JP3395136B2 - Moving target relative position detection method - Google Patents
Moving target relative position detection methodInfo
- Publication number
- JP3395136B2 JP3395136B2 JP2002194469A JP2002194469A JP3395136B2 JP 3395136 B2 JP3395136 B2 JP 3395136B2 JP 2002194469 A JP2002194469 A JP 2002194469A JP 2002194469 A JP2002194469 A JP 2002194469A JP 3395136 B2 JP3395136 B2 JP 3395136B2
- Authority
- JP
- Japan
- Prior art keywords
- moving target
- relative position
- magnetic field
- target
- cos
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Expired - Lifetime
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- Measuring Magnetic Variables (AREA)
- Geophysics And Detection Of Objects (AREA)
- Measurement Of Velocity Or Position Using Acoustic Or Ultrasonic Waves (AREA)
Description
【0001】[0001]
【発明の属する技術分野】本発明は、等速直線運動をす
る移動目標の接近を検出するため、移動目標の発生する
信号を1個所に配置された検出器(例えば直交3軸を検
出するものであれば1個、1軸のみ検出するものであれ
ば3個)を使用して、所定のサンプル時間で時系列的に
測定・集録・処理することにより、移動目標と前記検出
器との相対位置を検出する移動目標の相対位置検出方法
に関する。BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention detects a proximity of a moving target that is moving at a constant speed in a linear manner, so that a signal generated by the moving target is arranged at one detector (for example, three orthogonal axes are detected). If it detects only one axis, then three if it detects only one axis), and measures, acquires, and processes in time series at a predetermined sample time, and The present invention relates to a method for detecting a relative position of a moving target that detects a position.
【0002】[0002]
【従来の技術】従来、移動目標の接近を検出するため、
移動目標が発生する磁気信号又は音響信号などのレベル
のピーク値を検出する方法があるが、検出装置からどれ
ほど離れているかの相対位置を知ることは出来ない。2. Description of the Related Art Conventionally, in order to detect the approach of a moving target,
Although there is a method of detecting the peak value of the level of the magnetic signal or the acoustic signal generated by the moving target, it is not possible to know the relative position of how far from the detection device.
【0003】また、複数の検出器を所定距離で配置し、
それぞれの受信信号の差から移動目標の相対位置を検出
する方法(特許第2500347号公報等)があるが、
複数の検出器を離して配置するため、装置の小型化が図
れないこと及び配置に高精度を要するため製造が難しい
という問題がある。Further, a plurality of detectors are arranged at a predetermined distance,
There is a method of detecting the relative position of the moving target from the difference between the respective received signals (Japanese Patent No. 2500347 etc.),
Since the plurality of detectors are arranged apart from each other, there is a problem that the device cannot be downsized and the manufacturing is difficult because the arrangement requires high accuracy.
【0004】[0004]
【発明が解決しようとする課題】上述の如く、移動目標
の接近を検知するため、1個所に配置した検出器で移動
目標の相対位置を知る有効な方法が従来無かった。As described above, in order to detect the approach of the moving target, there has been no effective method for detecting the relative position of the moving target with a detector arranged at one place.
【0005】そこで、本発明の目的とするところは、1
個所に配置した検出器を用いて、検出器と移動目標の相
対位置を検出する目標相対位置検出方法を提供すること
にある。Therefore, the object of the present invention is to
An object of the present invention is to provide a target relative position detection method for detecting the relative position between the detector and the moving target by using the detectors arranged at the points.
【0006】本発明のその他の目的や新規な特徴は後述
の実施の形態において明らかにする。Other objects and novel features of the present invention will be clarified in the embodiments described later.
【0007】[0007]
【課題を解決するための手段】上記目的を達成するため
に、本願請求項1の発明は、移動目標が発生する磁界又
は電界信号の直交3軸成分を捕捉する1個所に配置され
た検出器を用い、該検出器と等速直線運動をする移動目
標との相対位置を検出する移動目標の相対位置検出方法
であって、前記移動目標の発生する磁界又は電界信号
を、前記移動目標が前記検出器に対して少なくとも最接
近位置となる時刻まで時系列的に測定・集録する測定・
集録ステップと、前記測定・集録ステップで集録された
データを加工するデータ変換ステップと、前記移動目標
と前記検出器間の高度差又は距離、あるいは前記移動目
標の速度のいずれか1つを既知とし、前記データ変換ス
テップで得られた変換データと理論式による値との残差
式を用いて最小自乗法により未知のパラメータを算出す
る算出ステップとに基づいて、移動目標の相対位置を検
出するとともに、 前記測定・集録ステップ、前記データ
変換ステップ及び前記算出ステップにより、前記移動目
標の信号源の大きさを得て目標を識別することを特徴と
している。In order to achieve the above-mentioned object, the invention of claim 1 of the present application provides a magnetic field or magnetic field generated by a moving target.
Is a relative position detection method of a moving target that uses a detector arranged at one position to capture orthogonal three-axis components of an electric field signal and detects the relative position between the detector and the moving target that performs constant-velocity linear motion. A magnetic field or electric field signal generated by the moving target is measured and acquired in time series until the moving target reaches at least the closest position to the detector.
An acquisition step, a data conversion step for processing the data acquired in the measurement / acquisition step, and the moving target
Difference or distance between the detector and the detector, or the moving eye
Based on a calculation step in which any one of the target speeds is known and an unknown parameter is calculated by the least square method using a residual expression between the converted data obtained in the data conversion step and a value obtained by a theoretical expression. Detect the relative position of the moving target, and perform the measurement / acquisition step and the data
The moving eye is converted by the converting step and the calculating step.
The feature is that the size of the target signal source is obtained to identify the target .
【0008】[0008]
【0009】本願請求項2の発明に係る移動目標の相対
位置検出方法は、請求項1において、前記算出ステップ
では、前記移動目標の信号源が複数に分割されたものと
した理論式を用いることを特徴としている。In the method of detecting the relative position of a moving target according to a second aspect of the present invention, in the first calculating step, a theoretical formula is used in which the signal source of the moving target is divided into a plurality of parts. Is characterized by.
【0010】[0010]
【0011】[0011]
【発明の実施の形態】以下、本発明に係る移動目標の相
対位置検出方法の実施の形態を図面に従って説明する。BEST MODE FOR CARRYING OUT THE INVENTION An embodiment of a method for detecting a relative position of a moving target according to the present invention will be described below with reference to the drawings.
【0012】図1乃至図4を用いて本発明に係る移動目
標の相対位置検出方法の実施の形態を説明する。この実
施の形態では、等速直線運動をする移動目標が発生する
信号が磁界の場合を例にとって説明する。An embodiment of a method for detecting the relative position of a moving target according to the present invention will be described with reference to FIGS. 1 to 4. In this embodiment, a case where a signal generated by a moving target that performs constant-velocity linear motion is a magnetic field will be described as an example.
【0013】図1において、1は設置(固定)された相
対位置検出装置であって、1軸方向の磁界成分を測定で
きる3個のセンサーを互いに直交させて配列して成る3
軸磁力計2を内部に装備したものである。換言すれば、
磁界の直交3軸成分を捕捉する検出器が装置内の1個所
に配置されている。装置1に設けられた1個の3軸磁力
計2を原点として、垂直上方にZ軸、水平面内にお互い
に直交するX軸及びY軸を定める。以後、この座標系を
「装置座標系」と呼ぶ。In FIG. 1, reference numeral 1 is a relative position detecting device which is installed (fixed), and is formed by arranging three sensors capable of measuring a magnetic field component in one axial direction so as to be orthogonal to each other.
The shaft magnetometer 2 is installed inside. In other words,
A detector that captures the orthogonal triaxial components of the magnetic field is located at one location in the device. With one triaxial magnetometer 2 provided in the apparatus 1 as an origin, the Z axis is defined vertically upward, and the X axis and the Y axis orthogonal to each other are defined in the horizontal plane. Hereinafter, this coordinate system will be referred to as a "device coordinate system".
【0014】10は等速直線運動をする移動目標であ
り、11はその移動目標が有する、大きさMの磁気モー
メントであり、前記装置座標系において移動目標10は
位置(x,y,z)にあり、磁気モーメント11と前記
装置座標系におけるX軸との成す角をα、Y軸との成す
角をβ、Z軸との成す角をγとする。また、移動目標1
0と装置1内の3軸磁力計2との距離はrであり、移動
目標10は針路12の向きで等速で進行しているものと
する。Reference numeral 10 denotes a moving target which moves in a uniform linear motion, 11 denotes a magnetic moment of a magnitude M which the moving target has, and the moving target 10 is located at a position (x, y, z) in the device coordinate system. The angle formed by the magnetic moment 11 and the X axis in the device coordinate system is α, the angle formed by the Y axis is β, and the angle formed by the Z axis is γ. Also, move target 1
It is assumed that the distance between 0 and the triaxial magnetometer 2 in the device 1 is r, and the moving target 10 is traveling in the direction of the course 12 at a constant speed.
【0015】前記相対位置検出装置1においては、測定
・集録ステップにて移動目標10の発生する信号、即ち
3軸磁力計2の3軸成分を、当該移動目標10が当該装
置1(換言すれば3軸磁力計2)に対して少なくとも最
接近位置となる時刻まで(最接近位置の時刻まで、ある
いは当該最接近位置を僅かに経過した時刻まで)所定の
サンプリング時間で時系列的に測定・集録し、データ変
換ステップにて、この集録データを後述の理論式との間
で残差を取るために加工して変換データとし、算出ステ
ップにて、この変換データと、移動目標10の磁気モー
メント、移動速度及び装置1との相対位置座標などの未
知のパラメータを含む所定の理論式による値とを用いて
残差式を作り、最小自乗法により、未知のパラメータを
求め、しかる後、移動目標10と装置1の相対位置座標
を得る。また、移動目標10の磁気モーメントの大きさ
Mを得て、当該移動目標の識別も可能である。この識別
には例えば、移動目標の種類と磁気モーメントの大きさ
を関連付けたデータベースを用いることができる。In the relative position detecting device 1, the moving target 10 transmits the signal generated by the moving target 10 in the measurement / acquisition step, that is, the three-axis components of the three-axis magnetometer 2 (in other words, the device 1). 3-axis magnetometer 2) At least until the time when it is the closest position (until the time of the closest position or until the time when the closest position is slightly passed), it is measured and acquired in time series with a predetermined sampling time. Then, in the data conversion step, the acquired data is processed to obtain a residual with a later-described theoretical formula to obtain converted data, and in the calculation step, the converted data and the magnetic moment of the moving target 10, A residual equation is created by using a value based on a predetermined theoretical equation including unknown parameters such as moving speed and relative position coordinates with the device 1, and the unknown parameter is obtained by the least squares method. Obtaining a moving target 10 and the relative position coordinate device 1. Further, by obtaining the magnitude M of the magnetic moment of the moving target 10, it is possible to identify the moving target. For this identification, for example, a database that associates the type of moving target with the magnitude of the magnetic moment can be used.
【0016】なお、移動目標10が装置1(換言すれば
3軸磁力計2)の最接近位置に在ることを知るには、3
軸合成信号の極大・極小を利用するほかに、装置1にハ
イドロホンを設け、移動目標の発生する音響信号を連続
的に聴音し、その値が最大になる時刻を最接近時刻とす
る方法もある。前記ハイドロホンは、3軸磁力計と実質
同一個所に設けられる(但し、移動目標との距離に比し
て無視し得る程度の位置のずれは許容される)。In order to know that the moving target 10 is at the closest position of the device 1 (in other words, the triaxial magnetometer 2), 3
In addition to using the maximum and minimum of the axis composite signal, a method is also provided in which a hydrophone is provided in the device 1 to continuously hear the acoustic signal generated by the moving target, and the time when the value becomes maximum is set as the closest time. is there. The hydrophone is provided at substantially the same location as the three-axis magnetometer (however, a position shift that is negligible compared to the distance to the moving target is allowed).
【0017】前記装置1に内蔵された1個の3軸磁力計
2を原点とする前記装置座標系における移動目標10の
位置(x,y,z)のとき各軸磁界成分Hx,Hy,H
zの理論式は次式で表される。At the position (x, y, z) of the moving target 10 in the device coordinate system with the origin of the one 3-axis magnetometer 2 built in the device 1, the respective axial magnetic field components H x , H y. , H
The theoretical formula of z is represented by the following formula.
【0018】Hx=Ma/r5 …(1)
Hy=Mb/r5 …(2)
Hz=Mc/r5 …(3)
但し、
a=(3x2−r2)cosα+3xycosβ+3zxcos
γ
b=3xycosα+(3y2−r2)cosβ+3yzcos
γ
c=3zxcosα+3yzcosβ+(3z2−r2)cos
γ
r=(x2+y2+z2)1/2
ここで、cosα,cosβ,cosγは磁気モーメントの前記
装置座標系での方向余弦である。[0018] H x = Ma / r 5 ... (1) H y = Mb / r 5 ... (2) H z = Mc / r 5 ... (3) where, a = (3x 2 -r 2 ) cosα + 3xycosβ + 3zxcos
γb = 3xycosα + (3y 2 −r 2 ) cosβ + 3yzcos
γ c = 3zxcosα + 3yzcosβ + ( 3z 2 -r 2) cos
γ r = (x 2 + y 2 + z 2 ) 1/2 where cos α, cos β, and cos γ are the direction cosines of the magnetic moment in the device coordinate system.
【0019】前記移動目標10が空間上の任意の1点に
作る全磁界は一つの固有のベクトル値であり、これの垂
直成分は一つであり、従ってその水平成分も、全磁界と
垂直成分を含む面内に必ず分解され一つの定まった大き
さになる。このことは、移動目標の発生する磁界を垂直
成分と水平成分で取り扱う限りに於いては、Z軸が垂直
方向にあれば、X,Y軸が水平面内でどのように回転し
ていても、水平成分を次式の如く合成して求めれば、図
2に示す如く移動目標10は常にX軸に平行に進むもの
と考えて解析できることを意味する。The total magnetic field produced by the moving target 10 at any one point in space is one unique vector value, and the vertical component of the vector is one. Therefore, the horizontal component is also the total magnetic field and the vertical component. It is always decomposed in the plane including and becomes one fixed size. This means that, as long as the Z axis is in the vertical direction, no matter how the X and Y axes rotate in the horizontal plane, as long as the magnetic field generated by the moving target is treated by the vertical and horizontal components, This means that if the horizontal component is obtained by combining as in the following equation, the moving target 10 can always be considered to move parallel to the X-axis as shown in FIG.
【0020】 Hh=(Hx 2+Hy 2)1/2 …(4) 但し、 Hh:水平磁界成分 Hx:水平面内に在るX軸磁界成分 Hy:水平面内に在るY軸磁界成分H h = (H x 2 + H y 2 ) 1/2 (4) where H h : horizontal magnetic field component H x : X-axis magnetic field component in the horizontal plane H y : Y in the horizontal plane Axial magnetic field component
【0021】次に、未知のパラメータの数を少なくする
ために、水平磁界成分及び垂直磁界成分を全磁界の大き
さで除して正規化するために、水平磁界成分Hh及び全
磁界の大きさHtを求めると式(1),(2),(3)及び式(4)よ
り、それぞれ次式で表される。Next, in order to reduce the number of unknown parameters and normalize by dividing the horizontal magnetic field component and the vertical magnetic field component by the total magnetic field size, the horizontal magnetic field component H h and the total magnetic field size are calculated. When the height H t is calculated, it is expressed by the following equations from the equations (1), (2), (3) and the equation (4).
【0022】 Hh=(Hx 2+Hy 2)1/2=M(a2+b2)1/2/r5 …(5) Ht=(Hx 2+Hy 2+Hz 2)1/2 =M(a2+b2+c2)1/2 /r5 …(6)H h = (H x 2 + H y 2 ) 1/2 = M (a 2 + b 2 ) 1/2 / r 5 (5) H t = (H x 2 + H y 2 + H z 2 ) 1 / 2 = M (a 2 + b 2 + c 2) 1/2 / r 5 ... (6)
【0023】従って、水平磁界成分及び垂直磁界成分を
全磁界の大きさで除して正規化した値Hht及びHzt
は次式で表される。Therefore, the horizontal magnetic field component and the vertical magnetic field component are divided by the magnitude of the total magnetic field and the normalized values H ht and H zt are obtained.
Is expressed by the following equation.
【0024】 Hht=Hh/Ht=(a2+b2)1/2/(a2+b2+c2)1/2 …(7) Hzt=Hz/Ht=c/(a2+b2+c2)1/2 …(8)H ht = H h / H t = (a 2 + b 2 ) 1/2 / (a 2 + b 2 + c 2 ) 1/2 (7) H zt = H z / H t = c / (a 2 + b 2 + c 2 ) 1/2 (8)
【0025】一方、測定・集録ステップにおいては、前
記装置1に設けられた3軸磁力計2(各軸をXm,Ym
及びZm軸とする)で各軸磁界成分Hxm,Hym,H
zmを実測する。実測された各軸磁界成分Hxm,H
ym,Hzmは、3軸磁力計2をジンバルを用いてXm
Ym面を水平に、Zm軸を垂直に保持するか、装置1に
別途、Xm及びYm軸の傾きをそれぞれ検出できる2個
の傾斜計を設け、集録されたデータを加工するデータ変
換ステップにおいて、座標変換によりXm,Ym、及び
Zm各軸の測定磁界成分を、それぞれ前記装置座標系の
水平面内のX,Y軸及び垂直Z軸の成分に変換する事が
できる。この変換後の各軸磁界成分をHs x,Hsy,
Hszと表せば、水平磁界成分及び垂直磁界成分を全磁
界で除した値は次式で求められる。On the other hand, in the measurement / acquisition step, the three-axis magnetometer 2 (each axis is X m , Y m
And Z m axes) for each axial magnetic field component H xm , H ym , H
Measure zm . Measured axial magnetic field components H xm , H
ym and H zm are three-axis magnetometer 2 using a gimbal and X m
Data for processing the collected data by holding the Y m surface horizontally and the Z m axis vertically or by separately providing the device 1 with two inclinometers capable of detecting the tilts of the X m and Y m axes, respectively. In the transforming step, the coordinate transformation may transform the measured magnetic field components of the X m , Y m , and Z m axes into the X, Y-axis and vertical Z-axis components in the horizontal plane of the device coordinate system, respectively. The axial magnetic field components after this conversion are represented by H s x , H sy ,
Expressed as H sz , the value obtained by dividing the horizontal magnetic field component and the vertical magnetic field component by the total magnetic field is obtained by the following equation.
【0026】 Hsht=(Hsx 2+Hsy 2)1/2/(Hsx 2+Hsy 2+Hsz 2 )1/2 …(9) Hszt=Hsz/(Hsx 2+Hsy 2+Hsz 2)1/2 …(10)H sht = (H sx 2 + H sy 2 ) 1/2 / (H sx 2 + H sy 2 + H sz 2 ) 1/2 (9) H szt = H sz / (H sx 2 + H sy 2 + H sz 2 ) 1/2 (10)
【0027】前記測定・集録ステップ及びそのステップ
で集録されたデータを加工するデータ変換ステップで
は、この2個の値Hsht,Hsztを、例えば全磁界
があらかじめ定めた小さな値を超えた時刻T=tsか
ら、所定のサンプリング時間で時系列的に集録処理し始
める。全磁界の極大・極小を利用するとか、装置にハイ
ドロホンを設け、移動目標の発生する音響信号を連続的
に聴音し、その値が最大になる時刻を最接近時刻とする
などの方法により、移動目標が装置のほぼ最接近位置に
在ることを知り、この時刻T=teで集録を止める(な
お、最接近位置を僅かに過ぎた時刻まで集録してもよ
い。)。この時をt=0とし(即ち、実測中の任意時刻
をTとすれば、t=T−te)、目標は位置(x0,y
0,z0)にあると仮定する。そうすれば、等速vで直
進する移動目標の任意時刻t=tに於ける位置(x,
y,z)は次式で表される。In the measurement / acquisition step and the data conversion step for processing the data acquired in the step, these two values H sht and H szt are, for example, time T when the total magnetic field exceeds a predetermined small value. From t s , acquisition processing is started in a time series at a predetermined sampling time. By using the maximum and minimum of the total magnetic field, or by installing a hydrophone in the device and continuously listening to the acoustic signal generated by the moving target, the time when the value becomes maximum is set as the closest time, knows that the moving target is in a substantially closest position of the apparatus, stop the acquisition at this time T = t e (it is also possible to acquire until the time that slightly past the closest position.). When this is a t = 0 (i.e., if any time during actual measurement and T, t = T-t e ), the target position (x 0, y
0 , z 0 ). Then, the position (x,
y, z) is expressed by the following equation.
【0028】x=x0+v・t …(11) y=y0 …(12) z=z0 …(13)X = x 0 + v · t (11) y = y 0 (12) z = z 0 (13)
【0029】従って、t=tに於ける実測値H
sht(t)及びHszt(t)にそれぞれ対応する理論値
Hht(t)及びHzt(t)が7個の未知のパラメータx
0,y0,z 0,v,cosα,cosβ及びcosγを含んで
前述の式(7),(8)で与えられる。しかし、前記式(7),(8)
のHht及びHztの右辺に、kを任意の実数とした場
合、(x0,y0,z0,v,cosα,cosβ,cosγ)
の組み合わせを代入した場合と(kx0,ky0,kz
0,kv,cosα,cosβ,cosγ)の組み合わせを代入
した場合では同じ値となるために、最小自乗法を適用す
るには、上述の7個の未知のパラメータの内少なくとも
一つが既知でなければならない。Therefore, the measured value H at t = t
sht(t) and Hszttheoretical value corresponding to (t)
Hht(t) and Hzt(t) is 7 unknown parameters x
0, Y0, Z 0, V, cosα, cosβ and cosγ
It is given by the above equations (7) and (8). However, the above formulas (7), (8)
HhtAnd HztIf k is an arbitrary real number on the right side of
If (x0, Y0, Z0, V, cosα, cosβ, cosγ)
When the combination of0, Ky0, Kz
0, Kv, cosα, cosβ, cosγ)
The same value, the least squares method is applied.
At least one of the above 7 unknown parameters
One must be known.
【0030】先ず、装置1が水中に設置される場合、装
置1に別途深度計を設ければ、水上移動目標に対しては
相対深度z0が既知となるので前記式(1),(2),(3)及び
式(11),(12),(13)のx0,y0,z0,v,rのそれぞ
れをz0で除して正規化した値をX0,Y0,Z0,
V,Rと表わせば、X,Y0,Z0,V,Rは次のとお
りとなる。First, when the apparatus 1 is installed in water, if the apparatus 1 is provided with a separate depth meter, the relative depth z 0 is known for the moving target on the water. Therefore, the above equations (1), (2 ), (3) and the formulas (11), (12) and (13), x 0 , y 0 , z 0 , v and r are each divided by z 0 to obtain a normalized value which is X 0 , Y 0. , Z 0 ,
Expressed as V and R, X, Y 0 , Z 0 , V and R are as follows.
【0031】 X =x/z0=(x0/z0)+(v/z0)・t =X0+V・t …(14) X0=x0/z0 …(15) V =v/z0 …(16) Y0=y0/z0 …(17) Z0=z0/z0=1 …(18) R =r/z0 …(19)X = x / z 0 = (x 0 / z 0 ) + (v / z 0 ) · t = X 0 + V · t (14) X 0 = x 0 / z 0 (15) V = v / z 0 (16) Y 0 = y 0 / z 0 (17) Z 0 = z 0 / z 0 = 1 (18) R = r / z 0 (19)
【0032】これらの関係を前述の式(7),(8)に代入す
れば、次の関係式が得られる。
Hht=Hh/Ht=(A2+B2)1/2/(A2+B2+C2)1/2
…(20)
Hzt=Hz/Ht=C/(A2+B2+C2)1/2 …(21)
但し、
Hh:装置位置(3軸磁力計位置)に於ける移動目標の
水平磁界成分。
Hz:装置位置(3軸磁力計位置)に於ける移動目標の
垂直磁界成分。
Ht:装置位置(3軸磁力計位置)に於ける移動目標の
全磁界の大きさ。
A=(3X2−R2)cosα+3XY0cosβ+3XZ0
cosγ
B=3XY0cosα+(3Y0 2−R2)cosβ+3Z0
Y0cosγ
C=3XZ0cosα+3Z0Y0cosβ+(3Z0 2−R
2)cosγBy substituting these relationships into the above equations (7) and (8), the following relational expressions are obtained. H ht = H h / H t = (A 2 + B 2 ) 1/2 / (A 2 + B 2 + C 2 ) 1/2 (20) H zt = H z / H t = C / (A 2 + B 2 + C 2 ) 1/2 (21) where H h is the horizontal magnetic field component of the moving target at the device position (3-axis magnetometer position). H z : vertical magnetic field component of the moving target at the device position (3-axis magnetometer position). H t : The magnitude of the total magnetic field of the moving target at the device position (3-axis magnetometer position). A = (3X 2 -R 2) cosα + 3XY 0 cosβ + 3XZ 0
cosγ B = 3XY 0 cosα + (3Y 0 2 −R 2 ) cosβ + 3Z 0
Y 0 cosγ C = 3XZ 0 cos α + 3Z 0 Y 0 cosβ + (3Z 0 2 −R
2 ) cosγ
【0033】図3は水平磁界成分Hhについて理論式と
実測値の関係の1例であり、図中、5は理論式Hh=
(t:x0,y0,z0,cosα,cosβ,cosγ)の曲線
を表し、6はサンプリング時刻tiに於ける実測値H
sh(ti)、7はサンプリング時刻tiに於ける水平磁
界成分の残差式y1=Hh(ti)−Hsh(ti)を表し
ている。FIG. 3 shows an example of the relationship between the theoretical formula and the actually measured value for the horizontal magnetic field component H h . In the figure, 5 is the theoretical formula H h =
(t: x 0 , y 0 , z 0 , cos α, cos β, cos γ), where 6 is the actual measurement value H at the sampling time t i
sh (t i ), 7 represents the residual expression y 1 = H h (t i ) −H sh (t i ) of the horizontal magnetic field component at the sampling time t i .
【0034】前記算出ステップでは、最小自乗法を適用
する為に、図3示すような、各サンプリング時刻に於け
る理論値と実測値の残差式を作成するとともに、方向余
弦の自乗和は常に1でなければならないので、残差式の
形式で追加すると、次の3個の残差式が定められる。こ
の場合の未知のパラメータはX0,Y0,V,cosα,c
osβ,cosγの6個となる。In the calculation step, in order to apply the least squares method, a residual expression of theoretical value and actual measured value at each sampling time is created as shown in FIG. 3, and the sum of squares of direction cosine is always calculated. Since it must be 1, when added in the form of residual equations, the following three residual equations are defined. The unknown parameters in this case are X 0 , Y 0 , V, cos α, c
There are six osβ and cosγ.
【0035】 y1=Hht(t)−Hsht(t) …(22) y2=Hzt(t)−Hszt(t) …(23) y3=cos2α+cos2β+cos2γ−1 …(24)Y 1 = H ht (t) -H sht (t) (22) y 2 = H zt (t) -H szt (t) (23) y 3 = cos 2 α + cos 2 β + cos 2 γ- 1 (24)
【0036】これより、次の評価関数Sが最小に成るよ
うに既存の最小自乗法により、上述の6個のパラメータ
X0,Y0,V,cosα,cosβ,及びcosγが求められ
る。From the above, the above-mentioned six parameters X 0 , Y 0 , V, cos α, cos β, and cos γ are obtained by the existing least squares method so that the next evaluation function S is minimized.
【0037】
S=Σ(y1 2+y2 2+y3 2) …(25)
但し、Σは全てのサンプリング時刻の値の総和を計算す
る事を示している。S = Σ (y 1 2 + y 2 2 + y 3 2 ) (25) However, Σ indicates that the sum of the values at all sampling times is calculated.
【0038】6個のパラメータX0,Y0,V,cos
α,cosβ及びcosγが求まれば、式(14)乃至(19)の関係
を利用して、既知であるz0以外の座標x0及びy0が
次のように求められる。Six parameters X 0 , Y 0 , V, cos
Once α, cos β, and cos γ are obtained, the known coordinates x 0 and y 0 other than z 0 are obtained as follows using the relationships of equations (14) to (19).
【0039】 x0=X0z0 …(26) y0=Y0z0 …(27)X 0 = X 0 z 0 (26) y 0 = Y 0 z 0 (27)
【0040】また、式(1),(2),(3)の関係より、目標の
磁気モーメントの大きさMは次式で表される。Further, from the relation of the equations (1), (2) and (3), the target magnetic moment magnitude M is expressed by the following equation.
【0041】 M=(Hx 2+Hy 2+Hz 2)1/2r5/(a2+b2+c2)1/2 =Htr5/(a2+b2+c2)1/2 …(28)M = (H x 2 + H y 2 + H z 2 ) 1/2 r 5 / (a 2 + b 2 + c 2 ) 1/2 = H t r 5 / (a 2 + b 2 + c 2 ) 1/2 … (28)
【0042】ここで、Htとしては、t=0に於ける実
測値の全磁界の大きさを使用すれば、式(28)の右辺の残
りの未知数は全てt=0、則ちx0,y0,z0に於い
て解かれているのでMを知ることができる。そして、こ
の磁気モーメントの大きさMから移動目標を識別するこ
とが可能である。Here, if the magnitude of the total magnetic field measured at t = 0 is used as H t , the remaining unknowns on the right side of the equation (28) are all t = 0, that is, x 0. , Y 0 , z 0 , so that M can be known. Then, the moving target can be identified from the magnitude M of the magnetic moment.
【0043】次に、t=0に於いて、前記装置1より音
響パルスを発し、目標からのエコーを検出し、その時間
から目標と装置(3軸磁力計位置)との直距離Rsmを
知る方法などにより、直距離Rsmが既知である場合
は、z0を適当に仮定して上述と同じ方法で仮の
(x0,y0,z0)及び磁気モーメントMを求め、次
式により、t=0に於ける目標の実際の位置(x00,
y00,z00)及び実際の磁気モーメントM00を求
めることができる。Next, at t = 0, an acoustic pulse is emitted from the device 1, an echo from the target is detected, and the direct distance R sm between the target and the device (position of the triaxial magnetometer) is detected from the time. by a method to know, if a straight distance R sm is known, z 0 appropriately assuming a temporary in the same manner as described above (x 0, y 0, z 0) and determine the magnetic moment M, the following equation Thus, the actual position of the target at t = 0 (x 00 ,
y 00 , z 00 ) and the actual magnetic moment M 00 can be determined.
【0044】 x00=x0Rsm/r0 …(29) y00=y0Rsm/r0 …(30) z00=z0Rsm/r0 …(31) M00=M(Rsm/r0)1/3 …(32) 但し、 r0=(x0 2+y0 2+z0 2)1/2 X 00 = x 0 R sm / r 0 (29) y 00 = y 0 R sm / r 0 (30) z 00 = z 0 R sm / r 0 (31) M 00 = M ( R sm / r 0 ) 1/3 (32) However, r 0 = (x 0 2 + y 0 2 + z 0 2 ) 1/2
【0045】次に、目標の発する音響信号のドプラー効
果などを利用して目標の速度vが既知である場合は、次
の式(33)乃至(38)に示す如く式(1),(2),(3)及び式(11),
(12),(13)の諸量をvで除して、この関係を前述の式
(7),(8)に代入すれば、前述の式(20),(21)の関係式が得
られる。この場合の未知のパラメータはX0,Y0,Z
0,cosα,cosβ,cosγの6個となる。前述の場合と
同様に、式(25)の評価関数Sが最小に成るように既存の
最小自乗法により、上述の6個のパラメータを求めれ
ば、t=0に於ける目標の位置(x0,y0,z0)は
以下の式(33)乃至(38)の関係式より求まり、磁気モーメ
ントの大きさMは式(28)を用いて前述した場合と同様に
して求められる。Next, the Doppler effect of the acoustic signal emitted by the target
If the target speed v is known using the result,
Equations (33) to (38) as shown in Equations (1), (2), (3) and Equation (11),
Dividing the quantities of (12) and (13) by v,
Substituting into (7) and (8), we obtain the relational expressions of the above equations (20) and (21).
To be The unknown parameter in this case is X0, Y0, Z
0, Cos α, cos β, cos γ. As in the case above
Similarly, the existing evaluation function S of Eq. (25) is minimized.
Find the above 6 parameters by least squares method
For example, the target position (x0, Y0, Z0) Is
Calculated from the following relational expressions (33) to (38), the magnetic moment
The size M of the component is the same as that described above using the equation (28).
Is required.
【0046】 X =x/v=(x0/v)+t =X0+t …(33) X0=x0/v …(34) V =v/v=1 …(35) Y0=y0/v …(36) Z0=z0/v …(37) R =r/v …(38)X = x / v = (x 0 / v) + t = X 0 + t (33) X 0 = x 0 / v (34) V = v / v = 1 (35) Y 0 = y 0 / v (36) Z 0 = z 0 / v (37) R = r / v (38)
【0047】上述では、装置座標系に於いて位置(x,
y,z)に在る移動目標が一つの磁気双極子とみなせる
磁気モーメントMを有すると仮定したが、移動目標の大
きさに比して装置との距離が短い場合は、図4の如く移
動目標上、進路方向に複数の磁気双極子が分布するとい
う仮定のほうが適切なこともある。この場合、m個から
なる磁気双極子の各々の磁気モーメントをmk、その方
向余弦(cosαk,cosβk,cosγk)、位置座標を
(x−dk,yo,z0)と表わす。但し、k=0,
1,2,・・・,m−1である。各磁気モーメントmk
が原点につくる磁界のx,y,z成分は、式(1),(2),
(3)と同様に次のとおりとなる。In the above description, the position (x,
It is assumed that the moving target in y, z) has a magnetic moment M that can be regarded as one magnetic dipole, but when the distance to the device is short compared to the size of the moving target, the moving target moves as shown in FIG. For the purposes, it may be more appropriate to assume that the magnetic dipoles are distributed in the path direction. In this case, the magnetic moment of each of the m magnetic dipoles is represented by m k , its direction cosine (cos α k , cos β k , cos γ k ), and the position coordinates are represented by (x−d k , yo , z 0 ). . However, k = 0,
1, 2, ..., M-1. Each magnetic moment m k
The x, y, z components of the magnetic field created by the origin are expressed by equations (1), (2),
The same as in (3):
【0048】
Hxk=mkak/rk 5 …(39)
Hyk=mkbk/rk 5 …(40)
Hzk=mkck/rk 5 …(41)
但し、
ak={3(x−dk)2−rk 2}cosαk+3(x−d
k)ycosβk +3z(x−dk)cosγk
bk=3(x−dk)ycosαk+(3y2−rk 2)co
sβk+3yzcosγk
ck=3z(x−dk)cosαk+3yzcosβk+(3z
2−rk 2)cosγk
rk={(x−dk)2+y2+z2}1/2
k=0,1,2,・・・,m−1[0048]
Hxk= Mkak/ Rk 5 … (39)
Hyk= Mkbk/ Rk 5 … (40)
Hzk= Mkck/ Rk 5 … (41)
However,
ak= {3 (x-dk)Two-Rk Two} Cos αk+3 (x-d
k) ycosβk + 3z (x-dk) cosγk
bk= 3 (x-dk) Ycos αk+ (3yTwo-Rk Two) Co
sβk+ 3yzcosγk
ck= 3z (x-dk) cos αk+ 3yzcosβk+ (3z
Two-Rk Two) Cosγk
rk= {(X-dk)Two+ YTwo+ ZTwo}1/2
k = 0, 1, 2, ..., M-1
【0049】従って、全ての磁気モーメントによる原点
に於ける磁界Hx,Hy,Hzは、Σがk=0からk=
m−1までの総和を表すものとすると次式となる。Therefore, the magnetic fields H x , H y and H z at the origin due to all the magnetic moments have Σ from k = 0 to k =
If the sum total up to m-1 is represented, the following equation is obtained.
【0050】Hx=ΣHxk …(42) Hy=ΣHyk …(43) Hz=ΣHzk …(44)[0050] H x = ΣH xk ... (42 ) H y = ΣH yk ... (43) H z = ΣH zk ... (44)
【0051】これらの式(42),(43),(44)を使用すると式
(5),(6)の関係が得られ、式(22),(23),(24)と同様に最
小自乗法を適用する為の、各サンプリング時刻に於ける
理論値と実測値の残差式、及び方向余弦の自乗和の法則
より、次の(m+2)個の残差式が定められる。モーメン
トm個の場合の未知のパラメータは(5m+2)個とな
る。Using these equations (42), (43), (44),
The relationship between (5) and (6) is obtained, and the theoretical and actual values remain at each sampling time for applying the least squares method as in Eqs. (22), (23), and (24). The following (m + 2) residual equations are determined from the difference equation and the law of the sum of squares of the direction cosine. In the case of m moments, the unknown parameters are (5m + 2).
【0052】 y1=Hh(t)−Hsh(t) …(45) y2=Hz(t)−Hsz(t) …(46) y3=cos2α0 +cos2β0 +cos2γ0 −1 …(47-1) y4=cos2α1 +cos2β1 +cos2γ1 −1 …(47-2) ・ ・ ・ ・ ・ ・ ・ ・ ・ ym+2=cos2αm−1+cos2βm−1+cos2γm−1−1 …(47-m)Y 1 = H h (t) -H sh (t) (45) y 2 = H z (t) -H sz (t) (46) y 3 = cos 2 α 0 + cos 2 β 0 + Cos 2 γ 0 -1 (47-1) y 4 = cos 2 α 1 + cos 2 β 1 + cos 2 γ 1 -1 (47-2) ・ ・ ・ ・ ・ ・ ・ ・ ・ ym + 2 = cos 2 α m-1 + cos 2 β m-1 + cos 2 γ m-1 -1 (47-m)
【0053】これより、次の評価関数Sが最小に成るよ
うに既存の最小自乗法により、上述のパラメータが求め
られる。From this, the above-mentioned parameters are obtained by the existing least squares method so that the following evaluation function S is minimized.
【0054】
S=Σ(y1 2+y2 2+y3 2+…+ym+2 2) …(48)
但し、Σは全てのサンプリング時刻の値の総和を計算す
る事を示している。S = Σ (y 1 2 + y 2 2 + y 3 2 + ... + ym +2 2 ) (48) However, Σ indicates that the sum of the values at all sampling times is calculated.
【0055】また、これまでは残差式y1,y2をそれ
ぞれ水平磁界成分、垂直磁界成分の各サンプリング時刻
に於ける理論値と実測値との差としたが、3軸成分の実
測値と式(42),(43),(44)等で表せる理論値との残差式と
してもよい。この場合の残差式は以下の式となる。In the past, the residual equations y 1 and y 2 were defined as the difference between the theoretical value and the measured value of the horizontal magnetic field component and the vertical magnetic field component at each sampling time. And a theoretical value represented by the equations (42), (43), (44), etc. may be used as a residual equation. The residual equation in this case is as follows.
【0056】 y1=Hx(t)−Hsx(t) …(49) y2=Hy(t)−Hsy(t) …(50) y3=Hz(t)−Hsz(t) …(51) y4=cos2α0 +cos2β0 +cos2γ0 −1 …(52) ・ ・ ・ ・ ・ ・ ・ ・ ・Y 1 = H x (t) -H sx (t) (49) y 2 = H y (t) -H sy (t) (50) y 3 = H z (t) -H sz (t)… (51) y 4 = cos 2 α 0 + cos 2 β 0 + cos 2 γ 0 -1… (52) ・ ・ ・ ・ ・ ・ ・ ・ ・ ・ ・
【0057】この場合、等速直進する移動目標の任意時
刻t=tに於ける位置(x,y,z)は次式のように速
度成分をvx,vyに分けて表わす必要がある。In this case, the position (x, y, z) at the arbitrary time t = t of the moving target that travels straight at a constant speed must be expressed by dividing the velocity component into v x and v y as in the following equation. .
【0058】x=x0+vx・t …(53) y=y0+vy・t …(54) z=z0 …(55)X = x 0 + v x · t (53) y = y 0 + v y · t (54) z = z 0 (55)
【0059】なお、上記各式において、データ変換ステ
ップは、磁力計で実測される添字mが付いた値(測定・
集録ステップで集録されたデータ)を理論値と残差をと
れるような形に変換するステップであり、Hsx,H
sy,Hsz等の添字sが付いた値はデータ変換ステッ
プを経たものであり、式(9),(10),(22),(23),(29),(3
0),(31),(45),(46),(49),(50),(51)の添字sが付いたも
のが相当する。In each of the above equations, the data conversion step is a value (measurement
H sx , H is the step of converting the data acquired in the acquisition step) into a form that can take the theoretical value and the residual.
The values with subscript s such as sy and H sz have been subjected to the data conversion step, and are represented by the equations (9), (10), (22), (23), (29), (3
The ones with the subscript s of 0), (31), (45), (46), (49), (50), and (51) correspond.
【0060】上記実施の形態では、移動目標が発生する
信号が磁界の場合で説明したが、本発明は、移動目標が
発生する信号により空間上の任意の1点につくる場が式
(1),(2),(3)の如く所定の理論式で表される電界、音響
信号等についても適用することができる。In the above embodiment, the case where the signal generated by the moving target is a magnetic field has been described, but in the present invention, the field generated at any one point in space by the signal generated by the moving target is expressed by the equation.
The present invention can also be applied to an electric field, an acoustic signal, and the like expressed by a predetermined theoretical formula like (1), (2), and (3).
【0061】以上本発明の実施の形態について説明して
きたが、本発明はこれに限定されることなく請求項の記
載の範囲内において各種の変形、変更が可能なことは当
業者には自明であろう。Although the embodiment of the present invention has been described above, it is obvious to those skilled in the art that the present invention is not limited to this and various modifications and changes can be made within the scope of the claims. Ah
【0062】[0062]
【発明の効果】以上説明したように、本発明に係る移動
目標の相対位置検出方法によれば、1個所に配された検
出器で等速直線運動を行っている移動目標と前記検出器
との相対位置を検出し、移動目標の接近を知ることがで
きる。As described above, according to the method of detecting the relative position of the moving target according to the present invention, the moving target performing the uniform linear motion with the detector arranged at one location and the detector. It is possible to detect the approach of the moving target by detecting the relative position of.
【0063】また、移動目標の信号源の大きさが求めら
れ、移動目標と信号源の大きさを関連付けたデータベー
スを用いることにより、移動目標を識別することができ
る。Further, the size of the signal source of the moving target is obtained, and the moving target can be identified by using the database in which the size of the moving target and the size of the signal source are associated with each other.
【図1】本発明に係る移動目標の相対位置検出方法の実
施の形態における各軸磁界成分を定める「装置座標系」
及び算出するパラメータを説明するための説明図であるFIG. 1 is an “apparatus coordinate system” that determines each axial magnetic field component in an embodiment of a moving target relative position detection method according to the present invention.
FIG. 3 is an explanatory diagram for explaining parameters to be calculated and
【図2】本発明の実施の形態における移動目標の進路の
解析を説明するための説明図である。FIG. 2 is an explanatory diagram for explaining analysis of a course of a moving target according to the embodiment of the present invention.
【図3】本発明の実施の形態における最小自乗法の残差
式を説明するための説明図である。FIG. 3 is an explanatory diagram for explaining a residual expression of a least square method according to the embodiment of the present invention.
【図4】本発明の実施の形態における移動目標上、進路
方向に複数の磁気双極子が分布するという仮定を説明す
るための説明図である。FIG. 4 is an explanatory diagram for explaining the assumption that a plurality of magnetic dipoles are distributed in the traveling direction on the moving target according to the embodiment of the present invention.
1 装置
2 3軸磁力計
5 理論式 Hh=(t:x0,y0,z0,cosα,c
osβ,cosγ)
6 tiに於ける実測値Hsh(ti)
7 サンプリング時刻tiに於ける水平磁界成分の残
差式y1=Hh(ti)−Hsh(ti)
10 移動目標 位置座標(x,y,z)
11 磁気モーメント
12 移動目標の針路 x=x0+v・t,y=yo,
z=z0
α 磁気モーメントと装置座標系におけるX軸との成
す角
β 磁気モーメントと装置座標系におけるY軸との成
す角
γ 磁気モーメントと装置座標系におけるZ軸との成
す角
r 移動目標と装置との距離1 device 2 3-axis magnetometer 5 theoretical formula H h = (t: x 0 , y 0 , z 0 , cos α, c
osβ, cosγ) 6 t i actual measurement value H sh (t i ) 7 residual error equation y 1 = H h (t i ) −H sh (t i ) 10 of the horizontal magnetic field component at the sampling time t i Moving target position coordinates (x, y, z) 11 Magnetic moment 12 Moving target course x = x 0 + v · t, y = yo ,
z = z 0 α Angle between magnetic moment and X axis in device coordinate system β Angle between magnetic moment and Y axis in device coordinate system γ Angle between magnetic moment and Z axis in device coordinate system r Moving target Distance to device
───────────────────────────────────────────────────── フロントページの続き (72)発明者 福本 誠 東京都世田谷区上馬5−21−11株式会社 石川製作所東京研究所内 (72)発明者 下出 和幸 東京都世田谷区上馬5−21−11株式会社 石川製作所東京研究所内 (56)参考文献 特開 平1−288787(JP,A) 特開 平9−152481(JP,A) 特開 平10−62509(JP,A) 特開 平10−62510(JP,A) 特開 昭59−211877(JP,A) 特開 平3−276002(JP,A) 特開 平3−176293(JP,A) 特許2500347(JP,B2) 特公 平7−78540(JP,B2) (58)調査した分野(Int.Cl.7,DB名) G01S 3/80 - 3/86 G01S 5/18 - 5/30 G01S 7/52 - 7/64 G01S 15/00 - 15/96 G01V 3/08 - 3/11 G01R 33/02 ─────────────────────────────────────────────────── ─── Continuation of the front page (72) Inventor Makoto Fukumoto 5-21-11 Kamima, Setagaya-ku, Tokyo Inside the Ishikawa Works Tokyo Research Laboratory (72) Inventor Kazuyuki Shimoide 5-21- Kamima, Setagaya-ku, Tokyo 11 Ishikawa Mfg. Co., Ltd. Tokyo Research Laboratory (56) Reference JP-A-1-288787 (JP, A) JP-A-9-154881 (JP, A) JP-A-10-62509 (JP, A) JP-A-10 -62510 (JP, A) JP 59-211877 (JP, A) JP 3-276002 (JP, A) JP 3-176293 (JP, A) JP 2500347 (JP, B2) JP 7-78540 (JP, B2) (58) Fields investigated (Int.Cl. 7 , DB name) G01S 3/80-3/86 G01S 5/18-5/30 G01S 7 /52-7/64 G01S 15 / 00-15/96 G01V 3/08-3/11 G01R 33/02
Claims (2)
直交3軸成分を捕捉する1個所に配置された検出器を用
い、該検出器と等速直線運動をする移動目標との相対位
置を検出する移動目標の相対位置検出方法であって、 前記移動目標の発生する磁界又は電界信号を、前記移動
目標が前記検出器に対して少なくとも最接近位置となる
時刻まで時系列的に測定・集録する測定・集録ステップ
と、 前記測定・集録ステップで集録されたデータを加工する
データ変換ステップと、前記移動目標と前記検出器間の高度差又は距離、あるい
は前記移動目標の速度のいずれか1つを既知とし、 前記
データ変換ステップで得られた変換データと理論式によ
る値との残差式を用いて最小自乗法により未知のパラメ
ータを算出する算出ステップとに基づいて、移動目標の
相対位置を検出するとともに、 前記測定・集録ステップ、前記データ変換ステップ及び
前記算出ステップにより、前記移動目標の信号源の大き
さを得て目標を識別する ことを特徴とする移動目標の相
対位置検出方法。1. A detector disposed at one location for capturing orthogonal three-axis components of a magnetic field or electric field signal generated by a moving target is used, and the relative position between the detector and the moving target performing constant-velocity linear motion is determined. A relative position detecting method of a moving target to be detected, wherein a magnetic field or an electric field signal generated by the moving target is measured and acquired in time series until the moving target reaches at least the closest position to the detector. Measurement / acquisition step, a data conversion step for processing the data acquired in the measurement / acquisition step, an altitude difference or distance between the moving target and the detector, or
Is a step of calculating an unknown parameter by the least square method using a residual expression of the converted data obtained in the data conversion step and a value based on a theoretical expression with any one of the moving target velocities known. Based on, and detecting the relative position of the moving target , the measurement and acquisition step, the data conversion step and
According to the calculation step, the magnitude of the signal source of the moving target
A method for detecting the relative position of a moving target, characterized in that the target is obtained by identifying the target .
信号源が複数に分割されたものとした理論式を用いる請
求項1記載の移動目標の相対位置検出方法。The method according to claim 2, wherein the calculating step, using a theoretical formula which assumes that the signal source of the moving target is divided into a plurality 請
The method for detecting the relative position of a moving target according to claim 1 .
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Cited By (2)
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|---|---|---|---|---|
| JP2006098381A (en) * | 2004-09-06 | 2006-04-13 | Universal Shipbuilding Corp | Moving object position estimation detection method, apparatus, and moving object position estimation detection program |
| JP2008256400A (en) * | 2007-04-02 | 2008-10-23 | Universal Shipbuilding Corp | Method and device for estimating and detecting position of moving body etc. and program of method for estimating and detecting position of moving body etc. |
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|---|---|---|---|---|
| JP4494268B2 (en) * | 2005-03-29 | 2010-06-30 | ユニバーサル特機株式会社 | Detecting buoy |
| JP4647475B2 (en) * | 2005-12-01 | 2011-03-09 | ユニバーサル特機株式会社 | Moving object position estimation detection method, apparatus, and moving object position estimation detection program |
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| JP5575214B2 (en) * | 2012-12-07 | 2014-08-20 | 防衛省技術研究本部長 | Magnetic measurement system |
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|---|---|---|---|---|
| JP2500347B2 (en) | 1992-08-21 | 1996-05-29 | 防衛庁技術研究本部長 | Positioning device for moving objects using three 1-axis magnetometers |
-
2002
- 2002-07-03 JP JP2002194469A patent/JP3395136B2/en not_active Expired - Lifetime
Patent Citations (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JP2500347B2 (en) | 1992-08-21 | 1996-05-29 | 防衛庁技術研究本部長 | Positioning device for moving objects using three 1-axis magnetometers |
Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JP2006098381A (en) * | 2004-09-06 | 2006-04-13 | Universal Shipbuilding Corp | Moving object position estimation detection method, apparatus, and moving object position estimation detection program |
| JP2008256400A (en) * | 2007-04-02 | 2008-10-23 | Universal Shipbuilding Corp | Method and device for estimating and detecting position of moving body etc. and program of method for estimating and detecting position of moving body etc. |
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| JP2002333484A (en) | 2002-11-22 |
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