Patent Application
20170227649
The present invention relates to satellite positioning.
In an independent positioning scheme in which a positioning device independently determines a position by using code information of a GNSS signal from a satellite positioning system (GNSS: Global Navigation System) such as a GPS (Global Positioning System), an error included in the GNSS signal results in positioning accuracy on the order of meters.
Compared to the independent positioning scheme, a positioning scheme using reinforcement information realizes high accuracy positioning on the order of centimeters.
This positioning scheme uses observed data at an electronic reference point or the like, the accurate coordinates of which are known, to estimate an error arising from a positioning satellite and an error arising from an atmospheric state for each positioning satellite and provide an amount of error correction as the reinforcement information to a positioning device.
The reinforcement information is transmitted from a quasi-zenith satellite or a wireless LAN (Local Area Network) network, for example, to be provided to the positioning device.
The positioning device performs error correction on a result of independent positioning by using the amount of error correction in the reinforcement information to thus be able to realize high accuracy positioning on the order of centimeters.
A technique disclosed in Patent Literature 1 relates to the high accuracy positioning using the reinforcement information, for example.
Patent Literature 1: JP 2014-16315 A
It is desired to use reinforcement information on the order of centimeters in order to realize satellite positioning with high accuracy.
On the other hand, a communication bandwidth of as much as 2 kpbs (bits per second) is required to transmit the reinforcement information on the order of centimeters.
The quasi-zenith satellite or the wireless LAN network transmits information used in various services in addition to the reinforcement information, where there is a problem that transmission of the reinforcement information constrains a communication bandwidth used for another information.
It is one of the main objects of the present invention to solve the aforementioned problem, and it is the main object to achieve high accuracy positioning without constraining the communication bandwidth.
An information processing device according to the present invention may include:
According to the present invention, the communication bandwidth can be used effectively by reducing an amount of information in reinforcement information.
Moreover, according to the present invention, the reinforcement information is manipulated to realize high accuracy positioning so that relatively high positioning accuracy can be maintained.
***Description of Configuration***
An information processing device 100 in
The information processing device 100 then provides the reinforcement information on the order of decimeters to a quasi-zenith satellite 200 or a wireless LAN network 800 to be described.
Note that the reinforcement information on the order of centimeters is a piece of information used to correct a positioning error that occurs in independent positioning using a positioning signal from a GPS satellite, and is a piece of reinforcement information by which positioning accuracy on the order of centimeters is achieved as positioning accuracy after the correction.
The positioning accuracy on the order of centimeters means that the positioning error falls within the order of two to three centimeters with a probability of 65% or higher.
On the other hand, the reinforcement information on the order of decimeters is a piece of information used to correct the positioning error that occurs in independent positioning using the positioning signal from the GPS satellite, and is a piece of reinforcement information by which positioning accuracy on the order of decimeters is achieved as the positioning accuracy after the correction.
The positioning accuracy on the order of decimeters means that the positioning error falls within the order of 20 to 30 centimeters with a probability of 65% or higher.
The quasi-zenith satellite 200 receives reinforcement information on the order of decimeters 400 obtained by the information processing device 100 from a transmitter 700, and transmits the reinforcement information on the order of decimeters being received to the earth.
The quasi-zenith satellite 200 transmits the reinforcement information on the order of decimeters 400 with any one of frequencies L1, L2, and L5, for example.
Note that while the present embodiment describes an example of transmitting the reinforcement information on the order of decimeters 400 from the quasi-zenith satellite 200, the reinforcement information on the order of decimeters 400 may instead be transmitted from a satellite other than the quasi-zenith satellite 200. Alternatively, the reinforcement information on the order of decimeters 400 may be transmitted from the wireless LAN network 800 providing a wireless LAN environment.
A GPS satellite 300 being a positioning satellite transmits a positioning signal 500.
A GNSS satellite such as GLONASS, Galileo, or BeiDou may be used instead of the GPS satellite 300.
Moreover, the GPS satellite 300 may be adapted to transmit the reinforcement information on the order of decimeters 400.
The positioning signal 500 includes observed data 501 and a broadcast ephemeris 502
A pseudorange between a positioning point and the GPS satellite 300 as well as a carrier phase can be derived from the observed data 501.
Each of the pseudorange and the carrier phase derived from the observed data 501 includes an error.
A positioning device 600 uses the reinforcement information on the order of decimeters 400 to eliminate the error included in each of the pseudorange and the carrier phase.
The broadcast ephemeris 502 is a piece of data notifying of an accurate satellite orbit of the GPS satellite 300 from which the broadcast ephemeris 502 is transmitted, and is also called an ephemeris.
The positioning device 600 can be a smart phone, a mobile phone, a tablet terminal, or a car navigation system, for example.
The positioning device 600 receives the positioning signal 500 transmitted from the GPS satellite 300.
The positioning device 600 also receives the reinforcement information on the order of decimeters 400 transmitted from the quasi-zenith satellite 200 or the wireless LAN network 800.
When receiving the reinforcement information on the order of decimeters 400 from the quasi-zenith satellite 200, the positioning device 600 needs to support any one of the frequencies L1, L2, and L5.
The positioning device 600 applies the reinforcement information on the order of decimeters 400 to the positioning signal 500 (including a positioning error on the order of meters) to be able to obtain a positioning result with positioning accuracy on the order of decimeters.
The transmitter 700 transmits the reinforcement information on the order of decimeters 400 generated by the information processing device 100 to the quasi-zenith satellite 200.
Now, there will be described an error value included in the reinforcement information on the order of centimeters.
The reinforcement information on the order of centimeters includes a value of a satellite clock error (hereinafter simply referred to as a satellite clock error), a value of a satellite orbit error (hereinafter simply referred to as a satellite orbit error), an inter-frequency bias, a value of an ionospheric delay error (hereinafter simply referred to as an ionospheric delay error), and a value of a tropospheric delay error (hereinafter simply referred to as a tropospheric delay error).
The satellite clock error, the satellite orbit error, and the inter-frequency bias are errors independent of a region.
The ionospheric delay error and the tropospheric delay error are errors dependent on a region and are calculated for each grid point.
The grid point is a virtual measurement point arranged at approximately 60-km intervals in each of a latitude direction and a longitude direction as illustrated in
The ionospheric delay error and the tropospheric delay error correspond to a geographic interval error value to be described later.
Note that the reinforcement information on the order of centimeters is updated in a predetermined update cycle (specifically, the satellite clock error is updated in a cycle of five seconds, while the other errors being the satellite orbit error, the inter-frequency bias, the ionospheric delay error and the tropospheric delay error are updated in a cycle of 30 seconds).
A reinforcement information generation unit 101 in
The reinforcement information generation unit 101 may generate the reinforcement information on the order of centimeters by an arbitrary method.
A reinforcement information adjustment unit 102 reduces the amount of information in the reinforcement information on the order of centimeters generated by the reinforcement information generation unit 101 to generate the reinforcement information on the order of decimeters.
More specifically, the reinforcement information adjustment unit 102 reduces the amount of information in the reinforcement information on the order of centimeters by combining update cycle adjustment processing 1021, geographic interval error value adjustment processing 1022, and bit count adjustment processing 1023.
The update cycle adjustment processing 1021 is processing that sets the update cycle of the reinforcement information on the order of centimeters to be an integer multiple of the predetermined update cycle.
In the present embodiment, as an example of the update cycle adjustment processing 1021, there will be described processing that sets the update cycle of the reinforcement information on the order of centimeters to a cycle of 60 seconds being twice the original cycle of 30 seconds. Note that in the update cycle adjustment processing 1021, the update cycle of the reinforcement information on the order of centimeters may be adjusted to an integer multiple being twice or larger of the original update cycle, not necessarily twice.
The geographic interval error value adjustment processing 1022 is processing that reduces the number of geographic interval error values by selecting the geographic interval error value every geographic interval being an integer multiple of a predetermined geographic interval from among a plurality of geographic interval error values that is an error in the every predetermined geographic interval.
In the present embodiment, as an example of the geographic interval error value adjustment processing 1022, there will be described processing that reduces the number of each of the ionospheric delay errors and the tropospheric delay errors by extracting the ionospheric delay error and the tropospheric delay error every 180 km being three times as long as 60 km that is the grid point interval in each of the latitude direction and the longitude direction. Note that in the geographic interval error value adjustment processing 1022, the ionospheric delay error and the tropospheric delay error may be extracted every geographic interval being an integer multiple being twice or larger of the original grid point interval, not necessarily three times.
The bit count adjustment processing 1023 is processing that reduces a bit count of the error value for each error value.
In the present embodiment, as an example of the bit count adjustment processing 1023, there will be described processing that reduces the bit count, for each error value relevant to the carrier wave, starting from the least significant bit, such that the bit count after reduction is equal to any bit count between 60% and 80% of the bit count before the reduction. Note that in the bit count adjustment processing 1023, the bit count may be reduced starting from the least significant bit such that the bit count after the reduction is smaller than the bit count before the reduction, not necessarily equal to the bit count between 60% and 80% of the bit count before the reduction.
A reinforcement information output unit 103 outputs, to an output destination, the reinforcement information on the order of decimeters being the reinforcement information after the amount of information is reduced.
The output destination of the reinforcement information output unit 103 is an interface of the transmitter 700 or an interface of the wireless LAN network 800, for example.
***Description of Operation***
Next, an operational example of the information processing device 100 according to the present embodiment will be described.
First, in step S101, the reinforcement information generation unit 101 generates the reinforcement information on the order of centimeters.
Then in step S102, the reinforcement information adjustment unit 102 degrades the reinforcement information on the order of centimeters to generate the reinforcement information on the order of decimeters.
Finally, in step S103, the reinforcement information output unit 103 outputs the reinforcement information on the order of decimeters generated by the reinforcement information adjustment unit 102 to the output destination.
The output destination of the reinforcement information output unit 103 is the interface of the transmitter 700 or the interface of the wireless LAN network 800 as described above, for example.
Next, there will be described in detail the operation in step S102 illustrated in
First, in S1021, the reinforcement information adjustment unit 102 performs the update cycle adjustment processing.
The update cycle adjustment processing will be described in detail with reference to
A data stream of the reinforcement information on the order of centimeters is illustrated in (a) of
As illustrated in (a) of
Reinforcement information (t=0) is the reinforcement information on the order of centimeters transmitted from the quasi-zenith satellite 200 or the wireless LAN network 800 between time t=0 and time t=30.
Reinforcement information (t=30) is the reinforcement information on the order of centimeters transmitted from the quasi-zenith satellite 200 or the wireless LAN network 800 between time t=30 and time t=60.
The same applies to time t=60 onward.
During 30 seconds from time t=0 to time t=30, the satellite clock error, the satellite orbit error, the inter-frequency bias, the ionospheric delay error at each grid point, and the tropospheric delay error at each grid point at a measurement timing T0 (T0<(t=0)) are transmitted as the reinforcement information (t=0).
Then, during 30 seconds from time t=30 to time t=60, the satellite clock error, the satellite orbit error, the inter-frequency bias, the ionospheric delay error at each grid point, and the tropospheric delay error at each grid point at a new measurement timing T1(T1<(t=30)) are transmitted as the reinforcement information (t=30).
The same applies to time t=60 onward.
Note that, strictly speaking, the satellite clock error is transmitted five times during 30 seconds since a satellite time error is updated every five seconds, but the reinforcement information as a whole is updated in the cycle of 30 seconds.
As illustrated in (a) of
As illustrated in (b) of
In an example illustrated in (b) of
That is, the reinforcement information adjustment unit 102 transmits the reinforcement information (t=0) at a rate half the transmission rate in (a) of
The reinforcement information adjustment unit 102 does not select the following reinforcement information (t=30) between time t=30 and time t=60.
Moreover, the reinforcement information adjustment unit 102 selects the reinforcement information (t=60) between time t=60 and time t=90, and spends 60 seconds transmitting the reinforcement information (t=60).
That is, the reinforcement information adjustment unit 102 transmits the reinforcement information (t=60) at a rate half the transmission rate in (a) of
The reinforcement information adjustment unit 102 does not select the following reinforcement information (t=90) between time t=90 and time t=120.
Only the reinforcement information on the order of centimeters selected in the update cycle adjustment processing (S1021) is subjected to the processing from S1022 onward.
The number of pieces of reinforcement information on the order of centimeters to be subjected to the processing in S1022 is reduced by half when the update cycle adjustment processing (S1021) is performed by the method illustrated in (b) of
Referring back to
The reinforcement information adjustment unit 102 performs the geographic interval error value adjustment processing on each reinforcement information on the order of centimeters selected in S1021.
The geographic interval error value adjustment processing will be described in detail with reference to
Each point in
The reinforcement information on the order of centimeters selected in S1021 each includes the ionospheric delay error and the tropospheric delay error of all the grid points.
In S1022, the reinforcement information adjustment unit 102 reduces the number of each of the ionospheric delay errors and the tropospheric delay errors by selecting the ionospheric delay error and the tropospheric delay error every three grid points (180 km) in each of the latitude direction and the longitude direction from among the ionospheric delay errors and the tropospheric delay errors of all the grid points included in the reinforcement information on the order of centimeters.
As a result of the reduction, only the ionospheric delay error and the tropospheric delay error corresponding to the grid point filled in with black in
The number of each of the ionospheric delay errors and the tropospheric delay errors to be subjected to the processing in S1023 is reduced to one ninth when the geographic interval error value adjustment processing (S1022) is performed by the method illustrated in
That is, a multiplication of one third in the latitude direction by one third in the longitude direction gives one ninth overall.
Note that a reference numeral 701 and a reference numeral 702 in
The positioning device 600 can calculate estimated values (a reference numeral 703 and a reference numeral 704) of the ionospheric delay error and the tropospheric delay error at a grid point not included in the reinforcement information on the order of centimeters by performing linear interpolation between the ionospheric delay errors and the tropospheric delay errors (the reference numeral 701 and the reference numeral 702) included in the reinforcement information on the order of centimeters.
However, actual ionospheric delay error and tropospheric delay error can possibly have errors (a reference numeral 705 and a reference numeral 706) with respect to the estimated values (the reference numeral 703 and the reference numeral 704).
The reinforcement information adjustment unit 102 notifies of a decrease in reliability caused by the errors (the reference numeral 705 and the reference numeral 706) with respect to the estimated values at the grid point not included in the reinforcement information on the order of centimeters in the form of integrity information to be described later.
Referring back to
The bit count adjustment processing will be described in detail with reference to
In
The error value on the order of centimeters 801 is each error value included in the reinforcement information on the order of centimeters.
The error value on the order of decimeters 802 is an error value obtained after reducing the bit count of the error value on the order of centimeters 801.
In the bit count adjustment processing (S1023), the reinforcement information adjustment unit 102 reduces the bit count, for each error value relevant to the carrier wave, starting from the least significant bit (LSB), such that the bit count of the error value on the order of decimeters 802 is equal to any bit count between 60% and 80% of the bit count of the error value on the order of centimeters 801.
When the error value on the order of centimeters 801 has 20 bits, for example, the reinforcement information adjustment unit 102 reduces the bit count such that the bit count of the error value on the order of decimeters 802 is equal to any value between 12 bits and 16 bits.
The reinforcement information adjustment unit 102 reduces the satellite clock error, the satellite orbit error, and the inter-frequency bias included in the reinforcement information on the order of centimeters selected in S1021 and the bit count of each of the ionospheric delay error and the tropospheric delay error (the ionospheric delay error and the tropospheric delay error corresponding to the grid point filled in with black in
Note that the reinforcement information adjustment unit 102 notifies of the decrease in reliability caused by reducing the bit count in the form of the integrity information to be described later.
Through S1021 to S1023 described above, the amount of information in the reinforcement information on the order of centimeters is reduced to be the reinforcement information on the order of decimeters.
A bandwidth of 2 Kbps is required to transmit the reinforcement information on the order of centimeters, while a bandwidth at a level of 250 bps is sufficient to transmit the reinforcement information on the order of decimeters.
As a result, the data volume can be reduced to approximately one eighth by converting the reinforcement information on the order of centimeters into the reinforcement information on the order of decimeters.
Moreover, the reinforcement information adjustment unit 102 uses the reduced bit count and information on the reduced grid point to be able to calculate reliability of the reinforcement information when the amount of information therein is reduced, on the basis of reliability of the reinforcement information obtained from the reinforcement information on the order of centimeters.
The reinforcement information adjustment unit 102 can find the reliability of the reinforcement information on the order of decimeters by obtaining a root sum square (RSS) of the reliability of the reinforcement information on the order of centimeters, the decrease in the reliability caused by the bit reduction, and the decrease in the reliability caused by reducing the grid point.
That is, the reinforcement information adjustment unit 102 calculates a root sum square RSS of the error 705 and the error 706 illustrated in
The reinforcement information adjustment unit 102 then includes the reliability as the integrity information into the reinforcement information.
The reinforcement information adjustment unit 102 thus generates the integrity information notifying of the decrease in reliability of the positioning accuracy caused by the geographic interval error value adjustment processing and the bit count adjustment processing and includes the integrity information being generated into the reinforcement information on the order of decimeters.
The reinforcement information output unit 103 transmits the reinforcement information including the integrity information.
The integrity information allows a user who uses the reinforcement information on the order of decimeters to find reliability of a measurement result from the basis of the reinforcement information in real time and is an essential piece of information in controlling a moving body.
***Description of Effect***
According to the present embodiment described above, the reinforcement information on the order of centimeters is converted to the reinforcement information on the order of decimeters to be able to compress the data volume of the reinforcement information down to approximately one eighth and allow the communication bandwidth to be used effectively.
Moreover, as the reinforcement information on the order of centimeters requires 2 Kbps to be transmitted, an L6 frequency needs to be used when the information is transmitted from the quasi-overhead satellite or the like.
The reinforcement information on the order of decimeters can be transmitted at the level of 250 bps so that the L1, L2, or L5 frequency can be used when the information is transmitted from the quasi-overhead satellite or the like.
The smart phone, mobile phone, tablet terminal, and car navigation system generally support the L1, L2, or L5 frequency and can thus realize positioning with relatively high accuracy on the order of decimeters even without a circuit or the like for the L6 frequency.
There has been described the method of reducing the number of each of the ionospheric delay errors and the tropospheric delay errors in the first embodiment.
In the present embodiment, there will be described a method of generating reinforcement information on the order of decimeters without reducing the number of each of the ionospheric delay errors and the tropospheric delay errors.
***Description of Configuration***
In the present embodiment as well, a positioning system has an overall configuration as illustrated in
Note, however, that an operation of a reinforcement information adjustment unit 102 differs in the present embodiment.
As geographic interval error value adjustment processing 1022, the reinforcement information adjustment unit 102 of the present embodiment analyzes a plurality of geographic interval error values, calculates a coefficient value of a coefficient included in an approximate expression used to calculate an approximate value of the geographic interval error value for each geographic interval, and includes the coefficient value for each geographic interval into reinforcement information in place of the plurality of geographic interval error values.
That is, the reinforcement information adjustment unit 102 analyzes a plurality of ionospheric delay errors included in reinforcement information on the order of centimeters that is selected in S1021 of
The reinforcement information adjustment unit 102 further analyzes a plurality of tropospheric delay errors included in the reinforcement information on the order of centimeters that is selected in S1021 and calculates, for each grid point, a coefficient value of a coefficient included in an approximate expression used to calculate an approximate value of the tropospheric delay error at each grid point.
The reinforcement information adjustment unit 102 then includes, in place of the ionospheric delay error, the calculated coefficient value for each grid point into the reinforcement information on the order of centimeters that is selected in S1021.
Moreover, the reinforcement information adjustment unit 102 includes, in place of the tropospheric delay error, the calculated coefficient value for each grid point into the reinforcement information on the order of centimeters that is selected in S1021.
Note that in the present embodiment, what is different from the first embodiment will mainly be described.
Matters not described below are to the same as those of the first embodiment.
***Description of Operation***
In the present embodiment as well, an operation of the information processing device 100 is as illustrated in
Processing in S1022 in
The operation of the reinforcement information adjustment unit 102 according to the present embodiment will be described with reference to
Processing in S1021 of
That is, as illustrated in
In S1022, the reinforcement information adjustment unit 102 analyzes the plurality of ionospheric delay errors included in the reinforcement information on the order of centimeters that is selected in S1021 and calculates, for each grid point, the coefficient value of the coefficient included in the approximate expression used to calculate the approximate value of the ionospheric delay error at each grid point.
The reinforcement information adjustment unit 102 further analyzes the plurality of tropospheric delay errors included in the reinforcement information on the order of centimeters that is selected in S1021 and calculates, for each grid point, the coefficient value of the coefficient included in the approximate expression used to calculate the approximate value of the tropospheric delay error at each grid point.
The reinforcement information adjustment unit 102 then includes the calculated coefficient value for each grid point into the reinforcement information on the order of centimeters that is selected in S1021, in place of the ionospheric delay error at each grid point included in the reinforcement information on the order of centimeters that is selected in S1021.
Moreover, the reinforcement information adjustment unit 102 includes the calculated coefficient value for each grid point into the reinforcement information on the order of centimeters that is selected in S1021, in place of the tropospheric delay error at each grid point included in the reinforcement information on the order of centimeters that is selected in S1021.
A positioning device 600 is notified of the approximate expression for each of an electron layer delay error and the tropospheric delay error in advance and applies, to the approximate expression, a coefficient value included in reinforcement information on the order of decimeters 400 received from a quasi-zenith satellite 200 or a wireless LAN network 800 to be able to obtain the approximate value of each of the electron layer delay error and the tropospheric delay error at each grid point.
Each circle (∘) in
The positioning device 600 uses an approximate expression: (x, y)=ax2+by2+cx+dy+exy+f to be able to calculate the approximate value for the error value at each grid point.
In the approximate expression, x denotes a latitude of the position of the grid point, y denotes a longitude of the position of the grid point, each of a, b, c, d, and e denotes the coefficient value calculated for each grid by the reinforcement information adjustment unit 102, and f denotes a constant.
Note that while a second-order polynomial is illustrated as an example of the approximate expression, the approximate expression is not limited to a second-order expression.
The reinforcement information adjustment unit 102 analyzes the error value for each grid point and calculates the value of each of the coefficients a, b, c, d, and e in the approximate expression by a least squares method, for example.
The reinforcement information adjustment unit 102 then includes the value of each of the coefficients a, b, c, d, and e for each grid point into the reinforcement information on the order of centimeters that is selected in S1021, in place of the ionospheric delay error at each grid point included in the reinforcement information on the order of centimeters that is selected in S1021.
Moreover, the reinforcement information adjustment unit 102 includes the value of each of the coefficients a, b, c, d, and e for each grid point into the reinforcement information on the order of centimeters that is selected in S1021, in place of the tropospheric delay error at each grid point included in the reinforcement information on the order of centimeters that is selected in S1021.
While the positioning device 600 can calculate an estimated value of each of the ionospheric delay error and the tropospheric delay error for each grid point by the approximate expression, there is an error as illustrated in
The error is illustrated for only several grid points by reason of drawing in
The reinforcement information adjustment unit 102 notifies of a decrease in reliability caused by using the approximate expression in the form of integrity information to be described later.
Next, in S1023 of
The processing in S1023 is performed as illustrated in the first embodiment.
Note that the reinforcement information adjustment unit 102 does not reduce a bit count of the coefficient value (the value of each of the coefficients a, b, c, d, and e) included in the reinforcement information on the order of centimeters in S1022.
Through S1021 to S1023 described above, the amount of information in the reinforcement information on the order of centimeters is reduced to be the reinforcement information on the order of decimeters.
The conversion into the reinforcement information on the order of decimeters by the method according to the present embodiment can also reduce the data volume to approximately one eighth compared to the reinforcement information on the order of centimeters.
Moreover, the reinforcement information adjustment unit 102 uses the reduced bit count and the approximate expression for the geographic interval error value to be able to calculate reliability of the reinforcement information when the amount of information therein is reduced, on the basis of reliability of the reinforcement information obtained from the reinforcement information on the order of centimeters.
The reinforcement information adjustment unit 102 can find the reliability of the reinforcement information on the order of decimeters by obtaining a root sum square (RSS) of the reliability of the reinforcement information on the order of centimeters, the decrease in the reliability caused by the bit reduction, and the decrease in the reliability caused by using the approximate expression.
That is, the reinforcement information adjustment unit 102 calculates a root sum square RSS of each error illustrated in
The reinforcement information adjustment unit 102 then includes the reliability as the integrity information into the reinforcement information.
The reinforcement information adjustment unit 102 thus generates the integrity information notifying of the decrease in reliability of the positioning accuracy caused by the geographic interval error value adjustment processing and the bit count adjustment processing and includes the integrity information being generated into the reinforcement information on the order of decimeters.
A reinforcement information output unit 103 transmits the reinforcement information including the integrity information.
The integrity information allows a user who uses the reinforcement information on the order of decimeters to find reliability of a measurement result from the reinforcement information in real time and is an essential piece of information in controlling a moving body.
***Description of Effect***
According to the present embodiment as well, the reinforcement information on the order of centimeters is converted to the reinforcement information on the order of decimeters to be able to compress the data volume of the reinforcement information down to approximately one eighth and allow a communication bandwidth to be used effectively.
Moreover, a smart phone, a mobile phone, a tablet terminal, a car navigation system or the like can realize positioning with relatively high accuracy on the order of decimeters even without a circuit or the like for an L6 frequency.
Note that while there has been described in the first and second embodiments that the processing of generating the reinforcement information on the order of decimeters is performed in the order of the update cycle adjustment processing S1021, the geographic interval error value adjustment processing S1022 and the bit count adjustment processing S1023 as illustrated in
A positioning device 600 illustrated in
Note that while there will be described an example in the present embodiment that the positioning device 600 receives reinforcement information on the order of decimeters 400 and uses the reinforcement information on the order of decimeters 400 to perform satellite positioning, the reinforcement information on the order of decimeters 400 may be replaced by reinforcement information on the order of centimeters when the reinforcement information on the order of centimeters can be received to thus allow the positioning device to perform satellite positioning by using the reinforcement information on the order of centimeters.
***Description of Configuration***
Moreover,
An approximate position/satellite position calculation unit 601 receives observed data 501 and a broadcast ephemeris 502 from a GPS satellite 300 and calculates an approximate position of a positioning point and a position of each GPS satellite 300.
An approximate position 751 and a satellite position 752 are calculation results of the approximate position/satellite position calculation unit 601.
The approximate position 751 is a position of the positioning point that is calculated by independent positioning and accurate on the order of meters.
The satellite position 752 is a position of each GPS satellite 300 from which the positioning device 600 receives the observed data.
A correction data generation unit 602 receives the reinforcement information on the order of decimeters 400 from a quasi-zenith satellite 200 as well as acquires the approximate position 751 and the satellite position 752 to calculate correction data 753 from the reinforcement information on the order of decimeters 400, the approximate position 751 and the satellite position 752.
The correction data 753 indicates an error expected to be included in the observed data 501 that is received at the positioning point from each GPS satellite 300.
An observed data screening unit 603 eliminates the observed data 501 that is expected to be degraded in quality.
More specifically, the observed data screening unit 603 selects the observed data 501 to be used in positioning calculation from among the plurality of pieces of observed data 501 on the basis of an angle of elevation of the GPS satellite 300 being a positioning satellite from which the observed data 501 is transmitted as well as received signal strength of the observed data 501.
The observed data screening unit 603 for example has a threshold table in which a plurality of ranges of the angle of elevation is indicated and, for each range of the angle of elevation, a threshold of the received signal strength is defined.
The observed data screening unit 603 then refers to the threshold table and selects a piece of observed data 501 when the received signal strength of the observed data 501 is higher than or equal to a threshold of the received signal strength defined in association with a range of the angle of elevation corresponding to the angle of elevation of the GPS satellite 300 from which the observed data is transmitted.
An observed data error correction unit 604 performs double difference calculation to output double difference data 754 of the observed data.
The double difference data 754 indicates a value obtained by subtracting observed data of a master satellite (observed data already corrected by using the correction data 753) from observed data of a slave satellite (observed data already corrected by using the correction data 753).
A time extrapolation calculation unit 605 performs time extrapolation calculation to estimate a state quantity X (t) of a current epoch from a state quantity X̂ (t−Δt) of a previous epoch.
More specifically, the time extrapolation calculation unit 605 estimates the state quantity X (t) by using process noise adjusted by a process noise adjustment unit 611 to be described later.
Note that notation in which “̂” lies directly above “X” in
Moreover, “̂” indicates a state quantity after being updated by an observation update calculation unit 608 to be described.
Note that the state quantity X (t) corresponds to the position and speed of the positioning device 600.
A geometric distance calculation unit 606 calculates a geometric distance 755 from the GPS satellite 300 to the positioning point on the basis of the satellite position 752.
A residual calculation unit 607 calculates a double difference residual 756 from the double difference data 754 and the geometric distance 755.
The observation update calculation unit 608 updates the state quantity X (t) such that the state quantity X (t) has the smallest estimated error.
More specifically, the observation update calculation unit 608 updates the state quantity X (t) by using observation noise calculated by an observation noise calculation unit 612 to be described later.
The state quantity X (t) after being updated by the observation update calculation unit 608 is denoted as a state quantity X̂ (t).
Note that a range enclosed with a dashed line in
The positioning calculation unit 609 performs positioning calculation by using the process noise adjusted by the process noise adjustment unit 611 and the observation noise calculated by the observation noise calculation unit 612.
A carrier smoothing processing unit 610 performs carrier smoothing on the observed data 501 (a pseudorange and a carrier phase).
The process noise adjustment unit 611 adjusts the process noise used in the positioning calculation by the positioning calculation unit 609 (more specifically the time extrapolation calculation unit 605) according to the type of a moving body in which the positioning device 600 is arranged.
The process noise adjustment unit 611 selects process noise smaller in the altitude direction than a default value when the moving body in which the positioning device 600 is arranged is any of a vehicle, a train and a ship, for example.
The observation noise calculation unit 612 uses integrity information included in the reinforcement information to calculate the observation noise used in the positioning calculation.
The integrity information is a piece of information presenting “certainty” of a positioning signal and is used at the time of determining whether a positioning result can be used safely.
***Description of Operation***
In the present embodiment, there will be described the operation of mainly the observed data screening unit 603, the time extrapolation calculation unit 605, the observation update calculation unit 608, the process noise adjustment unit 611 and the observation noise calculation unit 612.
The observed data screening unit 603 selects the observed data 501 to be subjected to the processing by the observed data error correction unit 604 and beyond, from among the pieces of the observed data 501 on which the carrier smoothing is already performed by the carrier smoothing processing unit 610.
The observed data screening unit 603 selects the observed data 501 to be subjected to the processing by the observed data error correction unit 604 and beyond from among the plurality of pieces of the observed data 501 on the basis of the angle of elevation of the GPS satellite 300 from which the observed data 501 is transmitted as well as the received signal strength of the observed data 501.
A positioning device has conventionally performed screening on observed data used in positioning calculation on the basis of received signal strength, where there has been uniformly applied a common threshold of the received signal strength regardless of the angle of elevation between the GPS satellite 300 and the positioning device.
There is a correlation between the angle of elevation of a satellite and the received signal strength where, in general, the received signal strength of the observed data increases as the angle of elevation of the satellite increases.
When the received signal strength of observed data from a certain GPS satellite 300 largely falls below the received signal strength from another GPS satellite 300 when the another GPS satellite 300 is at an equal angle of elevation, for example, it is presumed that quality of the observed data from the GPS satellite 300 is not very good even when the received signal strength of the GPS satellite 300 exceeds the uniform threshold.
Therefore, in the present embodiment, the observed data screening unit 603 considers the correlation between the angle of elevation between the positioning device 600 and the GPS satellite 300 and the received signal strength of the observed data to select the observed data 501 to be used in the positioning calculation.
The observed data screening unit 603 holds a threshold table illustrated in
In the threshold table of
That is, in
Note that in
The threshold table in
The observed data screening unit 603 calculates the angle of elevation of the GPS satellite 300 from which the observed data 501 is transmitted, on the basis of the satellite position 752 calculated by the approximate position/satellite position calculation unit 601.
The observed data screening unit 603 then refers to the threshold table in
The observed data screening unit 603 outputs only the selected observed data 501 to the observed data error correction unit 604.
In order for the positioning calculation unit 609 to perform positioning calculation, the observed data screening unit 603 needs to select four or more of the observed data 501.
Next, there will be described a Kalman filter realizing the time extrapolation calculation unit 605 and the observation update calculation unit 608.
The time extrapolation calculation unit 605 performs time extrapolation calculation of the Kalman filter illustrated in
Moreover, the observation update calculation unit 608 performs observation update calculation of the Kalman filter illustrated in
The time extrapolation calculation and the observation update calculation form a single loop, the loop formed by the time extrapolation calculation and the observation update calculation is executed repeatedly.
The Kalman filter estimates a state quantity such that a diagonal element of an error variance (error variance matrix Pij=E<xixj>, where E <a> is a variance of “a”) of the estimated state quantity (state quantity X) is the smallest in each loop being repeated.
Processing performed in the Kalman filter will be described in due order.
In the time extrapolation calculation, from a state quantity (x̂(−)) and an error variance matrix (P̂(−)) of a previous time, a state quantity (x (+)) and an error covariance matrix (P (+)) of a following time are estimated based on a transition matrix φ determined according to a dynamic model being adopted.
At this time, process noise Q that is an error expected between the dynamic model and an actual phenomenon is added to the error covariance matrix (P̂(−)).
The process noise Q is also determined according to the dynamic model and design being adopted.
From the estimated state quantity (x (+)), an amount y− equivalent to an observation amount (y− represents that “−” lies directly above “y”; the same applies hereinafter) is obtained, the amount y− being estimated by an observation model (y−=f (x)) expressing a relationship between the state quantity and the observation amount.
In the observation update calculation, a residual (dz=y−y−) being a difference between an actual observation amount and the estimated observation amount is obtained and converted into a difference in the state quantity (dx=K·dz) by using Kalman gain K expressed in an expression in
An observation matrix used in the observation update calculation expresses the observation model and is obtained by the following expression.
[Expression 1]
dz=H·dx(dz=y−
Moreover, R included in the denominator of the expression of the Kalman gain K represents observation noise expected to be included in the observation amount.
The process noise adjustment unit 611 adjusts the process noise provided to the time extrapolation calculation unit 605.
Default process noise Q3 has an X component (east-west direction), a Y component (north-south direction) and a Z component (altitude direction) that are equal to one another with no anisotropy as illustrated in (a) of
However, a vehicle, train or ship shifts in the altitude direction in a gentle manner.
It is thus desired to set the process noise in the altitude direction smaller than a default value when the vehicle, train or ship is the moving body in which the positioning device 600 is arranged.
Accordingly, in the present embodiment, the process noise adjustment unit 611 selects f⊥(0<f⊥<<1) as the value of the process noise in the altitude direction when the moving body is any of the vehicle, train and ship (when the positioning device 600 is mounted in any of the vehicle, train and ship).
The process noise adjustment unit 611 then outputs process noise Q195 including f⊥ to the time extrapolation calculation unit 605, which uses Q⊥ to perform the time extrapolation calculation illustrated in
On the other hand, when the moving body in which the positioning device 600 is arranged is a user (human), namely when the user carrying the positioning device 600 is on the move on foot (when the positioning device 600 is not mounted in the vehicle, train or ship), the process noise adjustment unit 611 outputs the default process noise Q3 to the time extrapolation calculation unit 605, which uses Q3 to perform the time extrapolation calculation illustrated in
Moreover, when the moving body in which the positioning device 600 is arranged is an airplane, the process noise adjustment unit 611 outputs the default process noise Q3 to the time extrapolation calculation unit 605, which uses Q3 to perform the time extrapolation calculation illustrated in
Note that the type of the moving body in which the positioning device 600 is arranged is input to the positioning device 600 by the user, for example, the type being the vehicle, train or ship, the user (human), or the airplane.
Moreover, in
Furthermore, each of Q3 and Q⊥ is a matrix (process noise) in the enu coordinate system, and f⊥ is the value of the process noise in the altitude direction when the moving body is any of the vehicle, train and ship.
The observation noise calculation unit 612 calculates the observation noise provided to the observation update calculation unit 608.
The smaller the angle of elevation, the higher the possibility that a satellite signal is affected by an obstacle such as a building or mountain and the longer the distance for which the signal passes through the atmosphere and ionosphere causing a signal delay, so that the observation noise of the satellite signal with the small angle of elevation is conventionally large as illustrated in (a) of
Low weighting is set to the observed data from a satellite having a large value of the observation noise in the observation update calculation performed by the observation update calculation unit 608 and, as a result, the data is reflected in a measurement result with a small ratio.
The reinforcement information includes the integrity information.
In the integrity information, a high value is set to observed data from a satellite that is considered low in quality, whereas a low value is set to observed data from a satellite that is considered high in quality.
As described above, the observed data from the satellite with the small angle of elevation is likely to be low in quality so that the observed data from the satellite having the small angle of elevation and considered low in quality is desirably reflected in the positioning result with a small ratio.
The observation noise calculation unit 612 according to the present embodiment uses the integrity information in calculating the observation noise to set the observation noise more properly.
More specifically, as illustrated in (b) of
The observation noise calculation unit 612 outputs observation noise R being a matrix of observation noise σi calculated by the formula illustrated in (b) of
Note that in
Moreover, n denotes the number of satellites captured by the positioning device 600, and eli denotes the angle of elevation of the satellite i.
Furthermore, Ii denotes the integrity information of the satellite i.
The observation noise calculation unit 612 calculates the angle of elevation of the satellite i on the basis of the satellite position 752 calculated by the approximate position/satellite position calculation unit 601.
***Description of Effect***
Therefore, according to the present embodiment, the observed data screening unit 603 selects the observed data used in the positioning calculation while considering the angle of elevation of the satellite, whereby the observed data with good quality can be selected more accurately.
Moreover, according to the present embodiment, the process noise adjustment unit 611 selects the process noise according to the type of the moving body, whereby the positioning accuracy can be improved by using the process noise appropriate for the type of the moving body.
Furthermore, according to the present embodiment, the observation noise calculation unit 612 uses the integrity information to calculate the observation noise, whereby the positioning accuracy can be improved by increasing the weighting on the observed data with high quality and decreasing the weighting on the observed data with low quality.
These effects can then compensate for a decrease in the positioning accuracy caused by the use of the reinforcement information on the order of decimeters.
Another embodiment of a positioning device 600 will be described in the present embodiment.
***Description of Configuration***
In the present embodiment as well, an example of the configuration of the positioning device 600 is as illustrated in
However, in the present embodiment, when n (n≧5) pieces of observed data is selected on the basis of an angle of elevation of a satellite and received signal strength, an observed data screening unit 603 repeats an operation of selecting m (m≧4 and m<n) pieces of observed data from among the n pieces of observed data. The observed data screening unit 603 then generates k (k≧4 and k≦n) data sets, each of which is a data set formed of the m pieces of observed data and has a different combination of the m pieces of observed data.
Moreover, in the present embodiment, an observation update calculation unit 608 of a positioning calculation unit 609 performs observation update calculation on the m pieces of observed data making up the data set for each data set, and selects any data set from among the k data sets on the basis of a variance of a residual (double difference residual) before the observation update calculation of each data set and a variance of a residual (double difference residual) after the observation update calculation of each data set.
More specifically, the observation update calculation unit 608 extracts a data set having the smallest variance of the residual after the observation update calculation, and compares the variance of the residual after the observation update calculation of the extracted data set with a variance of a residual after update calculation of a data set having the second smallest variance of a residual after the observation update calculation.
When there is a significant difference between the variances, the observation update calculation unit 608 determines whether or not a variance of a residual before the observation update calculation of the extracted data set is equal to or smaller than a threshold, and selects the extracted data set when the variance of the residual before the observation update calculation of the extracted data set is equal to or smaller than the threshold.
The observation update calculation unit 608 then handles the residual (double difference residual) in the extracted data set being selected as a state quantity X̂ (t).
An operation of each of a process noise adjustment unit 611 and an observation noise calculation unit 612 is the same as that illustrated in the third embodiment.
Moreover, in the third embodiment, an approximate position/satellite position calculation unit 601, a correction data generation unit 602, an observed data error correction unit 604, a time extrapolation calculation unit 605, a geometric distance calculation unit 606 and a residual calculation unit 607 perform processing on the four or more pieces of observed data selected by the observed data screening unit 603 whereas, in the present embodiment, the k data sets each formed of the m pieces of observed data is subjected to the processing.
However, except for the k data sets being subjected to the processing, an operation of each of the approximate position/satellite position calculation unit 601, the correction data generation unit 602, the observed data error correction unit 604, the time extrapolation calculation unit 605, the geometric distance calculation unit 606 and the residual calculation unit 607 is the same as that illustrated in the third embodiment.
That is, each of the approximate position/satellite position calculation unit 601, the correction data generation unit 602, the observed data error correction unit 604, the time extrapolation calculation unit 605, the geometric distance calculation unit 606 and the residual calculation unit 607 performs processing identical to that of the third embodiment on each data set.
***Description of Operation***
Next, an example of the operation of the positioning device 600 according to the present embodiment will be described with reference to
Since the operation of each of the observed data screening unit 603 and the observation update calculation unit 608 of the present embodiment is different from that of the third embodiment, there will be described an example of the operation of mainly the observed data screening unit 603 and the observation update calculation unit 608.
That is,
The observed data screening unit 603 generates a data set by selecting five pieces of observed data from among the six pieces of observed data.
Here, the data set generated first is referred to as a data set #1.
In the example of
The observed data screening unit 603 outputs the generated data set #1 to the observed data error correction unit 604.
The observed data error correction unit 604 performs double difference calculation on the data set #1 as with the third embodiment and generates double difference data 754.
Moreover, the residual calculation unit 607 calculates a double difference residual 756 as with the third embodiment on the basis of the double difference data 754 generated from the data set #1 and a geometric distance 755.
The observation update calculation unit 608 performs the observation update calculation on the double difference residual 756 for the data set #1.
The observation update calculation unit 608 further calculates a variance of the double difference residual 756 before the observation update calculation for the data set #1 and a variance of the double difference residual 756 after the observation update calculation for the data set #1.
The processing performed up to this point corresponds to a first round of loop.
Next, as processing performed in a second round of loop, the observed data screening unit 603 generates a new data set by selecting five pieces of observed data with a combination different from that of the data set #1, from among the six pieces of observed data.
Here, the data set generated in the second round of loop is referred to as a data set #2.
In the example of
The processing identical to that performed on the data set #1 is performed on the data set #2. The observation update calculation unit 608 calculates a variance of the double difference residual 756 before the observation update calculation for the data set #2 and a variance of the double difference residual 756 after the observation update calculation for the data set #2.
The processing performed up to this point corresponds to the second round of loop.
Likewise, processing from a third round of loop to a sixth round of loop is performed from then on such that the observed data screening unit 603 generates data sets #3 to #6 while the observation update calculation unit 608 calculates a variance of the double difference residual 756 before the observation update calculation and a variance of the double difference residual 756 after the observation update calculation with respect to each of the data sets #3 to #6.
Although the data sets #5 and #6 are omitted from
Moreover, in
Furthermore, in each of the residual before observation update and the residual after observation update, a variance of a residual in loop 1 corresponds to the variance of the residual in the data set #1.
The same applies to loop 2 and onward.
Once the processing on the sixth round of loop is completed with the variance of the residual in each of loop 1 to loop 6 obtained for both before and after the observation update, the observation update calculation unit 608 extracts a data set with the smallest variance after the observation update and a data set with the second smallest variance.
Here, it is assumed that the variance of the data set #2 is the smallest and that the variance of the data set #3 is the second smallest.
The observation update calculation unit 608 determines whether or not there is a significant difference between the variance of the data set #2 and the variance of the data set #3.
There may be prepared, for example, a threshold for the difference in the variance (a difference threshold) so that the observation update calculation unit 608 determines there is the significant difference when the difference between the variance of the data set #2 and the variance of the data set #3 exceeds the difference threshold.
When there is the significant difference between the variance of the data set #2 and the variance of the data set #3, the observation update calculation unit 608 determines whether or not the variance before the observation update of the data set #2 is small enough.
There may be prepared, for example, a threshold for the variance before the observation update (a variance threshold before observation update), so that the observation update calculation unit 608 determines the variance before the observation update is small enough when the variance before the observation update of the data set #2 is smaller than or equal to the variance threshold before observation update.
When the variance before the observation update is small enough, the observation update calculation unit 608 selects the data set #2 and handles the double difference residual 756 after the observation update of the data set #2 as the state quantity X̂ (t) in
***Description of Effect***
Therefore, according to the present embodiment, there can be obtained the combination of the observed data with which a more accurate positioning result can be obtained.
Note that while the operation of each of the process noise adjustment unit 611 and the observation noise calculation unit 612 is the same as that of the third embodiment, the operation of each of the process noise adjustment unit 611 and the observation noise calculation unit 612 need not be the same as that of the third embodiment.
That is, the process noise adjustment unit 611 may be adapted to output default process noise Q3 illustrated in (a) of
Moreover, the observation noise calculation unit 612 may be adapted to calculate observation noise σi according to the expression illustrated in (a) of
Furthermore, while the observed data screening unit 603 described above selects the n pieces of observed data by using the threshold of the received signal strength for each angle of elevation of a satellite as with the third embodiment, the n pieces of observed data may be selected by using a uniform threshold for the received signal strength not involving the angle of elevation of a satellite.
Moreover, while there has been described in the third and fourth embodiments the example of operation of the positioning device 600 that receives the reinforcement information on the order of decimeters 400, a positioning device receiving reinforcement information on the order of centimeters may be adapted to perform the same operation.
That is, the positioning device receiving the reinforcement information on the order of centimeters may select observed data to be used in positioning calculation from among a plurality of pieces of observed data on the basis of the angle of elevation of a satellite and the received signal strength of the observed data.
The integrity information included in the reinforcement information on the order of centimeters may also be used to calculate the observation noise.
The positioning device receiving the reinforcement information on the order of centimeters may also be adapted to adjust the process noise according to the type of the moving body.
Moreover, the positioning device receiving the reinforcement information on the order of centimeters may be adapted to generate k data sets from the n pieces of observed data and select any data set from among the k data sets on the basis of a variance of a residual before the observation update calculation of each data set and a variance of a residual after the observation update calculation of each data set.
Furthermore, while there has been described in the third and fourth embodiments the example where the positioning device 600 receives the reinforcement information on the order of decimeters 400 from the quasi-zenith satellite 200, the reinforcement information on the order of decimeters 400 may be received from a satellite other than the quasi-zenith satellite 200 or from the wireless LAN network 800 providing a wireless LAN environment.
Specifically, where the positioning device 600 receives the reinforcement information on the order of decimeters 400 from a satellite other than the quasi-zenith satellite 200, the positioning device 600 may include a receiver used to receive a signal from the satellite and input, to the correction data generation unit 602, the reinforcement information on the order of decimeters 400 received by the receiver.
Alternatively, where the positioning device 600 receives the reinforcement information on the order of decimeters 400 from the wireless LAN network 800, the positioning device 600 may include a wireless LAN receiver and input, to the correction data generation unit 602, the reinforcement information on the order of decimeters 400 received by the wireless LAN receiver.
Lastly, an example of a hardware configuration of each of the information processing device 100 and the positioning device 600 according to the first to fourth embodiments will be described with reference to
Each of the information processing device 100 and the positioning device 600 is a computer that can implement each component in each of the information processing device 100 and the positioning device 600 by a program.
Each of the information processing device 100 and the positioning device 600 has the hardware configuration in which an arithmetic unit 901, an external storage 902, a main storage 903, a communication unit 904 and an input/output unit 905 are connected to a bus.
The arithmetic unit 901 is a CPU (Central Processing Unit) executing the program.
The external storage 902 is a ROM (Read Only Memory), a flash memory and/or a hard disk device, for example.
The main storage 903 is a RAM (Random Access Memory).
In the positioning device 600, the communication unit 904 receives the observed data and the broadcast ephemeris from the GPS satellite and receives the reinforcement information from the quasi-zenith satellite or the wireless LAN network.
Moreover, the communication unit 904 in the positioning device 600 includes an AD (analog-digital) conversion function.
The input/output unit 905 is a touch panel display, for example.
The program usually stored in the external storage 902 is sequentially read into the arithmetic unit 901 and executed while loaded to the main storage 903.
The program is a program implementing the function that is described as “. . . unit” in
Moreover, the external storage 902 stores an operating system (OS), at least a part of which is loaded to the main storage 903 so that the arithmetic unit 901 executes the program implementing the function of the “. . . unit” illustrated in
Furthermore, the main storage 903 stores as a file a piece of information, data, a signal value and a variable value representing the result of the processing described as “correction of . . . ”, “generation of . . . ”, “creation of . . . ”, “computation of . . . ”, “calculation of . . . ”, “adjustment of . . . ”, “determination of . . . ”, “evaluation of . . . ”, “update of . . . ”, “estimation of . . . ”, “extraction of . . . ”, “selection of . . . ”, “reception of . . . ” and the like in the first to fourth embodiments.
Note that the configuration in
While the embodiments of the present invention have been described, two or more of those embodiments may be combined and implemented.
Alternatively, one of those embodiments may be partially implemented.
Yet alternatively, two or more of those embodiments may be partially combined and implemented.
Note that the present invention is not to be limited by those embodiments but can be modified in various manners as needed.
100: information processing device, 101: reinforcement information generation unit, 102: reinforcement information adjustment unit, 103: reinforcement information output unit, 200: quasi-zenith satellite, 300: GPS satellite, 400: reinforcement information on the order of decimeters, 500: positioning signal, 600:
positioning device, 601: approximate position/satellite position calculation unit, 602: correction data generation unit, 603: observed data screening unit, 604: observed data error correction unit, 605: time extrapolation calculation unit, 606: geometric distance calculation unit, 607: residual calculation unit, 608: observation update calculation unit, 609: positioning calculation unit, 610: carrier smoothing processing unit, 611: process noise adjustment unit, 612: observation noise calculation unit, 700: transmitter, 800: wireless LAN network, 1021: update cycle adjustment processing, 1022: geographic interval error value adjustment processing, and 1023: bit count adjustment processing
| Number | Date | Country | Kind |
|---|---|---|---|
| 2014-221755 | Oct 2014 | JP | national |
| Filing Document | Filing Date | Country | Kind |
|---|---|---|---|
| PCT/JP2015/080657 | 10/30/2015 | WO | 00 |
