JP2008039738A - Positioning method - Google Patents
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Abstract
Description
本発明は、測位方法に関するものである。 The present invention relates to a positioning method.
移動端末と位置が既知の複数の基地局との間で無線信号による交信を行い、無線信号の到達時間を利用して移動端末の位置を求める測位方法としては、特許文献1に記載されたものが知られている。
この従来例において、移動局は基地局(基準局)からの応答要求無線に応答して応答無線信号を送信する。応答無線信号は、基準局および適数個の受信装置(基地局)において受信され、受信時刻が計測される。 In this conventional example, the mobile station transmits a response radio signal in response to a response request radio from the base station (reference station). The response radio signal is received by the reference station and an appropriate number of receiving apparatuses (base stations), and the reception time is measured.
電波の伝搬速度と基準局、基地局間の距離は既知であるために、移動局の位置は、
||Pt - Pj| - |Pt - P1|| = c(R_{_m@j,1} - R{t_m@1,1})
但し、Ptは移動局の位置、P1は基準局の位置、
Pjは第j番目の基地局の位置、
R{t_m@1,1})は基準局における受信時刻、R_{_m@j,1}は第j番目の基地局での受信時刻
の関係式を連立させた解として与えられる。
|| Pt-Pj |-| Pt-P1 || = c (R _ {_ m @ j, 1}-R {t_m @ 1,1})
Where Pt is the position of the mobile station, P1 is the position of the reference station,
Pj is the position of the jth base station,
R {t_m @ 1,1}) is given as a solution in which the relational expression of the reception time at the base station and R _ {_ m @ j, 1} are simultaneous with the reception time at the jth base station.
しかし、上述した従来例における関係式は、基準局と移動局との距離に対する相対距離として与えられるために、解を求めるには、多数の基地局が必要になるという問題がある。例えば、移動局の2次元位置は、三辺測量によって、最低1個の基準局と、1個の基地局からの距離が解れば求めることができるが、上記解を求めるためには、最低でも1個の基準局と、2個の基地局が必要となる。 However, since the relational expression in the above-described conventional example is given as a relative distance with respect to the distance between the reference station and the mobile station, there is a problem that a large number of base stations are required to obtain a solution. For example, the two-dimensional position of the mobile station can be obtained if the distance from at least one reference station and one base station is obtained by triangulation, but at least 1 is required to obtain the above solution. One reference station and two base stations are required.
本発明は、以上の欠点を解消すべくなされたものであって、必要基地局数を低減させることのできる測位方法の提供を目的とする。 The present invention has been made to solve the above drawbacks, and an object of the present invention is to provide a positioning method capable of reducing the number of necessary base stations.
2点に配置された送受信局間の距離は、2局間で測距用無線信号を往復させ、各局における送受信時刻差を利用することに求めることができる。すなわち、端末a、b間の距離をLab、端末a、bにおける測距用無線信号の送信時刻をTa1、Tb2、受信時刻をTb1、Ta2、端末間の時計のオフセットをToab、光速をVc、とすると、
Tb1 + Toab = Ta1 + Lab/Vc
Ta2 = Tb2 + Toab + Lab/Vc
の関係が成立し、端末間距離は、Toabを消去した、
Lab = Vc {(Ta2 - Ta1) - (Tb2 - Tb1) }/2 (式1)
として求めることができる。
The distance between transmitting / receiving stations arranged at two points can be obtained by using a transmission / reception time difference at each station by reciprocating a ranging radio signal between the two stations. That is, the distance between terminals a and b is Lab, the transmission time of ranging radio signals at terminals a and b is Ta1 and Tb2, the reception time is Tb1 and Ta2, the clock offset between terminals is Toab, the speed of light is Vc, Then,
Tb1 + Toab = Ta1 + Lab / Vc
Ta2 = Tb2 + Toab + Lab / Vc
Is established, the inter-terminal distance is the Toab deleted,
Lab = Vc {(Ta2-Ta1)-(Tb2-Tb1)} / 2 (Formula 1)
Can be obtained as
したがって、端末aを位置が既知な基準局R、端末bを移動端末Mとし、基準局Rからの測距用無線信号に対する移動端末Mからの応答無線信号に(Tb2 - Tb1)、すなわち、携帯端末が応答無線信号を返信するまでの遅延時間を載せると、基準局Rにおいて携帯端末までの距離を求めることができる。 Therefore, the terminal a is a reference station R whose position is known, the terminal b is a mobile terminal M, and the response radio signal from the mobile terminal M to the ranging radio signal from the reference station R is (Tb2-Tb1), that is, the mobile terminal When the delay time until the response wireless signal is returned is included, the reference station R can determine the distance to the portable terminal.
例えば、位置既知点からの距離により任意点の2次元位置を知るためには、2箇所の位置既知点が必要であり、2箇所の基準局Rと移動端末Mとの間で上述した交信を行うことにより、移動端末Mの位置を求めることができる。 For example, in order to know the two-dimensional position of an arbitrary point based on the distance from the position known point, two position known points are necessary, and the above-described communication is performed between the two reference stations R and the mobile terminal M. Thus, the position of the mobile terminal M can be obtained.
しかし、この場合、2回の移動端末Mからの送信が必要となり、移動端末Mの電力消費量が大きくなる。 However, in this case, transmission from the mobile terminal M is required twice, and the power consumption of the mobile terminal M increases.
本発明は、この問題を解決するために、2局間での往復交信による測距方法を採用するとともに、基準局Rから送信される測距用無線信号を基地局Bで受信することにより基準局Rと基地局Bとの時計のずれを補正し、移動端末Mからの応答無線信号を基地局Bにより受信することにより、移動端末Mの測距を行う。 In order to solve this problem, the present invention employs a distance measurement method based on reciprocal communication between two stations, and receives a distance measurement radio signal transmitted from the reference station R at the base station B. The base station B corrects the time difference between the clock and the base station B, and receives the response radio signal from the mobile terminal M by the base station B, thereby measuring the distance of the mobile terminal M.
この結果、基準局Rおよび移動端末Mからの1回の電波送信により移動端末Mの測位を行うことができる。また、移動端末Mの2次元位置を測位する場合には、最低、1個の基準局Rと1個の基地局Bを用意するだけで足りる。 As a result, the positioning of the mobile terminal M can be performed by one radio wave transmission from the reference station R and the mobile terminal M. In order to measure the two-dimensional position of the mobile terminal M, it is sufficient to prepare at least one reference station R and one base station B.
本発明によれば、必要基地局数を低減させることができる。 According to the present invention, the number of necessary base stations can be reduced.
図1に本発明が適用された測位システムを示す。測位システムは、1個の基準局Rと、適数の基地局Bと、これら基準局R、基地局Bに有線LAN1を介して接続される測位サーバ2と、測位対象である移動端末Mとを有して構成される。基準局Rおよび基地局Bの位置は適宜手段により予め計測されている。
FIG. 1 shows a positioning system to which the present invention is applied. The positioning system includes one reference station R, an appropriate number of base stations B, a
図2に示すように、基準局Rは測距用無線信号を送信するための送信部3rを有する。測位開始命令を受けると、基準局Rは、送信部3rに測距用無線信号をセットし、アンテナから送信する。測距用無線信号の送信時刻は基準局R内に用意された時計Crにより計測され、計測結果が測距用無線信号送信時刻保持部4rに格納される。
As shown in FIG. 2, the reference station R has a
5rは受信部であり、移動端末Mからの応答無線信号を受信すると上記時計Crにより受信時刻を計測し、計測結果を応答無線信号受信時刻保持部6rに格納する。また、受信部5rにおいて受信した応答無線信号は、受信データ保持部7rに格納される。
A receiving
基地局Bは、上記基準局Rから送信される測距用無線信号と、移動端末Mから送信される応答無線信号を受信する受信部5bを備える。受信部5bが上記いずれかの無線信号を受信すると、内蔵された時計Cbにより受信時刻を計測し、受信信号が測距用無線信号である場合には、計測結果を測距用無線信号受信時刻保持部8bに、応答無線信号である場合には、応答無線信号受信時刻保持部6bに各々格納する。
The base station B includes a receiving
一方、移動端末Mは、基準局Rからの測距用無線信号を受信する受信部5mを備える。測距用無線信号を受信部5mが受信すると、内蔵の時計Cmにより受信時刻を計測し、計測結果を測距用無線信号受信時刻保持部8mに格納する。
On the other hand, the mobile terminal M includes a receiving
また、受信部5mが測距用無線信号を受信すると、図外の制御部は、送信データ作成部9mに応答無線信号をセットし、送信部3mから送信する。応答無線信号は、受信部5mにおいて測距用無線信号を受信してから応答無線信号を送信部3mから送信するまでの遅延時間情報を含んでおり、送信部3mにおける送信時刻は、応答無線信号送信時刻保持部10mに格納される。
When the
以上のシステムを使用した移動端末Mの測位方法を図1により説明する。なお、図1(a)において破線は無線による交信を、実線は有線LAN1による交信を示し、図中の小文字のローマ数字は以下に説明するステップ番号に対応する。
A positioning method of the mobile terminal M using the above system will be described with reference to FIG. In FIG. 1A, a broken line indicates wireless communication, a solid line indicates communication via the
まず、測位に際し、基準局Rから測距用無線信号を送信し(ステップS1)、送信時刻を測位サーバ2に転送する(ステップS2)。測距用無線信号は、移動端末Mと基地局Bにおいて受信され、基地局Bで計測された自局の時計Cbにより計測した受信時刻を測位サーバ2に転送される(ステップS3)。 First, at the time of positioning, a ranging radio signal is transmitted from the reference station R (step S1), and the transmission time is transferred to the positioning server 2 (step S2). The ranging radio signal is received by the mobile terminal M and the base station B, and the reception time measured by the clock Cb of the own station measured by the base station B is transferred to the positioning server 2 (step S3).
一方、測距用無線信号を受信した移動端末Mは、自局の時計Cmにより計時した受信時刻を測距用無線信号受信時刻保持部8mに保持した後、送信データ作成部9mで応答無線信号を生成し(ステップS4)、送信する(ステップS5)。上述したように、応答無線信号には、遅延時間情報が含まれる。
On the other hand, the mobile terminal M that has received the ranging radio signal holds the reception time measured by its own clock Cm in the ranging radio signal reception
応答無線信号を受信した基準局Rは自局の時計Crにより計測した受信時刻と、移動端末Mから送信された遅延時間情報を、基地局Bは自局の時計Cbにより計測した受信時刻を測位サーバ2に転送する(ステップS6)。 The reference station R that has received the response radio signal receives the reception time measured by its own clock Cr and the delay time information transmitted from the mobile terminal M, and the base station B obtains the reception time measured by its own clock Cb. 2 (step S6).
基準局Rと基地局Bからデータ転送を受けた測位サーバ2は、測位計算部11において、以下の方法により移動端末Mと基準局R、基地局B間の距離を演算した後、これら距離情報に三辺測量の手法を適用して位置情報を演算する(ステップS7)。
The
すなわち、基準局Rの時計Crを基準として移動端末M、基地局Bの時計Cm、CbのずれをTom、Toa、Tob(以下、変数に付されたアルファベットの添え字は局種を、数字の添え字は信号種を示し、基準局Rには"r"、2個の基地局Bに対しては"a"、"b"、移動端末Mに対しては"m"を付す。また、数字"1"は測距用無線信号を、添え字"2"は応答無線信号を示す。)、距離をL(上述した添え字付与規則に従って、基準局Rと移動端末Mの距離はLmr、一方の基地局Bと移動端末Mの距離はLam、他方の基地局Bと移動端末Mの距離はLbm、基準局Rと基地局Bの距離はLar、Lbr)、送受信時刻T(基準局Rの測距用無線信号の送信時刻はTr1、測距用無線信号の移動端末M、基地局Bでの受信時刻はTm1、Ta1、Tb1、移動端末Mの応答無線信号の送信時刻はTm2、応答無線信号の基準局R、基地局Bでの受信時刻はTr2、Ta2、Tb2)とすると、
ステップS1における送受信パス長と電波到達時間の関係から、
Tm1 + Tom = Tr1 +Lmr/Vc
Ta1 + Toa = Tr1 + Lar/Vc
Tb1 + Tob = Tr1 + Lbr/Vc
(式2)が成立する。ただしVcは光速。
That is, the difference between the clock Cm and Cb of the mobile terminal M and the base station B with respect to the clock Cr of the reference station R is Tom, Toa, Tob (hereinafter, the alphabetic subscripts attached to the variables indicate the station type and the numerical subscripts). The letter indicates the signal type, "r" for the reference station R, "a", "b" for the two base stations B, and "m" for the mobile terminal M. Also, the numeral " 1 "indicates a ranging radio signal, subscript" 2 "indicates a response radio signal), and distance L (according to the subscript assignment rule described above, the distance between the reference station R and the mobile terminal M is Lmr, one base The distance between the station B and the mobile terminal M is Lam, the distance between the other base station B and the mobile terminal M is Lbm, the distance between the reference station R and the base station B is Lar, Lbr), and the transmission / reception time T (the distance measurement radio of the reference station R) The signal transmission time is Tr1, the distance measurement radio signal is received by the mobile terminal M, the base station B is Tm1, Ta1, Tb1, the response radio signal transmission time of the mobile terminal M is Tm2, and the response radio signal If the reference stations R, the reception time in the base station B Tr2, Ta2, Tb2) that,
From the relationship between the transmission / reception path length and the radio wave arrival time in step S1,
Tm1 + Tom = Tr1 + Lmr / Vc
Ta1 + Toa = Tr1 + Lar / Vc
Tb1 + Tob = Tr1 + Lbr / Vc
(Expression 2) is established. Vc is the speed of light.
また、ステップS5における送受信パス長と電波到達時間の関係から、
Tr2 = Tm2 + Tom + Lmr/Vc
Ta2 + Toa = Tm2 + Tom + Lam/Vc
Tb2 + Tob = Tm2 + Tom + Lbm/Vc
が成立する。
In addition, from the relationship between the transmission / reception path length and the radio wave arrival time in step S5,
Tr2 = Tm2 + Tom + Lmr / Vc
Ta2 + Toa = Tm2 + Tom + Lam / Vc
Tb2 + Tob = Tm2 + Tom + Lbm / Vc
Is established.
基準局R、および2個の基地局Bの位置は既知であるため、Lar、Lbrは既知で、上記6式の未知数は、Lmr、Lam、Lbm、Tom、Toa、Tobの5個となり、Lmr、Lam、Lbmは、Tom、Toa、Tobを消去した式
Lmr = Vc {(Tr2 - Tr1) - (Tm2 - Tm1) }/2
Lam = Lar + Vc(Ta2 - Ta1) - Vc {(Tr2 - Tr1) + (Tm2 - Tm1)}/2
Lbm = Lbr + Vc(Tb2 - Tb1) - Vc {(Tr2 - Tr1) + (Tm2 - Tm1)}/2
で与えられる。
Since the positions of the base station R and the two base stations B are known, Lar and Lbr are known, and the unknowns of the above six formulas are Lmr, Lam, Lbm, Tom, Toa and Tob, and Lmr, Lam and Lbm are expressions that delete Tom, Toa, and Tob.
Lmr = Vc {(Tr2-Tr1)-(Tm2-Tm1)} / 2
Lam = Lar + Vc (Ta2-Ta1)-Vc {(Tr2-Tr1) + (Tm2-Tm1)} / 2
Lbm = Lbr + Vc (Tb2-Tb1)-Vc {(Tr2-Tr1) + (Tm2-Tm1)} / 2
Given in.
この結果、移動端末Mの2次元座標(Xm,Ym)は、基準局R、基地局Bの座標を(Xr,Yr), (Xa,Ya), (Xb,Yb)とすると、
{(Xm - Xr)2 + (Ym - Yr)2}1/2 = Lmr
{(Xm - Xa)2 + (Ym - Ya)2}1/2 = Lam
{(Xm - Xb)2 + (Ym - Yb)2}1/2 = Lbm
により求められる。
As a result, if the two-dimensional coordinates (Xm, Ym) of the mobile terminal M are (Xr, Yr), (Xa, Ya), (Xb, Yb), the coordinates of the base station R and the base station B are
{(Xm-Xr) 2 + (Ym-Yr) 2 } 1/2 = Lmr
{(Xm-Xa) 2 + (Ym-Ya) 2 } 1/2 = Lam
{(Xm-Xb) 2 + (Ym-Yb) 2 } 1/2 = Lbm
Is required.
なお、最終式において、未知数Xm,Ymに対して式が3個あるため、式が冗長となるため、Xm,Ymは上記3本の式の最小自乗解として求められる。 In the final formula, since there are three formulas for the unknowns Xm and Ym, the formulas are redundant. Therefore, Xm and Ym are obtained as a least squares solution of the above three formulas.
また、上記実施の形態において、受信時刻を正確に計測するために、測距用無線信号、および応答無線信号にインパルス電波を使用することができ、この場合の送信データフォーマットを図3に、基準局Rの装置構成を図4に示す。 In the above embodiment, in order to accurately measure the reception time, an impulse radio wave can be used for the ranging radio signal and the response radio signal. In this case, the transmission data format is shown in FIG. The apparatus configuration of R is shown in FIG.
図3を参照して、送信データは、PN系列の一種である8値のリードソロモンRS系列でタイムホッピング(TH)されており、さらに、パルス位置変調でデータ変調されている。1チップ100nsの場合、RS系列として5763421を使用するとすると、1μsのパルス区間の内、最初のパルスは500nsの位置に、次のパルスは700nsの位置にタイムホッピングされている。同期用のデータ無変調のプリアンブル部は、7パルス7μsであり、その後に、データ部が来る。データ部も同じRS系列でタイムホッピングされているが、さらに、データが1の時には、1チップパルス位置がずれるパルス位置変調(PPM)されている。
Referring to FIG. 3, transmission data is time-hopped (TH) with an 8-value Reed-Solomon RS sequence, which is a kind of PN sequence, and further data-modulated with pulse position modulation. In the case of one chip of 100 ns, if 576421 is used as the RS sequence, the first pulse is time-hopped to the position of 500 ns and the next pulse is time-hopped to the position of 700 ns in the pulse section of 1 μs. The unmodulated preamble portion for data synchronization is 7
例えば、0110のデータの場合、5763・・・のRS系列は5873・・・と変調され、500ns、800ns、700ns、300ns位置にパルスがホッピングされる。 For example, in the case of 0110 data, the 5763... RS sequence is modulated as 5873..., And pulses are hopped at 500 ns, 800 ns, 700 ns, and 300 ns positions.
図4を参照して、上記RS系列はPN系列発生部12で生成され、PPMデータ変調部13において送信データの1、0に従ったPPMデータ変調が行われ、インパルス生成部14にパルスが送られる。インパルス生成部14は、ステップリカバリダイオードにより、パルスの立ち上がり部で非常に細いインパルスを生成する。
Referring to FIG. 4, the RS sequence is generated by PN
生成したインパルスは非常に広い帯域を有しているが、例えば、電波法のマスクに適合するように、3.1GHz〜5GHzのバンドパスフィルタ(BPF)を通すことで、不要な3.1GHz以下の成分と5GHzを以上の成分を除去する。バンドパスフィルタ(BPF)通過後、パワーアンプ(PA)で増幅し、アンテナから電波が放射される。データを送信する時に、プリアンブル後の最初のパルスを発生する時刻を測距用無線送信時刻保持部4rで保存する。
The generated impulse has a very wide band, but, for example, an unnecessary component of 3.1 GHz or less is passed through a bandpass filter (BPF) of 3.1 GHz to 5 GHz so as to conform to the mask of the Radio Law. And remove components above 5GHz. After passing through the band pass filter (BPF), it is amplified by a power amplifier (PA), and radio waves are radiated from the antenna. When transmitting data, the time for generating the first pulse after the preamble is stored in the distance measurement radio transmission
一方、受信側では、アンテナで受信されたインパルス電波は、バンドパスフィルタ(BPF)で不要な周波数成分除去後、低雑音アンプ(LNA)で増幅され、パルスの有無が検出される。パルス検出部15は、公知のダイオードによる包絡線検波回路とコンパレータ等で実現できる。検出されたパルスは、PN系列発生部12で発生したRS系列とデジタルマッチドフィルタによる相関器16で比較される。
On the other hand, on the receiving side, the impulse radio wave received by the antenna is amplified by a low noise amplifier (LNA) after unnecessary frequency components are removed by a band pass filter (BPF), and the presence or absence of a pulse is detected. The
相関器16によりプリアンブル部が検出されると、同期が確立されたとして、PPMデータ復調部17において次に続くデータ部のPPMを復調し、受信データを生成する。また、データ部の最初のパルスを検出したならば、その時刻を応答無線信号受信時刻保持部6rに保持する。
When the preamble part is detected by the
なお、図3においては、基準局Rの装置構成を示したが、各基地局Bは、基準局Rの装置構成から送信部3rを除いたものであるために図示を省略する。また、移動端末Mの装置構成は、基準局Rの装置構成から有線LANインタフェースを除いたものであるために図示を省略する。
Although FIG. 3 shows the apparatus configuration of the reference station R, each base station B is omitted from the apparatus configuration of the reference station R because the
さらに、上述した実施の形態において、基準局R、基地局Bからのデータは有線LAN1を経由して測位サーバ2に集積させ、測位計算部11において演算する場合を示したが、図5、6に示すように、測位計算部11を基準局Rにおくことができる。この場合、図1におけるステップS2、S3は取り除から、ステップS6として、各基地局Bは応答無線信号を受信した後、基準局Rに受信時刻差を基地局無線信号として送信する。
Furthermore, in the above-described embodiment, the case where the data from the reference station R and the base station B is accumulated in the
この結果、基準局Rには上述したLmr、Lam、Lbmを求める全ての情報が集まり、測位計算部11において必要な演算がなされる。
As a result, all the information for obtaining the above-mentioned Lmr, Lam, and Lbm is collected in the reference station R, and a necessary calculation is performed in the
図6を参照すると、基地局Bは、測距用無線信号受信時刻と応答無線信号受信時刻とから送信データ作成部9bで基地局無線信号を作成し、送信部3bから基準局Rにデータ送信する。なお、以下の説明において、上述した実施の形態と実質的に同一の構成要素は、図中に同一符号を付して説明を省略する。
Referring to FIG. 6, the base station B creates a base station radio signal by the transmission
このように構成すると、基地局B、基準局R間に有線LAN1を敷設する必要がなくなり、構成が簡単になる。
With this configuration, it is not necessary to install the wired
図7に本発明の第2の実施の形態を示す。この実施の形態は、各局毎のクロックの周波数差による内蔵時計Cm、Cb、Crの進み方の誤差(スケール誤差)を解消するための有効な手段を提供する、
例えば、基準局Rと移動端末Mとの間で測距用無線信号と応答無線信号を往復させ、式(1)に基づいて測距しようとした場合、 (Tam2-Tam1) が長くなると、スケール誤差が無視できなくなる。本例において、10ppmのクロック周波数差があった場合、(Tam2-Tam1)=1ms とすると、1ms×10-5/2=5ns=となり、これは距離換算で1.5mの誤差となる。そこで、返信に時間がかかるような場合には、図7に示すように、基準局Rからさらにクロック誤差検出用無線信号(以下、本信号に関する変数には添え字"3"を付す。)を送信する(ステップS1’)。
FIG. 7 shows a second embodiment of the present invention. This embodiment provides an effective means for eliminating an error (scale error) in how the built-in clocks Cm, Cb, Cr progress due to the frequency difference of the clocks for each station.
For example, when a distance measurement radio signal and a response radio signal are reciprocated between the reference station R and the mobile terminal M and an attempt is made to perform distance measurement based on the equation (1), if (Tam2-Tam1) becomes longer, a scale error will occur. Cannot be ignored. In this example, when there is a clock frequency difference of 10 ppm, if (Tam2-Tam1) = 1 ms, 1 ms × 10 −5 / 2 = 5 ns =, which is an error of 1.5 m in terms of distance. Therefore, when it takes a long time to reply, as shown in FIG. 7, a radio signal for clock error detection is further transmitted from the reference station R (hereinafter, a variable related to this signal is given a subscript “3”). (Step S1 ′).
測距用無線信号とクロック誤差検出用無線信号の基準局Rでの送信時間間隔と移動端末M、基地局Bでの受信時間間隔との比が周波数差となるため、周波数差を求めて補正することができる。 Since the ratio between the transmission time interval of the distance measurement radio signal and the clock error detection radio signal at the reference station R and the reception time interval at the mobile terminal M and the base station B is a frequency difference, the frequency difference is obtained and corrected. be able to.
基準局Rに対する移動端末M、基地局Bの時計Cm、Cb、CrのスケールをSm、Sa、Sbとすると、式(2)は、
Sm(Tm1 + Tom) = Tr1 +Lmr/Vc
Sm(Tm3 + Tom) = Tr3 + Lmr/Vc
Tr2 = Sm(Tm2 + Tom) + Lmr/Vc
Sa(Ta1 + Toa) = Tr1 + Lar/Vc
Sa(Ta3 + Toa) = Tr3 + Lar/Vc
Sb(Tb1 + Tob) = Tr1 + Lbr/Vc
Sb(Tb3 + Tob) = Tr3 + Lbr/Vc
Sa(Ta2 + Toa) = Sm(Tm2 + Tom) + Lam/Vc
Sb(Tb2 + Tob) = Sm(Tm2 + Tom) + Lbm/Vc
(式3)
と変形することができる。(式3)の連立方程式において、未知数Lmr、Lam、Lbm、Tom、Toa、Tob、Sm、Sa、Sbを求めると。
Assuming that the scales of the clocks Cm, Cb, and Cr of the mobile terminal M and the base station B with respect to the reference station R are Sm, Sa, and Sb, Equation (2) is
Sm (Tm1 + Tom) = Tr1 + Lmr / Vc
Sm (Tm3 + Tom) = Tr3 + Lmr / Vc
Tr2 = Sm (Tm2 + Tom) + Lmr / Vc
Sa (Ta1 + Toa) = Tr1 + Lar / Vc
Sa (Ta3 + Toa) = Tr3 + Lar / Vc
Sb (Tb1 + Tob) = Tr1 + Lbr / Vc
Sb (Tb3 + Tob) = Tr3 + Lbr / Vc
Sa (Ta2 + Toa) = Sm (Tm2 + Tom) + Lam / Vc
Sb (Tb2 + Tob) = Sm (Tm2 + Tom) + Lbm / Vc
(Formula 3)
And can be transformed. When the unknown numbers Lmr, Lam, Lbm, Tom, Toa, Tob, Sm, Sa, and Sb are obtained in the simultaneous equations of (Expression 3).
Lmr = Vc {(Tr2 - Tr1) - (Tr3 - Tr1)(Tm2 - Tm1)/(Tm3 - Tm1) }/2
Lam = Lar + Vc(Ta2 - Ta1)(Tr3 - Tr1)/(Ta3 - Ta1) - Vc {(Tr2 - Tr1) + (Tm2 - Tm1)(Tr3 - Tr1)/(Tm3 - Tm1)}/2
Lbm = Lbr + Vc(Tb2 - Tb1) (Tr3 - Tr1)/(Tb3 - Tb1)- Vc {(Tr2 - Tr1) + (Tm2 - Tm1) (Tr3 - Tr1)/(Tm3 - Tm1)}/2
(式4)
となる。
Lmr = Vc {(Tr2-Tr1)-(Tr3-Tr1) (Tm2-Tm1) / (Tm3-Tm1)} / 2
Lam = Lar + Vc (Ta2-Ta1) (Tr3-Tr1) / (Ta3-Ta1)-Vc {(Tr2-Tr1) + (Tm2-Tm1) (Tr3-Tr1) / (Tm3-Tm1)} / 2
Lbm = Lbr + Vc (Tb2-Tb1) (Tr3-Tr1) / (Tb3-Tb1)-Vc {(Tr2-Tr1) + (Tm2-Tm1) (Tr3-Tr1) / (Tm3-Tm1)} / 2
(Formula 4)
It becomes.
この実施例では、時計Cm、Cb、Crの差を1次式(周波数差とオフセット)で表現するため、基準局Rから送信する電波は最低2個あれば良いが、2次式以上で表現する場合や統計的に求める場合には、基準局Rから複数のクロック誤差検出用無線信号を送信してもよい。 In this embodiment, since the difference between the clocks Cm, Cb, and Cr is expressed by a primary expression (frequency difference and offset), it is sufficient that at least two radio waves are transmitted from the reference station R. In some cases or statistically, a plurality of clock error detection radio signals may be transmitted from the reference station R.
図8に本発明の第3の実施の形態を示す。この実施の形態は、移動端末Mが複数ある場合の効率的な測位方法を提供するもので、基準局Rは、少なくとも、移動端末Mが加わったことによる未知数(スケール誤差、距離)を求めるために必要な本数以上の連立方程式をたてることができる回数に渡って測距用無線信号とクロック誤差検出用無線信号とを送信する。 FIG. 8 shows a third embodiment of the present invention. This embodiment provides an efficient positioning method when there are a plurality of mobile terminals M, and the reference station R obtains at least unknowns (scale error, distance) due to the addition of the mobile terminal M. The distance measurement radio signal and the clock error detection radio signal are transmitted over the number of times that the simultaneous equations more than the necessary number can be established.
2個の移動端末Mを測位するこの実施の形態において、図8(b)に示すように、基準局Rからの電波A、B、Cを移動端末Ma、基地局Ba、Bbが受信する。電波Cに対して、移動端末Maは電波Dで応答するが、この時の電波Dは、基準局R、基地局Ba、Bbで受信する。一方、基準局Rからの電波B、Cは移動端末Mbでも受信する。そして、基準局Rからの電波Eに対して、移動端末Mbは電波Fで応答するが、この時の電波Fは、基準局R、基地局Ba、Bbで受信する。 In this embodiment for positioning two mobile terminals M, as shown in FIG. 8 (b), the mobile terminals Ma and base stations Ba and Bb receive radio waves A, B and C from the reference station R. The mobile terminal Ma responds to the radio wave C with the radio wave D, and the radio wave D at this time is received by the reference station R and the base stations Ba and Bb. On the other hand, the radio waves B and C from the reference station R are also received by the mobile terminal Mb. The mobile terminal Mb responds to the radio wave E from the reference station R with the radio wave F. At this time, the radio wave F is received by the reference station R and the base stations Ba and Bb.
このように、電波B、Cを移動端末Ma、Mbで兼ねることで、基準局Rから送信するトータルの電波を減らすことができる。特に、本実施の形態のように基準局Rからの電波を2個以上使用する場合には効果が顕著になる。これは移動端末Mが3個以上の場合も同様であり、こうすることで、移動端末Mが多数あっても測位にかかる時間があまり増えなくて済む。
(付記1)
位置が既知の基準局から測距用無線信号を送信する工程と、
複数の位置が既知の基地局が測距用無線信号の受信時刻を自局の時計により計測する工程と、
移動端末が測距用無線信号を受信後、受信から返信までの自局の時計による遅れ時間情報を含む応答無線信号を送信する工程と、
前記基準局および基地局が応答無線信号の受信時刻を自局の時計で計測する工程と、
前記基準局および基地局での応答無線信号の受信時刻、基準局での測距用無線信号の送信時刻、携帯端末からの遅れ時間情報、および基準局と基地局間の既知距離情報に基づいて各局での時計のずれ要素を消去して基準局および各基地局と移動端末との距離を演算する工程と、
を含む測位方法。
(付記2)
前記基準局が測距用無線信号の送信時刻と異なった時刻にクロック誤差検出用無線信号を送信するとともに、各基地局において受信時刻を自局の時計により計測し、
測距用無線信号とクロック誤差検出用無線信号との到達時間差により基準局に対する各基地局のクロックの周波数差を補正する付記1記載の測位方法。
(付記3)
前記クロック誤差検出用無線信号を測位動作中の複数の移動端末で共有する付記2記載の測位方法。
(付記4)
測距用無線信号、および返信用無線信号にインパルス無線信号が使用される付記1、2または3に記載の測位方法。
(付記5)
前記各基地局における取得データは、無線により測位サーバに送信され、
測位サーバにより演算工程が実行される付記1から4のいずれかに記載の測位方法。
(付記6)
移動端末に測距用無線信号を送信するとともに、測距用無線信号を受信した移動端末から送信され、移動端末における受信から送信までの自局の時計による遅れ時間情報を含む応答無線信号を受信する位置が既知の基準局と、
前記移動端末と基準局との交信を受信する位置が既知の適数個の基地局と、
前記基準局および基地局での応答無線信号の受信時刻、基準局での測距用無線信号の送信時刻、携帯端末からの遅れ時間情報、および基準局と基地局間の既知距離情報に基づいて各局での時計のずれ要素を消去して基準局および各基地局と移動端末との距離を演算して移動端末の位置を求める測位サーバと、
を有する測位システム。
(付記7)
前記基地局は、前記送受信パス数が、基準局および基地局と移動端末間の距離、並びに基地局と移動端末における基準局に対する時計のずれを未知数とし、未知数の個数に対して本数が過剰な距離ー電波到達時間関係式を導出可能な個数だけ用意され、
前記移動端末との距離が、前記連立方程式の最小自乗解として求められる付記6記載の測位システム。
Thus, the total radio waves transmitted from the reference station R can be reduced by combining the radio waves B and C with the mobile terminals Ma and Mb. In particular, when two or more radio waves from the reference station R are used as in the present embodiment, the effect becomes remarkable. The same applies to the case where there are three or more mobile terminals M. By doing so, the time required for positioning does not increase much even if there are many mobile terminals M.
(Appendix 1)
Transmitting a ranging radio signal from a reference station having a known position;
A step of measuring a reception time of a radio signal for ranging by a base station having a plurality of known positions with a clock of the own station;
After the mobile terminal receives the ranging radio signal, a step of transmitting a response radio signal including delay time information by the clock of the own station from reception to reply;
Measuring the reception time of the response radio signal by the reference station and the base station with its own clock;
Based on the reception time of the response radio signal at the reference station and the base station, the transmission time of the distance measurement radio signal at the reference station, the delay time information from the mobile terminal, and the known distance information between the reference station and the base station, Calculating the distance between the base station and each base station and the mobile terminal by eliminating the clock deviation element;
Positioning method including.
(Appendix 2)
The base station transmits a clock error detection radio signal at a time different from the transmission time of the distance measurement radio signal, and at each base station, the reception time is measured by its own clock,
The positioning method according to
(Appendix 3)
The positioning method according to
(Appendix 4)
4. The positioning method according to
(Appendix 5)
The acquired data in each base station is transmitted to the positioning server by radio,
The positioning method according to any one of
(Appendix 6)
Transmits a ranging radio signal to the mobile terminal and receives a response radio signal transmitted from the mobile terminal that has received the ranging radio signal and including delay time information from the local station's clock from reception to transmission at the mobile terminal A reference station whose position is known,
An appropriate number of base stations whose positions for receiving communication between the mobile terminal and the reference station are known;
Based on the reception time of the response radio signal at the reference station and the base station, the transmission time of the distance measurement radio signal at the reference station, the delay time information from the mobile terminal, and the known distance information between the reference station and the base station, A positioning server that calculates the position of the mobile terminal by calculating the distance between the mobile terminal and the base station and each base station by eliminating the clock deviation element;
Positioning system with.
(Appendix 7)
In the base station, the number of transmission / reception paths is such that the distance between the reference station and the base station and the mobile terminal, and the time difference between the base station and the mobile terminal with respect to the reference station are unknown, and the number is excessive with respect to the number of unknowns. The number of radio wave arrival time relational expressions that can be derived is prepared,
The positioning system according to
R 基準局
Cr 時計
B 基地局
Cb 時計
M 移動端末
Cm 時計
R Base station Cr clock B Base station Cb clock M Mobile terminal Cm clock
Claims (5)
複数の位置が既知の基地局が測距用無線信号の受信時刻を自局の時計により計測する工程と、
移動端末が測距用無線信号を受信後、受信から返信までの自局の時計による遅れ時間情報を含む応答無線信号を送信する工程と、
前記基準局および基地局が応答無線信号の受信時刻を自局の時計で計測する工程と、
前記基準局および基地局での応答無線信号の受信時刻、基準局での測距用無線信号の送信時刻、携帯端末からの遅れ時間情報、および基準局と基地局間の既知距離情報に基づいて各局での時計のずれ要素を消去して基準局および各基地局と移動端末との距離を演算する工程と、
を含む測位方法。 Transmitting a ranging radio signal from a reference station having a known position;
A step of measuring a reception time of a radio signal for ranging by a base station having a plurality of known positions with a clock of the own station;
After the mobile terminal receives the ranging radio signal, a step of transmitting a response radio signal including delay time information by the clock of the own station from reception to reply;
Measuring the reception time of the response radio signal by the reference station and the base station with its own clock;
Based on the reception time of the response radio signal at the reference station and the base station, the transmission time of the distance measurement radio signal at the reference station, the delay time information from the mobile terminal, and the known distance information between the reference station and the base station, Calculating the distance between the base station and each base station and the mobile terminal by eliminating the clock deviation element;
Positioning method including.
測距用無線信号とクロック誤差検出用無線信号との到達時間差により基準局に対する各基地局のクロックの周波数差を補正する請求項1記載の測位方法。 The base station transmits a clock error detection radio signal at a time different from the transmission time of the distance measurement radio signal, and at each base station, the reception time is measured by its own clock,
2. The positioning method according to claim 1, wherein the frequency difference of the clock of each base station with respect to the reference station is corrected based on the arrival time difference between the distance measurement radio signal and the clock error detection radio signal.
基準局において演算工程が実行される請求項1から4のいずれかに記載の測位方法。
The acquired data in each base station is transmitted to the reference station by radio,
The positioning method according to claim 1, wherein the calculation step is executed at the reference station.
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