CN103926563A - Ultra-short basic line five-element receiving array and water sound locating method thereof - Google Patents

Ultra-short basic line five-element receiving array and water sound locating method thereof Download PDF

Info

Publication number
CN103926563A
CN103926563A CN201410150901.9A CN201410150901A CN103926563A CN 103926563 A CN103926563 A CN 103926563A CN 201410150901 A CN201410150901 A CN 201410150901A CN 103926563 A CN103926563 A CN 103926563A
Authority
CN
China
Prior art keywords
primitive
receive
basic matrix
primitives
target
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
CN201410150901.9A
Other languages
Chinese (zh)
Other versions
CN103926563B (en
Inventor
孙大军
郑翠娥
张居成
李昭
张殿伦
勇俊
李想
韩云峰
王永恒
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.)
Harbin Engineering University
Original Assignee
Harbin Engineering University
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 Harbin Engineering University filed Critical Harbin Engineering University
Priority to CN201410150901.9A priority Critical patent/CN103926563B/en
Publication of CN103926563A publication Critical patent/CN103926563A/en
Application granted granted Critical
Publication of CN103926563B publication Critical patent/CN103926563B/en
Active legal-status Critical Current
Anticipated expiration legal-status Critical

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
    • G01S5/00Position-fixing by co-ordinating two or more direction or position line determinations; Position-fixing by co-ordinating two or more distance determinations
    • G01S5/18Position-fixing by co-ordinating two or more direction or position line determinations; Position-fixing by co-ordinating two or more distance determinations using ultrasonic, sonic, or infrasonic waves
    • G01S5/20Position of source determined by a plurality of spaced direction-finders

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)

Abstract

The invention relates to an ultra-short basic line five-element receiving array and a water sound locating method thereof. According to the ultra-short basic line five-element receiving array and the water sound locating method thereof, five receiving elements are arranged on the bottom surface in a barrel-shaped array watertight shell and are evenly distributed with the center of the bottom surface as the circle center in the circumferential direction. By selecting all combinations of any three receiving elements in the array, a target orientation value is obtained through the three elements in each combination, the obtained target orientation values of all the combinations are averaged to obtain an average value serving as an initial orientation value of a measured target, and the initial orientation value meets set calculation accuracy and serves as a final orientation value of the measured target. By means of the ultra-short basic line five-element receiving array, redundant equal-precision measurement base lines are obtained through the minimum number of the elements, target locating is re-inspected and resolved by means of the geometrical relationship among the five redundant equal-precision measurement base lines, so that the problem of phase ambiguity is resolved, effectiveness of redundant data judging is guaranteed, and effectiveness and reliability of target orientation calculation are enhanced.

Description

A kind of ultra-short baseline five primitives receive basic matrix and hydrolocation method thereof
Technical field
The present invention relates to a kind of ultra-short baseline five primitives and receive basic matrix and hydrolocation method thereof.
Background technology
Ultra-short baseline is that a kind of method the simplest, that use most convenient is installed in acoustic positioning technique.Initial ultra short baseline locating system is based on the poor estimation of phase of received signal, for avoiding phase ambiguity, can only adopt aperture to be less than triangle formation or the quaternary right-angled intersection formation of half-wavelength, but that the defect of bringing is positioning precision is not high.Although 8 primitive right-angled intersection basic matrixs can improve precision by bulk redundancy primitive data, its effective equal precision measurement baseline and quaternary right-angled intersection there is no essential distinction, to the fluctuating of target Bearing Estimation, still cannot effectively pass judgment on.
Summary of the invention
The object of the invention is in order to solve current basic matrix to the stability of the measurement of target azimuth and the poor problem of validity, provide a kind of ultra-short baseline five primitives to receive basic matrix, the present invention also aims to provide a kind of hydrolocation method of utilizing this basic matrix.
The object of the present invention is achieved like this:
Ultra-short baseline five primitives receive basic matrix, comprise that 5 receive primitive and drum-shaped basic matrix watertight case, 5 receive primitives and are arranged on the bottom surface in drum-shaped basic matrix watertight case, and described 5 receive primitives and take described bottom center and be along the circumferential direction uniformly distributed as the center of circle; 5 receive 2 reception primitive lines any non-adjacent in primitive and form a measurement baseline.
5 diameters that receive the circumference of primitive formation are 30cm.
5 receive the reception primitive that primitive is the high-precision laser cutting technique of employing excision forming on entity metal, and described 5 reception primitives carry out embedding by insulating resin and are fixed on the bottom surface in drum-shaped basic matrix watertight case.
Ultra-short baseline five primitives receive basic matrix hydrolocation method:
Step 1: choose ultra-short baseline five primitives and receive primitive combination of any 3 reception primitives formation in basic matrix, each in combining according to this primitive receives the time delay estimated value of primitive measurement target, and equation is resolved in establishing target orientation, obtains target side place value;
Step 2: repeating step one, change the reception primitive of choosing, travel through all primitives and combine, the different target side place values that solve in the situation of primitives combination that receive of statistics, and average as the orientation initial value of measured target according to the target side place value of the difference reception primitive combination obtaining;
Step 3: whether the orientation initial value of the measured target that determining step two solves meets computational accuracy, if meet, the final orientation values using described orientation initial value as measured target, if do not meet, re-executes step 1, remeasures.
In step 1, establishing target orientation is resolved equation and is:
R i - R j = L 1 · cos Ω R i - R z = L 2 · cos Ω
Wherein, R i, R jand R zbe respectively 3 distance values that receive primitive and measured target choosing, described distance value is converted to according to time delay estimated value, and i, j and z get respectively any different integer of [1,5]; L 1=[l i, l j] and L 2=[l i, l z] be and receive primitive location parameter vector, l ibe i location parameter that receives primitive, l jj location parameter that receives primitive, l zz location parameter that receives primitive;
Ω=[α, β] tfor the target azimuth result solving, α is measured target and the angle that receives basic matrix x coordinate axis, β is measured target and the angle that receives the y coordinate axis of basic matrix, receive the center of circle of basic matrix as the initial point in xy axle rectangular coordinate system, x coordinate axis is any reception primitive and the straight line that receives the basic matrix center of circle.
Step 3 is specially:
If will solve as the final orientation values of measured target, parameter ξ is reference thresholds, k chooses three numberings that receive the combination of primitive for receiving in basic matrix, and k gets the positive integer in [1,10], and n equals 10, α kbe the measured target and the angle value that receives basic matrix x coordinate axis of k combination, measured target and the mean value that receives the angle of basic matrix x coordinate axis β kbe the measured target and the angle that receives the y coordinate axis of basic matrix of k combination, measured target and reception basic matrix ythe mean value of the angle of coordinate axis β ‾ = Σ k β k / n .
Beneficial effect of the present invention is: ultra-short baseline five primitives provided by the invention receive basic matrix, make minimum primitive obtain redundancy equal precision measurement baseline, utilize 5 geometric relationships between equal precision measurement baseline that target localization is reviewed and resolved when making system solve phase fuzzy problem, ensure again the validity of redundant data judgement, and improved the validity and reliability that target azimuth is calculated.
Accompanying drawing explanation
Fig. 1 is the schematic diagram of structuring the formation that ultra-short baseline five primitives described in embodiment one receive basic matrix.
Fig. 2 is the principle schematic that ultra-short baseline five primitives described in embodiment one receive the basic matrix coordinate system of basic matrix.
Fig. 3 is that ultra-short baseline five primitives described in embodiment four receive the method flow schematic diagram that basic matrix carries out hydrolocation.
Embodiment
Below in conjunction with accompanying drawing, the present invention is described further.
Embodiment mono-: in conjunction with Fig. 1 and Fig. 2, the present embodiment is described, ultra-short baseline five primitives described in the present embodiment receive basic matrixs, and it comprises that 5 receive primitives and drum-shaped basic matrix watertight case; 5 receive primitives and are arranged on the bottom surface in drum-shaped basic matrix watertight case, and described 5 receive primitives and take described bottom center and be along the circumferential direction uniformly distributed as the center of circle; 5 receive 2 reception primitive lines any non-adjacent in primitive and form a measurement baseline.
Ultra-short baseline five primitives receive the basic matrixs signal of structuring the formation: the primitive of reception basic matrix is positioned on the bottom end face of cylindrical basic matrix watertight case, have 5 and receive primitive formation planar array, 5 reception primitives are uniformly distributed on same circumference, and adjacent reception primitive is 72 ° with a battle array line of centres angle.
Embodiment bis-: the present embodiment is that ultra-short baseline five primitives that utilize described in embodiment mono-are received to the further restriction of basic matrix, and the diameter that described ultra-short baseline five primitives receive the circumference of basic matrix shape basic matrix formation is 30cm.
Embodiment tri-: the present embodiment is to the further restriction that utilizes ultra-short baseline five primitives reception basic matrixs described in embodiment mono-,
Described 5 receive the reception primitive that primitive is the high-precision laser cutting technique of employing excision forming on entity metal, and described 5 reception primitives carry out embedding by insulating resin and are fixed on the bottom surface in drum-shaped basic matrix watertight case.
The present embodiment has guaranteed five high precision assemblings that receive primitive.
To 5, receiving primitive is No. 1-5 according to clockwise direction number consecutively, the x change in coordinate axis direction of regulation basic matrix coordinate system is parallel with No. 2, No. 5 reception primitive line directions, but by the basic matrix center of circle, the y change in coordinate axis direction of basic matrix coordinate system is for passing through to receive for No. 1 the straight line in primitive and the basic matrix center of circle.The x coordinate axis of basic matrix, y coordinate axis form orthogonal coordinate system.2 reception primitive lines any non-adjacent in 5 reception primitives form a measurement baseline, and the design co-exists in 5 equal precision measurement baselines, and as shown in dotted line pentagram in accompanying drawing 2, formation redundancy is observed and being adjudicated.With ultra-short baseline five primitives receive 5 of basic matrixs receive primitives corresponding have 5 passages, each passage independently carries out signal waveform processing, detects judgement and calculating parameter time delay estimated value, and described time delay estimated value arrives for target being measured to the echo signal obtaining the propagation delay that respectively receives primitive.
Embodiment tetra-: utilize ultra-short baseline five primitives described in embodiment mono-to receive the method that basic matrixs carry out hydrolocation, it comprises the steps:
Step 1: choose described ultra-short baseline five primitives and receive primitive combination of any 3 reception primitives formation in basic matrix, time delay estimated value when each in combining according to this primitive receives primitive measurement target, equation is resolved in establishing target orientation, solves target side place value;
Step 2: repeating step one, change the reception primitive of choosing, travel through all primitives and combine, the different target side place values that solve in the situation of primitives combination that receive of statistics, and average as the orientation initial value of measured target according to the target side place value of the difference reception primitive combination obtaining;
Step 3: whether the orientation initial value of the measured target that determining step two solves meets the computational accuracy of setting, if meet, the final orientation values using described orientation initial value as measured target, if not, returns to step 1, remeasures.
The present embodiment receives battle array by five primitives, make minimum reception primitive obtain redundancy equal precision measurement baseline, utilize 5 geometric relationships between equal precision measurement baseline that target localization is reviewed and resolved when making system solve phase fuzzy problem, ensured again the validity of redundant data judgement.Effectively improved the validity and reliability that target azimuth is calculated.Solved the problem of traditional triangle formation or quaternary, eight yuan of right-angled intersection battle arrays.
Embodiment five: the present embodiment is that the ultra-short baseline five primitives reception basic matrixs that utilize described in embodiment tetra-are carried out to the further restriction of the method for hydrolocation, and in described step 1, establishing target orientation is resolved equation and is:
R i - R j = L 1 · cos Ω R i - R z = L 2 · cos Ω
Wherein, R i, R jand R zbe respectively 3 distance values that receive primitive and measured target choosing, described distance value is converted to according to time delay estimated value, and i, j and z get respectively any different integer of [1,5];
L 1=[li, l j] and L 2=[l i, l z] being reception primitive location parameter vector, li is i location parameter that receives primitive, l jj location parameter that receives primitive, l zz location parameter that receives primitive;
Ω=[α, β] tfor the target azimuth result solving, α is measured target and the angle that receives basic matrix x coordinate axis, β is measured target and the angle that receives the y coordinate axis of basic matrix, receive the center of circle of basic matrix as the initial point in xy axle rectangular coordinate system, x coordinate axis is any reception primitive and the straight line that receives the basic matrix center of circle.
Be numbered the reception primitive of i and the distance value R of measured target ii* c, τ ifor measured target is to the time delay estimated value of numbering the reception primitive of i, c is acoustic velocity value.Acoustic velocity value can obtain by acoustic velocity measutement equipment such as SVP or CTD.Equation R i - R j = L 1 · cos Ω R i - R z = L 2 · cos Ω For nonlinear equation, while solving, can utilize Solving Nonlinear Equation method iterative computation to obtain unknown numerical value.
Change and choose reception primitive, travel through all primitive combinations, calculate respectively the orientation of target.Basic matrix in present embodiment has 5 and receives primitive, and calculating one group of target azimuth needs three values to receive primitive information, thereby has array mode in 10.In enforcement, need these 10 kinds of array modes to calculate respectively, the different primitives that receive of statistics combine the target azimuth result of calculation of resolving.
Embodiment six: the present embodiment is that the ultra-short baseline five primitives reception basic matrixs that utilize described in embodiment five are carried out to the further restriction of the method for hydrolocation, in step 3, whether the orientation initial value of the measured target that determining step two solves meets the computational accuracy of setting, if meet, the method using described orientation initial value as the final orientation values of measured target is:
If will solve as the final orientation values of measured target, parameter ξ is reference thresholds, k chooses three numberings that receive the combination of primitive for receiving in basic matrix, and k gets the positive integer in [1,10], and n equals 10, α kbe the measured target and the angle value that receives basic matrix x coordinate axis of k combination, measured target and the mean value that receives the angle of basic matrix x coordinate axis β kbe the measured target and the angle that receives the y coordinate axis of basic matrix of k combination, measured target and reception basic matrix ythe mean value of the angle of coordinate axis β ‾ = Σ k β k / n .
If certain combination result of calculation departs from other group results in this enforcement, need after rejecting, this result solve average as the final orientation of target, according to statistics rule result of calculation, surpass 2 times of standard deviation scopes for departing from other group results.

Claims (6)

1. ultra-short baseline five primitives receive basic matrix, comprise that 5 receive primitive and drum-shaped basic matrix watertight case, it is characterized in that: 5 receive primitives and are arranged on the bottom surface in drum-shaped basic matrix watertight case, described 5 receive primitives and take described bottom center and be along the circumferential direction uniformly distributed as the center of circle; 5 receive 2 reception primitive lines any non-adjacent in primitive and form a measurement baseline.
2. a kind of ultra-short baseline five primitives according to claim 1 receive basic matrix, it is characterized in that: described 5 diameters that receive the circumference of primitive formation are 30cm.
3. a kind of ultra-short baseline five primitives according to claim 1 receive basic matrix, it is characterized in that: described 5 receive the reception primitive that primitive is the high-precision laser cutting technique of employing excision forming on entity metal, described 5 reception primitives carry out embedding by insulating resin and are fixed on the bottom surface in drum-shaped basic matrix watertight case.
4. ultra-short baseline five primitives receive a basic matrix hydrolocation method, it is characterized in that:
Step 1: choose ultra-short baseline five primitives and receive primitive combination of any 3 reception primitives formation in basic matrix, each in combining according to this primitive receives the time delay estimated value of primitive measurement target, and equation is resolved in establishing target orientation, obtains target side place value;
Step 2: repeating step one, change the reception primitive of choosing, travel through all primitives and combine, the different target side place values that solve in the situation of primitives combination that receive of statistics, and average as the orientation initial value of measured target according to the target side place value of the difference reception primitive combination obtaining;
Step 3: whether the orientation initial value of the measured target that determining step two solves meets computational accuracy, if meet, the final orientation values using described orientation initial value as measured target, if do not meet, re-executes step 1, remeasures.
5. a kind of ultra-short baseline five primitives according to claim 4 receive basic matrix hydrolocation method, it is characterized in that: in described step 1, establishing target orientation is resolved equation and is:
R i - R j = L 1 · cos Ω R i - R z = L 2 · cos Ω
Wherein, R i, R jand R zbe respectively 3 distance values that receive primitive and measured target choosing, described distance value is converted to according to time delay estimated value, and i, j and z get respectively any different integer of [1,5]; L 1=[l i, l j] and L 2=[l i, l z] be and receive primitive location parameter vector, l ibe i location parameter that receives primitive, l jj location parameter that receives primitive, l zz location parameter that receives primitive;
Ω=[α, β] tfor the target azimuth result solving, α is measured target and the angle that receives basic matrix x coordinate axis, β is measured target and the angle that receives the y coordinate axis of basic matrix, receive the center of circle of basic matrix as the initial point in xy axle rectangular coordinate system, x coordinate axis is any reception primitive and the straight line that receives the basic matrix center of circle.
6. ultra-short baseline five primitives according to claim 5 receive the method that basic matrix carries out hydrolocation, it is characterized in that: described step 3 is specially:
If will solve as the final orientation values of measured target, parameter ξ is reference thresholds, k chooses three numberings that receive the combination of primitive for receiving in basic matrix, and k gets the positive integer in [1,10], and n equals 10, α kbe the measured target and the angle value that receives basic matrix x coordinate axis of k combination, measured target and the mean value that receives the angle of basic matrix x coordinate axis β kbe the measured target and the angle that receives the y coordinate axis of basic matrix of k combination, measured target and reception basic matrix ythe mean value of the angle of coordinate axis β ‾ = Σ k β k / n .
CN201410150901.9A 2014-04-15 2014-04-15 Ultra-short basic line five-element receiving array and water sound locating method thereof Active CN103926563B (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN201410150901.9A CN103926563B (en) 2014-04-15 2014-04-15 Ultra-short basic line five-element receiving array and water sound locating method thereof

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN201410150901.9A CN103926563B (en) 2014-04-15 2014-04-15 Ultra-short basic line five-element receiving array and water sound locating method thereof

Publications (2)

Publication Number Publication Date
CN103926563A true CN103926563A (en) 2014-07-16
CN103926563B CN103926563B (en) 2017-01-18

Family

ID=51144852

Family Applications (1)

Application Number Title Priority Date Filing Date
CN201410150901.9A Active CN103926563B (en) 2014-04-15 2014-04-15 Ultra-short basic line five-element receiving array and water sound locating method thereof

Country Status (1)

Country Link
CN (1) CN103926563B (en)

Cited By (9)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN105182347A (en) * 2015-08-05 2015-12-23 中国人民解放军91388部队 Small-aperture-array-based high-precision underwater target passive positioning method
CN106199519A (en) * 2016-07-26 2016-12-07 山东省科学院海洋仪器仪表研究所 A kind of ultra-short baseline five primitive solid space basic matrix and hydrolocation method thereof
CN106546957A (en) * 2016-10-25 2017-03-29 中国海洋石油总公司 A kind of ultra-short baseline localization method for the polynary battle array of arbitrary plane
CN107390176A (en) * 2017-06-15 2017-11-24 重庆锐纳达自动化技术有限公司 A kind of auditory localization guider
CN108957464A (en) * 2018-05-07 2018-12-07 上海海洋大学 Four dot matrix fish finding sonars
CN109141380A (en) * 2018-09-19 2019-01-04 天津大学 A kind of hydrographic data processing method based on CTD instrument
CN109164435A (en) * 2018-10-19 2019-01-08 海鹰企业集团有限责任公司 A kind of small size reception acoustic array
CN110261824A (en) * 2019-07-15 2019-09-20 交通运输部天津水运工程科学研究所 A kind of ultra-short baseline calibration system and scaling method based on multi-beacon
CN110954867A (en) * 2020-02-26 2020-04-03 星络智能科技有限公司 Sound source positioning method, intelligent sound box and storage medium

Non-Patent Citations (4)

* Cited by examiner, † Cited by third party
Title
张群良等: "基于双圆锥阵的水下目标被动定位方法", 《探测与控制学报》, vol. 32, no. 2, 30 April 2010 (2010-04-30), pages 26 - 29 *
蔡平等: "采用自适应相位计的超短基线水声跟踪系统", 《应用声学》, vol. 12, no. 2, 31 December 1992 (1992-12-31) *
钱进等: "圆周阵被动定位和跟踪方法的研究", 《东南大学学报》, 31 July 1995 (1995-07-31), pages 6 - 10 *
陈凯等: "水下目标定位标校系统研究", 《声学技术》, vol. 30, no. 5, 31 October 2011 (2011-10-31), pages 403 - 406 *

Cited By (13)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN105182347B (en) * 2015-08-05 2017-06-20 中国人民解放军91388部队 A kind of High Precision Underwater target Passive Location based on small-bore basic matrix
CN105182347A (en) * 2015-08-05 2015-12-23 中国人民解放军91388部队 Small-aperture-array-based high-precision underwater target passive positioning method
CN106199519A (en) * 2016-07-26 2016-12-07 山东省科学院海洋仪器仪表研究所 A kind of ultra-short baseline five primitive solid space basic matrix and hydrolocation method thereof
CN106546957A (en) * 2016-10-25 2017-03-29 中国海洋石油总公司 A kind of ultra-short baseline localization method for the polynary battle array of arbitrary plane
CN107390176A (en) * 2017-06-15 2017-11-24 重庆锐纳达自动化技术有限公司 A kind of auditory localization guider
CN108957464B (en) * 2018-05-07 2022-04-08 上海海洋大学 Four-lattice fish finding sonar
CN108957464A (en) * 2018-05-07 2018-12-07 上海海洋大学 Four dot matrix fish finding sonars
CN109141380A (en) * 2018-09-19 2019-01-04 天津大学 A kind of hydrographic data processing method based on CTD instrument
CN109164435A (en) * 2018-10-19 2019-01-08 海鹰企业集团有限责任公司 A kind of small size reception acoustic array
CN110261824A (en) * 2019-07-15 2019-09-20 交通运输部天津水运工程科学研究所 A kind of ultra-short baseline calibration system and scaling method based on multi-beacon
CN110261824B (en) * 2019-07-15 2024-03-19 交通运输部天津水运工程科学研究所 Ultrashort baseline calibration system and calibration method based on multiple beacons
CN110954867A (en) * 2020-02-26 2020-04-03 星络智能科技有限公司 Sound source positioning method, intelligent sound box and storage medium
CN110954867B (en) * 2020-02-26 2020-06-19 星络智能科技有限公司 Sound source positioning method, intelligent sound box and storage medium

Also Published As

Publication number Publication date
CN103926563B (en) 2017-01-18

Similar Documents

Publication Publication Date Title
CN103926563A (en) Ultra-short basic line five-element receiving array and water sound locating method thereof
US8723730B2 (en) System and method for direction finding and geolocation of emitters based on line-of-bearing intersections
US9759802B2 (en) System and method for determining geo location of a target using a cone coordinate system
CN107664758B (en) Deep sea navigation positioning system and method based on long baseline or ultra-short baseline networking
CN104237849A (en) Bi-pentabasic cross-array passive acoustic location integrating method
CN109814110B (en) Array arrangement method for deep-sea long-baseline positioning array topology structure
CN104931919A (en) Direction finding method for two dimensional plane annular array
CN103826298A (en) Wireless sensor network positioning and computing method for collaborative iterative optimization
CN109738902B (en) High-precision autonomous acoustic navigation method for underwater high-speed target based on synchronous beacon mode
CN105182347A (en) Small-aperture-array-based high-precision underwater target passive positioning method
CN104793177A (en) Microphone array direction finding method based on least square methods
CN103293526A (en) Synthetic steering vector based beam forming meter-wave radar height measurement method
Daramouskas et al. A survey of methods for location estimation on Low Power Wide Area Networks
CN104407318A (en) Precise orientating method for ultra-short baseline of 48-element uniform cylindrical array
CN107505598A (en) A kind of high burst localization method based on three basic matrixs
CN102607560A (en) Two-station direction-finding cross positioning tracing algorithm on earth surface based on rhumb lines
CN106535124A (en) TOA-based wireless network positioning method in NLOS environment
CN109490868B (en) Offshore target motion analysis method based on distributed vertical line array
CN106556837A (en) A kind of ultra-short baseline localization method for quaternary space battle array
CN102736057B (en) Two-dimensional angle calculating method based on distance and tracking regeneration carrier phase
CN102170317B (en) Method for analyzing spatial randomness of group path adjacent to receiving point
CN107272024B (en) A kind of base station distribution method of aircraft under high dynamic environment
RU2787952C1 (en) Method for determining radio signal arrival direction
Jian et al. Algorithm for passive localization with single observer based on ambiguous phase differences measured by rotating interferometer
CN113625225B (en) Near-field three-dimensional space positioning method based on multiple uniform linear arrays

Legal Events

Date Code Title Description
C06 Publication
PB01 Publication
C10 Entry into substantive examination
SE01 Entry into force of request for substantive examination
C14 Grant of patent or utility model
GR01 Patent grant