reference point 101) is unknown can be calculated.

The positioning system 800 described above is
Correction data (surface correction parameter) is obtained by a network type GPS composed of a plurality of electronic reference points (electronic reference point devices 601 to 604) whose accurate positions are known in advance.

The positioning system 800 described above is
It is installed at a position where an accurate position is known in advance (electronic reference point position), and observation information or correction information is transferred to an electronic reference point for calibration (calibration reference point device 101) and a measurement point (measurement point device 201). An electronic reference point (electronic reference point devices 601-604),
A calibration electronic reference point (calibration reference point device 101) arranged in the vicinity of the measurement point (measurement point device 201) from the electronic reference point (electronic reference point devices 601 to 604),
The position (calibration point calculation position) of the calibration electronic reference point (calibration reference point device 101) is the correction data (electronic reference point distance error) by the electronic reference point (electronic reference point devices 601 to 604) and the calibration electronic reference point. The positioning calculation is performed based on the observation information (calibration point pseudo distance) of the (calibration reference point device 101), and the filter processing for removing the fluctuation in the high frequency band on the time axis is operated and obtained.

The positioning system 800 described above is
A network type GPS composed of a plurality of electronic reference points (electronic reference point devices 601 to 604) whose accurate positions are known in advance;
A calibration electronic reference point (calibration reference point device 101) arranged in the vicinity of the measurement point (measurement point device 201) from the electronic reference point (electronic reference point devices 601 to 604),
The position (calibration point calculation position) of the calibration electronic reference point (calibration reference point device 101) is the correction data (surface correction parameter) by the network GPS and the observation information of the calibration electronic reference point (calibration reference point device 101) ( A GPS positioning device that performs positioning calculation using a calibration point pseudorange) and operates a filtering process to remove fluctuations in the high-frequency band on the time axis.

The positioning system 800 described above is
It is installed at a position where an accurate position is known in advance (electronic reference point position), and observation information (electronic reference point pseudorange) or correction information (electronic reference point distance error) is used as an electronic reference point for calibration (calibration reference point device). 101 to 104) and the electronic reference point (electronic reference point devices 601 to 604) to be transferred to the measurement point (measurement point device 201),
A plurality of calibration electronic reference points (calibration reference point devices 101 to 104) arranged in the vicinity of the measurement point (measurement point device 201) from the electronic reference point (electronic reference point devices 601 to 604),
The calibration correction data (measurement point position error estimated value) is obtained by setting a plurality of calibration electronic reference points (calibration reference point devices 101 to 104) and obtaining calibration correction data (calibration point position errors) respectively. The calibration correction data (measurement point position error estimated value) at the positioning point (measurement point calculation position) is interpolated from each calibration correction data (calibration point position error).

The positioning system 800 described above is
A network type GPS composed of a plurality of electronic reference points (electronic reference point devices 601 to 604) whose accurate positions are known in advance;
A plurality of calibration electronic reference points (calibration reference point devices 101 to 104) arranged in the vicinity of the measurement point (measurement point device 201) from the electronic reference point (electronic reference point devices 601 to 604),
The calibration correction data (measurement point position error estimated value) is obtained by setting a plurality of calibration electronic reference points (calibration reference point devices 101 to 104) and obtaining calibration correction data (calibration point position errors) respectively. The calibration correction data (measurement point position error estimated value) at the positioning point (measurement point calculation position) is interpolated from each calibration correction data (calibration point position error).

  The specific method of interpolation is not limited to the method described above, and other methods such as plane interpolation and quadratic surface interpolation may be used.

  Instead of estimating the position error at the measurement point (measurement point device 201) based on the position error at the calibration reference point (calibration reference point devices 101 to 104) and correcting the measurement point calculation position, the calibration reference point ( The error of the observation value (pseudo distance) in the calibration reference point devices 101 to 104) is obtained, and the error of the observation value (pseudo distance) at the measurement point (measurement point device 201) based on the error of the obtained observation value (pseudo distance). May be estimated, the observed value (pseudo distance) may be corrected, and the positioning calculation may be performed based on the corrected observed value (pseudo distance).

1 is a system configuration diagram illustrating an example of an overall configuration of a positioning system 800 according to Embodiment 1. FIG. FIG. 3 is a block configuration diagram illustrating an example of functional block configurations of electronic reference point devices 601 to 604 and an electronic reference point totaling device 701 according to the first embodiment. FIG. 3 is a block configuration diagram showing an example of functional block configurations of a calibration reference point device 101, a measurement point device 201, and a positioning device 301 in the first embodiment. The graph figure which shows an example of the relationship between a receiving position and the error of a pseudo distance typically. The block block diagram which shows an example of a structure of the functional block of the calibration reference point apparatus 101, the measurement point apparatus 201, and the positioning apparatus 301 in Embodiment 2. The graph figure which shows typically the relationship of the measurement point relative position calculation apparatus 340 etc. in Embodiment 2 etc. which are calculated. FIG. 10 is a system configuration diagram showing an example of an overall configuration of a positioning system 800 in a third embodiment. FIG. 10 is a block configuration diagram illustrating an example of a functional block configuration of calibration reference point devices 101 to 104, a measurement point device 201, and a positioning device 301 in the third embodiment. The schematic diagram which shows an example of the system which the measurement point position error estimation apparatus 370 in Embodiment 3 estimates a measurement point position error.

Explanation of symbols

  101-104 Calibration reference point device, 110 Calibration point receiving device, 111 Calibration reference point totaling device, 120 Calibration point pseudo distance calculation device, 130, 230 Satellite position calculation device, 140 Calibration point temporary position calculation device, 150 Calibration point pseudo distance Error estimation device, 160 Calibration point pseudo distance error correction device, 170 Calibration point position calculation device, 175 Calibration point information transmission device, 180 Calibration point movement amount extraction device, 185 Virtual point position calculation device, 201 Measurement point device, 210 Measurement point Receiving device, 220 measuring point pseudo distance calculating device, 240 measuring point temporary position calculating device, 250 measuring point pseudo distance error estimating device, 260 measuring point pseudo distance error correcting device, 270 measuring point position calculating device, 275 calibration point information receiving device , 301 Positioning device, 321, 322 Surface correction parameter receiving device, 340 Relative position of measurement point Calculation device, 350 Calibration point relative position calculation device, 360 Calibration point position error calculation device, 370 Measurement point position error estimation device, 380 Measurement point position error correction device, 390 Measurement point relative position display device, 400 Pseudo distance error curve, 401 , 402 Electronic reference point pseudo distance error, 403, 404 pseudo distance error, 410 pseudo distance error estimation function curve, 413 calibration point pseudo distance error estimated value, 414 measurement point pseudo distance error estimated value, 423, 424 residual error, 433 calibration Point calculation position, 434 Measurement point calculation position, 435 Virtual point calculation position, 443 Calibration point position, 444 Measurement point position, 445 Virtual point position, 453-455 Residual position error, 463 Relative position, 464 Measurement point relative position, 471 473 calibration point relative position, 475 measurement point relative position, 501 to 504 GPS satellite, 11 Quasi-Zenith Satellite, 601-604 Electronic Reference Point Device, 610 Electronic Reference Point Receiver, 620 Electronic Reference Point Pseudo Distance Calculation Device, 630 Satellite Position Calculation Device, 640 Electronic Reference Point Location Storage Device, 650 Electronic Reference Point Geometric Distance Calculation Device, 660 electronic reference point pseudo-range error calculating device, 701 electronic reference point totaling device, 710 surface correction parameter calculating device, 720 surface correction parameter transmitting device, 800 positioning system.

Claims (6)

A calibration point receiver, a calibration point position calculator, a measurement point receiver, a measurement point position calculator, and a measurement point relative position calculator;
The calibration point receiving device receives radio waves transmitted by a plurality of transmitting devices,
The calibration point position calculating device is based on the radio wave received by the calibration point receiving device and the error calculated by receiving the radio waves respectively transmitted by the plurality of transmitting devices at predetermined positions. Calculate the position of the receiving device and use it as the calibration point calculation position.
The measuring point receiving device receives radio waves transmitted by the plurality of transmitting devices,
The measurement point position calculation device is based on the radio wave received by the measurement point reception device and the error calculated by receiving the radio waves respectively transmitted by the plurality of transmission devices at a predetermined position. Calculate the position of the receiving device and set it as the measurement point calculation position,
The measurement point relative position calculation device is configured to perform the measurement on the calibration point reception device based on the calibration point calculation position calculated by the calibration point position calculation device and the measurement point calculation position calculated by the measurement point position calculation device. A positioning system that calculates a relative position of a point receiving device and sets the relative position as a measurement point. The positioning system further includes a calibration point pseudo distance calculation device, a calibration point temporary position calculation device, a calibration point pseudo distance error estimation device, a calibration point pseudo distance error correction device, a measurement point pseudo distance calculation device, and a measurement. A point temporary position calculation device, a measurement point pseudo-range error estimation device, and a measurement point pseudo-range error correction device,
The calibration point pseudo distance calculating device calculates the distance between each of the plurality of transmitting devices and the calibration point receiving device based on the radio wave received by the calibration point receiving device, and sets the calibration point pseudo distance as a calibration point pseudo distance,
The calibration point temporary position calculation device calculates the position of the calibration point reception device based on the calibration point pseudo distance calculated by the calibration point pseudo distance calculation device, and sets the calibration point temporary position as
The calibration point pseudo-range error estimation device includes a pseudo-range error calculated by receiving radio waves transmitted by the plurality of transmission devices at predetermined positions, and a calibration point calculated by the calibration point temporary position calculation device. Based on the temporary position, the error of the calibration point pseudo distance calculated by the calibration point pseudo distance calculation device is estimated as a calibration point pseudo distance error estimated value,
The calibration point pseudo distance error correction device corrects the calibration point pseudo distance calculated by the calibration point pseudo distance calculation device based on the calibration point pseudo distance error estimation value estimated by the calibration point pseudo distance error estimation device. , The calibration point corrected pseudo distance,
The calibration point position calculation device calculates the position of the calibration point reception device based on the calibration point corrected pseudo distance corrected by the calibration point pseudo distance error correction device, and is used as a calibration point calculation position.
The measurement point pseudo distance calculation device calculates a distance between each of the plurality of transmission devices and the measurement point reception device based on the radio wave received by the measurement point reception device, and sets the measurement point pseudo distance as a measurement point pseudo distance,
The measurement point temporary position calculation device calculates the position of the measurement point reception device based on the measurement point pseudo distance calculated by the measurement point pseudo distance calculation device, and sets it as a measurement point temporary position.
The measurement point pseudo-range error estimation device includes a pseudo-range error calculated by receiving radio waves transmitted by the plurality of transmission devices at predetermined positions, and a measurement point calculated by the measurement point temporary position calculation device. Based on the temporary position, the error of the measurement point pseudo distance calculated by the measurement point pseudo distance calculation device is estimated as a measurement point pseudo distance error estimated value,
The measurement point pseudo distance error correction device corrects the error of the measurement point pseudo distance calculated by the measurement point pseudo distance calculation device based on the measurement point pseudo distance error estimation value estimated by the measurement point pseudo distance error estimation device. And the measurement point corrected pseudo distance
The measurement point position calculation device calculates the position of the measurement point reception device based on the measurement point corrected pseudo distance corrected by the measurement point pseudo distance error correction device, and sets it as a measurement point calculation position. The positioning system according to claim 1. The positioning system further includes an electronic reference point receiving device, an electronic reference point pseudo distance calculating device, an electronic reference point geometric distance calculating device, and an electronic reference point pseudo distance error calculating device,
The electronic reference point receiving device is located at a predetermined electronic reference point position, receives radio waves transmitted by the plurality of transmitting devices,
The electronic reference point pseudo distance calculating device calculates the distance between each of the plurality of transmitting devices and the electronic reference point receiving device based on the radio wave received by the electronic reference point receiving device, age,
The electronic reference point geometric distance calculation device calculates the distance between each of the plurality of transmission devices and the electronic reference point reception device based on the electronic reference point position, and sets the electronic reference point geometric distance,
The electronic reference point pseudo distance error calculation device is based on the electronic reference point pseudo distance calculated by the electronic reference point pseudo distance calculation device and the electronic reference point geometric distance calculated by the electronic reference point geometric distance calculation device. By calculating the error of the electronic reference point pseudorange, the electronic reference point pseudorange error,
The calibration point pseudo distance error estimation device is based on the electronic reference point pseudo distance error calculated by the electronic reference point pseudo distance error calculation device and the calibration point temporary position calculated by the calibration point temporary position calculation device. Estimate the error of the calibration point pseudo-range calculated by the calibration point pseudo-range calculator,
The measurement point pseudo distance error estimation device is based on the electronic reference point pseudo distance error calculated by the electronic reference point pseudo distance error calculation device and the measurement point temporary position calculated by the measurement point temporary position calculation device. The positioning system according to claim 2, wherein an error of the measurement point pseudo distance calculated by the measurement point pseudo distance calculation device is estimated to obtain an estimation value of the measurement point pseudo distance error. The positioning system further includes a calibration point movement amount extraction device and a virtual point position calculation device,
The calibration point receiver is movable at a speed slower than a predetermined speed,
The calibration point movement amount extraction device estimates the movement amount of the calibration point reception device based on the calibration point calculation position calculated by the calibration point position calculation device to obtain a calibration point movement amount estimated value,
The virtual point position calculation device is configured to calculate a virtual reference point that does not move based on the calibration point calculation position calculated by the calibration point position calculation device and the calibration point movement amount estimated value estimated by the calibration point movement amount extraction device. Calculate the position to be the virtual point calculation position,
The measurement point relative position calculation device is configured to calculate the measurement point relative to the virtual reference point based on the virtual point calculation position calculated by the virtual point position calculation device and the measurement point calculation position calculated by the measurement point position calculation device. The positioning system according to any one of claims 1 to 3, wherein a relative position of the receiving device is calculated to obtain a relative position of the measurement point. The positioning system includes a plurality of calibration point receivers, and further includes a calibration point relative position calculation device, a calibration point position error calculation device, a measurement point position error estimation device, and a measurement point position error correction device. And
The calibration point relative position calculation device calculates a relative position between the calibration point reception devices based on the calibration point calculation position calculated by the calibration point position calculation device, and sets the calibration point relative position,
The calibration point position error calculation device calculates an error of the calibration point relative position calculated by the calibration point relative position calculation device based on a change in the calibration point relative position calculated by the calibration point relative position calculation device, Calibration point position error
The measurement point position error estimation device calculates the measurement point relative position based on the calibration point position error calculated by the calibration point position error calculation device and the measurement point relative position calculated by the measurement point relative position calculation device. Estimate the error of the relative position of the measurement point calculated by the device, and make the measurement point relative position error estimate,
The measurement point position error correction device corrects the measurement point relative position calculated by the measurement point relative position calculation device based on the measurement point relative position error estimation value estimated by the measurement point position error estimation device. The positioning system according to any one of claims 1 to 4. Receive radio waves transmitted by multiple transmitters at the calibration reference point,
The position of the calibration reference point is calculated based on the radio wave received at the calibration reference point and the error calculated by receiving the radio wave transmitted by each of the plurality of transmitting devices at a predetermined position. As the calculated position,
Receive radio waves transmitted by each of the plurality of transmission devices at a measurement point,
The position of the measurement point is calculated based on the radio wave received at the measurement point and the error calculated by receiving the radio wave transmitted by each of the plurality of transmission devices at a predetermined position. age,
A positioning method, wherein a relative position of the measurement point with respect to the calibration reference point is calculated based on the calculated calibration point calculation position and the calculated measurement point calculation position to obtain a measurement point relative position.

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