JPS59116562A - Estimating system of signal incident angle - Google Patents

Estimating system of signal incident angle

Info

Publication number
JPS59116562A
JPS59116562A JP57225908A JP22590882A JPS59116562A JP S59116562 A JPS59116562 A JP S59116562A JP 57225908 A JP57225908 A JP 57225908A JP 22590882 A JP22590882 A JP 22590882A JP S59116562 A JPS59116562 A JP S59116562A
Authority
JP
Japan
Prior art keywords
signal
value
phase difference
array
elements
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.)
Granted
Application number
JP57225908A
Other languages
Japanese (ja)
Other versions
JPH0138270B2 (en
Inventor
Masao Igarashi
正夫 五十嵐
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Oki Electric Industry Co Ltd
Original Assignee
Oki Electric Industry Co Ltd
Priority date (The priority date 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 date listed.)
Filing date
Publication date
Application filed by Oki Electric Industry Co Ltd filed Critical Oki Electric Industry Co Ltd
Priority to JP57225908A priority Critical patent/JPS59116562A/en
Publication of JPS59116562A publication Critical patent/JPS59116562A/en
Publication of JPH0138270B2 publication Critical patent/JPH0138270B2/ja
Granted legal-status Critical Current

Links

Classifications

    • GPHYSICS
    • G01MEASURING; TESTING
    • G01SRADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
    • G01S3/00Direction-finders for determining the direction from which infrasonic, sonic, ultrasonic, or electromagnetic waves, or particle emission, not having a directional significance, are being received
    • G01S3/80Direction-finders for determining the direction from which infrasonic, sonic, ultrasonic, or electromagnetic waves, or particle emission, not having a directional significance, are being received using ultrasonic, sonic or infrasonic waves
    • G01S3/802Systems for determining direction or deviation from predetermined direction
    • G01S3/808Systems for determining direction or deviation from predetermined direction using transducers spaced apart and measuring phase or time difference between signals therefrom, i.e. path-difference systems

Landscapes

  • Physics & Mathematics (AREA)
  • Engineering & Computer Science (AREA)
  • General Physics & Mathematics (AREA)
  • Radar, Positioning & Navigation (AREA)
  • Remote Sensing (AREA)
  • Measurement Of Velocity Or Position Using Acoustic Or Ultrasonic Waves (AREA)
  • Radar Systems Or Details Thereof (AREA)

Abstract

PURPOSE:To broaden the view angle along with a higher estimated accuracy at the estimation of a signal incident angle by employing an array in which other elements are added to two elements arranged at an interval of less than a half of a signal wavelength in such a manner as to be larger in the interval than that therebetween. CONSTITUTION:Elements 11-13 are arranged on the X axis with the wavelength of a signal set at lambda0 in the center frequency thereof, intervals d1 and d2 of the elements are selected to meet d1<=lambda0/2 and d2>lambda0/2. Signals received with elements 11-13 of the array are amplified and after removal of unnecessary band components with band pass filters 31-33, inputted into phase difference estimating devices 41 and 42 to determine an estimated value of a phase difference phi1 and an estimated value of a phase difference phi2 respectively. This allows the determination of a rough estimated value tau2 of a delay time difference of the third element and a time delay difference mu2 corresponding to the phase difference phi2. An angle converter 11 outputs an estimated value theta at an output terminal 12 from an forecast value of a delay time difference corresponding to a time difference value nT0.

Description

【発明の詳細な説明】 (技術分野) 本発明は、雑音を含む狭帯域信号を空間的に配列された
複数の素子からなるアレーで受信し、該アレーの2素子
の出力信号間の位相差を推定することにより、該信号の
アレーに対1−ろ入射角を求める信号入射角の推定方式
眞関する。
DETAILED DESCRIPTION OF THE INVENTION (Technical Field) The present invention receives a narrowband signal containing noise with an array consisting of a plurality of spatially arranged elements, and detects the phase difference between the output signals of two elements of the array. The method for estimating the signal incidence angle is directly related to determining the angle of incidence relative to the array of signals by estimating .

(背景技術) 2つの素子からなるアレーを用いて、該アレーの2素子
の出刃信号間の位相差を推定することにより、該アレー
上の基準軸に対する信号入射角を推定する信号入射角測
定装置は、ソーナー、音響測位装置あるいはレーダにお
いて広く用いられている。よく知られているように受信
信号が狭帯域信号である場合、前記信号入射角の推定に
おいてグローティング・ローブ眞よる曖昧さを避けるた
L込 めには、前記アレーの配列間隔を該狭帯域信号の波長の
1/2以下にとらなければならないという制約がある。
(Background Art) A signal incidence angle measurement device that uses an array consisting of two elements and estimates the signal incidence angle with respect to a reference axis on the array by estimating the phase difference between the blade signals of the two elements of the array. is widely used in sonar, acoustic positioning equipment or radar. As is well known, when the received signal is a narrowband signal, in order to avoid the ambiguity caused by the gloating lobe in estimating the signal incidence angle, the array spacing of the array can be set to the narrowband signal. There is a restriction that the wavelength must be less than 1/2 of the wavelength of .

一方、該受信信号には一般に雑音が相加されるから、前
記信号入射角の推定値には推定誤差が生じ、該誤差は例
えば文献「五十嵐、似烏;パ平面受波器アン−を用いた
5SBL音響測位方式°°、電子通信学会論文誌、Vo
 l、 J 65− A 、 No、 3」で示され・
ているように、前記素子の配列間隔長に反比例する。こ
のような理由のために従来は前記両者を考慮して、前記
アレーの2素子の配列間隔を信号波長の1/2にとるか
、あるいはアレーの各素子に指向性を持たせて該アレー
の視野角に制限を加えることによりサイド・ローブによ
る曖昧さを泣け、これによって前記素子の配列間隔を1
72以上にとる方法が用いられてきた。
On the other hand, since noise is generally added to the received signal, an estimation error occurs in the estimated value of the signal incidence angle. 5SBL acoustic positioning system°°, Transactions of the Institute of Electronics and Communication Engineers, Vo
1, J65-A, No. 3".
As shown, it is inversely proportional to the length of the arrangement interval of the elements. For these reasons, conventionally, taking both of the above into account, the spacing between the two elements of the array is set to 1/2 of the signal wavelength, or each element of the array is given directivity. By limiting the viewing angle, the ambiguity caused by side lobes can be eliminated, thereby reducing the array spacing of the elements to 1.
Over 72 methods have been used.

従ってこのような従来の方法では、信号入射角を推定す
るためのアレーの視野角を広くとろうとすると、素子の
配列間隔を信号波長の1/2以下にしなげA′シばなら
才、このため受信信号の信号対雑音比が低くなる(で伴
って十分な精度が得られなくなり、また該アレー素子の
配列間隔を信号波長の1/2以上にとる場合には、該ア
レーの視野角がjlj1]約を受けるという欠点がある
Therefore, in such conventional methods, if you want to widen the viewing angle of the array for estimating the signal incidence angle, it is difficult to set the array spacing of the elements to 1/2 or less of the signal wavelength. If the signal-to-noise ratio of the received signal becomes low (as a result, sufficient accuracy cannot be obtained), and if the arrangement interval of the array elements is set to 1/2 or more of the signal wavelength, the viewing angle of the array becomes ] It has the disadvantage of being subject to a contract.

(発明の課題) 本発明はこれらの欠点を除去するために、信号波長の1
/2以下の間隔で配列さA′シた2つの素子に該間隔よ
り長い間隔で配列された他の素子を付加したアレーを用
い、信号入射角の推定時における広い視野角と高い推定
精成の同時実現を目的とするものであり、以下詳細に説
明する。
(Problems to be solved by the invention) In order to eliminate these drawbacks, the present invention
By using an array consisting of two elements arranged at a spacing of /2 or less and another element arranged at a spacing longer than the spacing, a wide viewing angle and high estimation accuracy can be achieved when estimating the signal incidence angle. The purpose is to simultaneously realize the following, and will be explained in detail below.

(発明の構成および作用) 第1図は本発明の綿1の実施例のアレーの説明図であっ
て、11はアレーの第1の素子、1□はアレーの第2の
素子、13はアレーの第3の素子である。
(Structure and operation of the invention) FIG. 1 is an explanatory diagram of an array of cotton 1 of the present invention, in which 11 is the first element of the array, 1□ is the second element of the array, and 13 is the array. This is the third element.

本実施例では該アレーは直線アレーとし、各素子1、 
、1.、 +、 13はX軸上に配列され、素子11と
1□の間隔はdl、素子11と13の間隔はd2であり
、狭帯域信号源は十分遠方にあって平面波とみなせ、該
X軸に関する入射角はθであるとする。該信号の中心周
波数の波長を“λ0とすると、前記各素子の間隔d1゜
d2はd1≦λo/2td2>λ。/2に選ばれろ。
In this embodiment, the array is a linear array, and each element 1,
, 1. . Assume that the angle of incidence with respect to is θ. Assuming that the wavelength of the center frequency of the signal is λ0, the spacing d1°d2 between the respective elements should be selected to satisfy d1≦λo/2td2>λ./2.

第2図は本発明の揶1の実施例の構成図であって、21
,2□、23は増幅器、3..32.33は帯域フィル
タ、41.4゜は位相差推定器、50,5□は掛算器、
6□、6□はレジスタ、8は加算器、7は可変遅延時間
差発生器、9は加算器、10は2乗算吊器、11は角度
変換器、12は出力端子である。前記アレーの各素子1
、 、12.、13で受信された各信号は5、前記各増
幅器21122123で適正なレベルまで増幅され、各
帯、域フィルタ3□、32.33で必要としない帯域成
分を除去された後、前記位相差推定器4□、4□に入力
されろ。該位相差推定器41では、前記第1の素子の出
力信号に対する前記第2の素子の出力信号の位相差(第
2の索子の位(目差)φ1の推定値φ1(但し八− 1φl <、π)を求め、位4−目差推定器、12では
、前記第1の素子の出力信号に対1−ろ前記第3の素子
の出力信号の位相差(第3の素子の位相差)φ2の推定
値φ2(イけし1φ21$π)を求めろ。該第1の素子
1゜と第2の索子12との配列間隔d1は信号波長の1
/2以下にとられているから、該第1の素子11の出力
へ号に対ずろ紀2の素子]2の出力信号の時間遅延差の
推定器は、前記第2の素子の位A目差の推定値ψ、から
直接−φ1/2πfo(但しf。は信号の中心周波数)
で求められるのに対しで、該第1の素子1□と第3の索
子13との配列間隔d2はイ言号波長の172以上にと
られているから、該第1の素子1□の出力信号に対1〜
る第3の索子13の出力信号の遅延時間差の推定値は、
前記第3の素子の位オ目差の推定値φ2かも直接求める
ことはできない。しかし、前記第2の素子の時間遅延差
の推定値−φ1/2πf、を用いて、該第3の素子の時
間遅延差を (d2/d、 ) (−φ1/2πfo)−−d2φ+
/d12πf。
FIG. 2 is a block diagram of an embodiment of the present invention, 21
, 2□, 23 are amplifiers; 3. .. 32.33 is a bandpass filter, 41.4° is a phase difference estimator, 50.5□ is a multiplier,
6□, 6□ are registers, 8 is an adder, 7 is a variable delay time difference generator, 9 is an adder, 10 is a 2 multiplying device, 11 is an angle converter, and 12 is an output terminal. Each element 1 of the array
, ,12. , 13 is amplified to an appropriate level by each amplifier 21122123, and unnecessary band components are removed by each band filter 3□, 32.33, and then the phase difference estimation is performed. Input into containers 4□ and 4□. The phase difference estimator 41 calculates the phase difference between the output signal of the second element and the output signal of the first element (estimated value φ1 of the position (discrepancy) φ1 of the second strand (8-1φl). <, π), and a 4-order difference estimator 12 calculates the phase difference between the output signal of the first element and the output signal of the third element (phase difference of the third element). ) Find the estimated value φ2 (Ikeshi 1φ21$π) of φ2.The arrangement interval d1 between the first element 1° and the second element 12 is 1 of the signal wavelength.
/2 or less, the estimator for the time delay difference between the output signal of the first element 11 and the output signal of the second element 2 is based on the A-th position of the second element. Directly from the estimated difference ψ, -φ1/2πfo (where f is the center frequency of the signal)
However, since the arrangement interval d2 between the first element 1□ and the third cable 13 is set to 172 or more of the wavelength of the first element 1□, 1 to output signal
The estimated value of the delay time difference of the output signal of the third cable 13 is
The estimated value φ2 of the position difference of the third element cannot also be directly determined. However, using the estimated value of the time delay difference of the second element -φ1/2πf, the time delay difference of the third element is calculated as (d2/d, ) (−φ1/2πfo)−−d2φ+
/d12πf.

のよ5眞推定づ−ることは可能である。前記レジメタロ
、は定数 −d2/d、2πf。
It is possible to make an accurate estimate. The regimetral is a constant -d2/d, 2πf.

を記憶し、該レジスタ61の出力値と前記位相差推定器
41の出力値φ、は前記掛算器5.で掛は合わされ、前
記第3の素子の遅延時間差の疎推定値7□合一 (i 
2 $1/ d22πf。
The output value of the register 61 and the output value φ of the phase difference estimator 41 are stored in the multiplier 5. The parallelisms are combined, and the sparse estimate of the delay time difference of the third element 7□Unit (i
2 $1/d22πf.

が求められろ。一方、前記レジスタ6□は定数−1/2
πf。
is required. On the other hand, the register 6□ is a constant -1/2
πf.

を記憶し、該レジスタ6□の出力と前記位相差推定器4
2の出力値φ2は前記掛算器5□で掛は合わされ、該位
相差?;2(但し1♂21≦π)に対応する時間遅延差 22−L −$2/ 2 πf。
is stored, and the output of the register 6□ and the phase difference estimator 4 are
The output value φ2 of 2 is multiplied together by the multiplier 5□, and the phase difference ? ;2 (however, 1♂21≦π), the time delay difference 22-L −$2/2 πf.

が求められる。前記可変遅延時間差発生器7は、信号中
心周波数の周期T。奥17foの整数倍のnTo; n
=o、±1 、 ・−・−、±[2d2/λ、](但し
[2d2/礼]は2d2/λ。を越えない最大の正の整
数)を出力し、前記加算器8は該可変遅延時間差発生器
7の出力nToと前記掛算器5□の出力μ2との和、す
なわち第2の素子の遅延時間差の予測値τ2(ITI 
4−/12−+−IT T。
is required. The variable delay time difference generator 7 has a period T of the signal center frequency. nTo which is an integer multiple of depth 17fo; n
=o, ±1, ·-・-, ±[2d2/λ,] (where [2d2/re] is the largest positive integer not exceeding 2d2/λ), and the adder 8 outputs the variable The sum of the output nTo of the delay time difference generator 7 and the output μ2 of the multiplier 5□, that is, the predicted value τ2 of the delay time difference of the second element (ITI
4-/12-+-IT T.

を算出して、[¥lJl別記器9は前記加算器8の出力
τ2(n)と前記1,1算器51の出力τ2との差τ2
(l〕)−τ2を算出し、前記2乗算出器1.0は該算
出値の2乗値すなわち予測誤差 e (Ill 、M (τ、、(n)−τ2)2こ が求められる。ifl記可変遅延時間差発生器は、該予
測誤差c(n)を最小とする整数n FC対応1−る遅
延時間差値nToを出力1−る。角度変換器11は、該
時間差値nToに対応1−る遅延時間差の予測値τ2(
官)合方、十惰゛′几 を前記W、1の素子1.の出力信号に対する第:3の素
子の出力信号の遅延時間差の真の推定値として、該推定
値τ2(n)を信号入射角θの推定値θに’? = c
os−’ (c・τ2(釣/d2)の関係式に従って変
換し、該推定値θを前記出力端子12に出力′1−る。
[\lJl Separate indicator 9 is the difference τ2 between the output τ2(n) of the adder 8 and the output τ2 of the 1,1 adder 51.
(l])-τ2 is calculated, and the square calculator 1.0 calculates the square value of the calculated value, that is, the prediction error e (Ill, M (τ, , (n)-τ2)2. The variable delay time difference generator outputs a delay time difference value nTo corresponding to an integer nFC that minimizes the prediction error c(n).The angle converter 11 outputs a delay time difference value nTo corresponding to the time difference value nTo. - predicted value of delay time difference τ2(
Official) Combine the elements 1 and 1 of the above W and 1. As the true estimated value of the delay time difference of the output signal of the third element with respect to the output signal of the third element, the estimated value τ2(n) is converted into the estimated value θ of the signal incidence angle θ'? = c
The estimated value θ is converted according to the relational expression of os-' (c·τ2 (dish/d2)), and the estimated value θ is output to the output terminal 12.

以上説明したようK、本発明の第1の実施例では、配列
間隔が信号の波長の1/2以下である第20累子の遅延
時間差の推定値から、配列間隔が(g号波長の1/2以
上である第3の素子の遅延時間差のおおよその値すなわ
ち疎推定値τ2を求め、該第3の素子の位相差の推定値
φ2と整数値nから求めた2πラジアン周期で離散的に
変化できる該第3の素子の遅延時間差の予測値τ2(I
])との2乗誤差を最小と1−ろような該整数會に対応
する予測値τ2(削−鶴/2πf、十をT。
As explained above, in the first embodiment of the present invention, the array interval is determined from the estimated value of the delay time difference of the 20th multiplier whose array interval is 1/2 or less of the wavelength of the signal. An approximate value of the delay time difference of the third element, that is, a sparse estimated value τ2, which is greater than or equal to The predicted value τ2(I
]) is the minimum squared error and the predicted value τ2 (cutting crane/2πf, 10 is T) corresponding to the integer association such as 1-.

を第1の素子の遅延時間差の真の推定値とするから、信
号入射角の任意値に対してサイト・ローブによる曖昧さ
を避けろことができ、また信号入射角の推定精度は、前
記整数部会の推定に誤差がなげり、ば信号波長の1/2
以上の配列間隔の2つの素子で推定した場合と同等であ
り、従って前記従来の方法て存在した信号入射角の推定
時の視野角、及び精度上の欠点を改善できるという利点
がある。
Since this is the true estimate of the delay time difference of the first element, ambiguity due to site lobes can be avoided for any value of the signal incidence angle, and the estimation accuracy of the signal incidence angle is based on the above integer group. If there is an error in the estimation of , then 1/2 of the signal wavelength
This is equivalent to the case of estimation using two elements arranged at the above arrangement spacing, and therefore has the advantage that the drawbacks in terms of viewing angle and accuracy when estimating the signal incidence angle, which existed in the conventional method, can be improved.

第3図は本発明の第2の実施例のアレーの説明図であっ
て、14はアレーの第4の素子である。本実施例では、
アレーの第1の素子11と第2の素子12はX軸上に間
隔d1で配列され、該アV−の第3の素子13と第4の
素子14は該X軸と平行なX′軸上(・τ間;壕(12
て配夕・′Jさλ′しているものとし、配列間隔値d、
 、 d□は第1の実施例と同様にとると1−ろ。
FIG. 3 is an explanatory diagram of an array according to a second embodiment of the present invention, and 14 is the fourth element of the array. In this example,
The first element 11 and the second element 12 of the array are arranged on the X axis with a spacing d1, and the third element 13 and the fourth element 14 of the array are arranged on the X' axis parallel to the X axis. Upper (・τ interval; moat (12
Assume that the arrangement is ``J and λ'', and the array spacing value d,
, d□ is taken as in the first embodiment and becomes 1-ro.

第4図は本発明の夕!2の実施例の構成図であって、2
.(i第4の増幅器、3.ii第、1の帯域フィルタで
あZ)。本実施例の場合は、前記位1目差推定器41は
第1の失j;’h例と同様に、前記第1の素子11の出
力信号に対′1−ろ第2の素子12の出力信号の位相差
を41f一定1−ろの&U対して、位相差推定器・12
は、前記第:3の素子13の出カイー号(て対′1−ろ
第4の素子1.の1」つ力仏号の位4目差を推定する。
Figure 4 is the evening of the invention! 2 is a configuration diagram of the second embodiment,
.. (i 4th amplifier, 3. ii 1st bandpass filter Z). In the case of this embodiment, the position difference estimator 41 calculates the difference between the output signal of the first element 11 and the output signal of the second element 12, as in the first loss j;'h example. The phase difference of the output signal is determined by the phase difference estimator・12
Estimates the 4th place difference of the output number of the third element 13 (te vs '1 - 4th element 1.1').

前記各々の位A:目差の推定値をφ7.φ2とおけば、
以下第1の実施例と同様の方法Cτよって、吊j記謔−
3の素子の出力仏究((対する第4の素子の出力信号の
遅延時間差の真の推定値τ2(宕)を求めろことかでき
、信号入射角の推定値θが求まるので、記2の実施例で
あっても第lの実施例と同様の効果を得ろことができろ
Each of the above digits A: the estimated value of the difference is φ7. If we set φ2,
Hereinafter, using the same method Cτ as in the first embodiment,
It is possible to find the true estimated value τ2 (宕) of the delay time difference of the output signal of the fourth element, and the estimated value θ of the signal incidence angle. Even in this embodiment, it is possible to obtain the same effect as the first embodiment.

(発明の効果) 本発明は、配列間隔か信号波長の1/2以下の2つの素
子と配列間隔が信号波長の172以上の他の素子を用い
、該各素子の出力信号の位4目差の推定値の組合せから
該信号入射角の推定値を求めているので、サイド・ロー
ブによる曖昧さがなく、かつ信号波長の1/2以上の配
列間隔の素子で推定したのと同等の推定精度が得られろ
という10点かあり、高い信号入射角の推定精度を必要
とするソーナー、音響測定装置あるいはレーダの信号入
射角測定装置に利用することができる。
(Effects of the Invention) The present invention uses two elements whose array spacing is 1/2 or less of the signal wavelength and another element whose array spacing is 172 or more of the signal wavelength, and the output signal of each element has a difference of four orders of magnitude. Since the estimated value of the signal incidence angle is obtained from a combination of estimated values, there is no ambiguity due to side lobes, and the estimation accuracy is equivalent to that estimated using elements with an arrangement spacing of 1/2 or more of the signal wavelength. There are 10 points that should be obtained, and it can be used for sonar, acoustic measurement equipment, or radar signal incidence angle measurement equipment that requires high accuracy in estimating the signal incidence angle.

【図面の簡単な説明】[Brief explanation of drawings]

第1図は本発明の第1の実施例を承り一アレーの説明図
、第2図は本発明の第1の実施例を示1−構成図、第3
図は本発明の第2の実施例を示すアレーの説明図、第4
図は本発明の第2の実施例を示−3−構成図で゛ある。 1、 、12. I3.14;アレー素子2++22+
23+24+増幅器 35,3゜、33+34:帯域フィルタ4、.42;位
相差推定器 5、.5.、;掛算器 6□、6□;レジスタ 7;可変遅延時間差発生器 8 ; 力孟:算器          9 ; 力I
]算器to ; 2来り、出番  1】;角り埃変換器
]2;出力4ニー子 特許出!1願人 沖市気工業株式会社 肋J午出願代1ジ1ソ( 弁理士   山  本  恵  −一
FIG. 1 is an explanatory diagram of an array according to a first embodiment of the present invention, FIG. 2 is an explanatory diagram of an array according to a first embodiment of the present invention, FIG.
The figure is an explanatory diagram of an array showing the second embodiment of the present invention.
The figure is a block diagram showing a second embodiment of the present invention. 1, ,12. I3.14; array element 2++22+
23+24+amplifier 35, 3°, 33+34: bandpass filter 4, . 42; phase difference estimator 5, . 5. ,; Multiplier 6□, 6□; Register 7; Variable delay time difference generator 8; Power Meng: Multiplier 9; Power I
] Calculator to; 2 comes, turn 1]; Square dust converter] 2; Output 4 Neeko patent appears! 1 applicant Okiichi Industrial Co., Ltd. Application fee 1 J1 So (patent attorney Megumi Yamamoto -1)

Claims (2)

【特許請求の範囲】[Claims] (1)空間上(で配列された複数の素子の出力信号間の
位相差から入射信号の入射角を求める信号入射角d11
]定装置L7Lおいて、直線上に配列されろ基辿の第1
の素子と、該第1の素子との間隔が信号の波長の]/2
以下となるよ5に配列された第2の素子と第1の素子と
の間隔が該信号波長の1/2以上となるように配列され
た第3の素子からなるアレーと、前記第1の素子の出力
信号(c対1−る前記第2の素子の出力信号の位相差及
び前記第3の素子の出力信号の位イー目差を推定する位
相差推定器を有し、前記第2の素子の位相差の推定値と
前記第2及び第3の素子の配列間隔から前記第1の素子
の出力信号に対する前記第3の素子の出力信号の遅延時
間差の疎推定値を算出し、前記第3の素子の位相差の時
間変換値と前記信号の中心周波数の周期の整数倍との加
算値を算出して遅延時間差の予測値を求め、前記疎推定
値に対′1−る該予測値の距離である予測誤差を求め、
該予測誤差を最小とするような前記整数値を求めて、該
整数値における前記遅延時間差の予測値を前記第1の素
子の出力信号に対づ−る前記第3の出力信号の遅延時間
差の真の推定値とすることてより、前記信号の入射角を
推定′1″ることを特徴とする信号入射角推定方式。
(1) Signal incident angle d11 to determine the incident angle of the incident signal from the phase difference between the output signals of multiple elements arranged in space
] In the fixed device L7L, the first base trace arranged on a straight line is
The distance between the element and the first element is ]/2 of the wavelength of the signal.
an array consisting of a third element arranged such that the interval between the second element and the first element is 1/2 or more of the signal wavelength; a phase difference estimator for estimating the phase difference of the output signal of the second element and the phase difference of the output signal of the third element; A sparse estimate of the delay time difference between the output signal of the third element and the output signal of the first element is calculated from the estimated value of the phase difference of the elements and the arrangement interval of the second and third elements, and A predicted value of the delay time difference is obtained by calculating the sum of the time-converted value of the phase difference of the elements No. 3 and an integer multiple of the period of the center frequency of the signal, and the predicted value is '1-' relative to the sparse estimated value. Find the prediction error, which is the distance of
The integer value that minimizes the prediction error is determined, and the predicted value of the delay time difference at the integer value is calculated as the delay time difference between the third output signal and the output signal of the first element. A method for estimating an angle of incidence of a signal, characterized in that the angle of incidence of the signal is estimated '1' by using a true estimated value.
(2)空間上に配列された複数の素子の出力信号間の位
相差から入射信号の入射角を求める信号入射角測定装置
において、間隔が信号波長の1/2以下に配列される第
1及び第2の2つの素子からなる第1の配列素子と、第
1の配列素子の配列と平行な直線上に配列され間隔が信
号波長の1/2以上に配列される第3及び第4の2つの
素子からなる第2の配列素子とを有し、第1の配列素子
の2つの出力信号の位相差の推定値(?l)と第2の配
列素子の2つの出力信号の位相差の推定値(φ2)を求
め、各位相差の推定値及び各素子の配列間隔から前記第
1の素子の出力信号に対する前記第3の素子の出力信号
の遅延時間差の疎推定値を算出し、前記第3の素子の位
相差の時間変換値と前記信号の中心周波数の周期の整数
倍との加算値を算出して遅延時間差の予測値を求め、前
記疎推定値に対する該予測値の距離である予測誤差を求
め、該予測誤差を最小と1−るような前記整数値を求め
て、該整数値における前記遅延時間差の予測値を前記第
1の素子の出力信号に対づ−ろ前記第3の出力信号の遅
延時間差の其の推定値とすることにより、前記イ言号の
入射角を推定づ−ることを特徴と一一る信号入射角推定
方式。
(2) In a signal incidence angle measurement device that determines the angle of incidence of an incident signal from the phase difference between the output signals of a plurality of elements arranged in space, first and second A first array element consisting of two second elements, and third and fourth array elements arranged on a straight line parallel to the array of the first array element with an interval of 1/2 or more of the signal wavelength. an estimated value (?l) of the phase difference between the two output signals of the first array element and an estimation of the phase difference between the two output signals of the second array element. value (φ2), and calculate a sparse estimate of the delay time difference between the output signal of the third element and the output signal of the first element from the estimated value of each phase difference and the arrangement interval of each element, and A predicted value of the delay time difference is obtained by calculating the sum of the time-converted value of the phase difference of the element and an integral multiple of the period of the center frequency of the signal, and the prediction error is the distance of the predicted value to the sparse estimated value. is determined, the integer value that minimizes the prediction error is determined, and the predicted value of the delay time difference at the integer value is compared to the output signal of the first element to the third output. 11. A method for estimating an angle of incidence of a signal, characterized in that the angle of incidence of the A word is estimated by using the estimated value of the delay time difference of the signals.
JP57225908A 1982-12-24 1982-12-24 Estimating system of signal incident angle Granted JPS59116562A (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
JP57225908A JPS59116562A (en) 1982-12-24 1982-12-24 Estimating system of signal incident angle

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
JP57225908A JPS59116562A (en) 1982-12-24 1982-12-24 Estimating system of signal incident angle

Publications (2)

Publication Number Publication Date
JPS59116562A true JPS59116562A (en) 1984-07-05
JPH0138270B2 JPH0138270B2 (en) 1989-08-11

Family

ID=16836766

Family Applications (1)

Application Number Title Priority Date Filing Date
JP57225908A Granted JPS59116562A (en) 1982-12-24 1982-12-24 Estimating system of signal incident angle

Country Status (1)

Country Link
JP (1) JPS59116562A (en)

Cited By (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP2007127503A (en) * 2005-11-02 2007-05-24 Nippon Soken Inc Object location detection apparatus
JP2008089312A (en) * 2006-09-29 2008-04-17 Kddi Corp Signal arrival direction estimation apparatus and method, signal separation apparatus and method, and computer program
JP2009210263A (en) * 2008-02-29 2009-09-17 Mitsubishi Electric Corp Angle measuring device
JP2020516906A (en) * 2017-04-20 2020-06-11 レイセオン カンパニー Direction detection with disambiguation
JP2020517932A (en) * 2017-04-20 2020-06-18 レイセオン カンパニー Interferometer arrival time delay

Cited By (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP2007127503A (en) * 2005-11-02 2007-05-24 Nippon Soken Inc Object location detection apparatus
JP2008089312A (en) * 2006-09-29 2008-04-17 Kddi Corp Signal arrival direction estimation apparatus and method, signal separation apparatus and method, and computer program
JP2009210263A (en) * 2008-02-29 2009-09-17 Mitsubishi Electric Corp Angle measuring device
JP2020516906A (en) * 2017-04-20 2020-06-11 レイセオン カンパニー Direction detection with disambiguation
JP2020517932A (en) * 2017-04-20 2020-06-18 レイセオン カンパニー Interferometer arrival time delay

Also Published As

Publication number Publication date
JPH0138270B2 (en) 1989-08-11

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