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858 results about "Gps positioning system" patented technology

Satellite position measurement system

A GPS positioning system that has: at least one mobile station to measure a positional coordinate by receiving radio wave from a satellite; a plurality of fixed stations that have predetermined positional coordinates and receive radio wave from the satellite; and arithmetic processing means, which is connected with at least one mobile station and a plurality of fixed stations via communication, and that transmits correction data suitable for the mobile station to the mobile station based on positioning data transmitted from the mobile station.
Owner:KK TOPCON

Intelligent traffic system

The invention discloses an intelligent traffic system, which reduces traffic jam, environmental pollution, accident rate and the load of drivers and achieves the aims of ensuring security, improving efficiency and environment and saving energy resources. The technical scheme is that the invention adopts the intelligent traffic system which is formed by a road system composed of a lead-in lane and a totally-closed lane, a GPS positioning system, a 3G or 4G communication system, a control system and automatic travel vehicles. After using the intelligent traffic system, the driver can give up autonomic driving and uses automatic driving controlled by the system to reach the destination. The intelligent traffic system uses advanced information technology, data communication transmission technology, global positioning technology, geographic information system technology, electric control technology and computer processing technology, is a novel transportation system integrating informatization, intelligent and socialization and makes traffic infrastructure exert the largest efficacy.
Owner:马正方 +1

Underwater object precision positioning system and method

The invention discloses an underwater object precision positioning system and a method. The system comprises a mother ship, a computer with a plurality of serial ports, a desk computer, an ultra short base line positioning system, a differential GPS (global positioning system), a compass, an ROV (remote-operated vehicle) system, a forward-looking sonar camera, a low-illuminance black and white video camera, an attitude indicator and a temperature-salinity depth profiling instrument. A shore-based transceiver, an ROV water surface system unit and the like of the ultra-short base line positioning system are carried by the mother ship, and underwater system units such as a transponder of the ultra-short base line positioning system, the forward-looking sonar camera and the like are carried by an ROV submersible vehicle, so that the underwater object precision positioning system is formed. By the aid of acoustic positioning between the shore-based transceiver and the transponder of the ultra-short base line positioning system and acoustic positioning of forward-looking sonar, the shortcoming that an existing underwater GPS positioning system only can position an object carried with anacoustic response device in a water area is overcome, and longitude and latitude coordinates of an optional unknown object in an optional water area can be positioned in a WGS (world geodetic system)84 ellipsoidal coordinate system in real time.
Owner:DALIAN MARITIME UNIVERSITY

Method and apparatus for multi-mode tracking and display of personnel locations in a graphical model

The preferred embodiment provides an ultra-wide band radio frequency real-time location system (RTLS), synchronized with a GPS location system to provide reliable location data, in and around concrete and steel superstructures to a BIM graphic model system, to gather and display worker location data and coordinate its display for use. The RTLS system continuously locates each participant through the use of an active RFID tag and / or GPS location device, which may be placed in a personnel badge and verified. The location system logs the participant locations in a database for real-time information retrieval and upload into a BIM display system.
Owner:SPECIALTY ELECTRICAL

Positioning method and device

A positioning method and device. The method comprises: recognizing a positioning identifier in an image which is acquired in real time (100); according to a recognition result of the positioning identifier, determining a position of a mobile terminal relative to the positioning identifier (110); acquiring a geographical position of the positioning identifier (120); and according to the geographical position of the positioning identifier and the position of the mobile terminal relative to the positioning identifier, determining a current geographical position of the mobile terminal (130). When a GPS positioning system cannot be used, the mobile terminal can be positioned using the method. Since the positioning identifier is pre-set, an accurate position of the positioning identifier can be acquired, while an error of the position of the mobile terminal relative to the positioning identifier, which is obtained through calculation, is far less than a navigation deviation of the GPS positioning system. Therefore, the accuracy of the geographical position of the mobile terminal determined via the method is far higher than the accuracy of positioning by the GPS positioning system.
Owner:CHINA ACAD OF TELECOMM TECH +1

Distributed spacecraft ground artificial system and implementing method thereof

The invention discloses a distributed spacecraft ground simulation system and a method for realizing same, belonging to the technical field of space flight and aviation. The invention aims at solving the problems that the configuration of the simulation platform of a prior distributed spacecraft is solidified and the expandability is bad. The invention adopts a one-dimensional rotational base air floated platform which is based on a plane two-dimensional parallel motion and is perpendicular to a parallel motion plane. By configuring a cooling air thrustor and a counteractive flywheel as an executing mechanism and configuring a high-precision optical fibre gyro, an x-axle accelerometer and a Y-axle accelerometer as a sensing component, the definition of a high-precision relative position and the standardization of an initiate posture can be realized by a high-precision local GPS positioning system, and other hardware systems can be configured according to different tasks, thereby forming a multi-spacecraft ground simulation system. The invention can realize the ground simulation multi-spacecraft system by configuring different practical hardwares or simulators according to the task of the spacecraft, thereby having strong expansion capability and applicability.
Owner:HARBIN INST OF TECH

Big data acquisition and processing system and electric vehicle endurance estimation method based on same

The invention provides a big data acquisition and processing system and an electric vehicle endurance estimation method based on the same; the system includes a vehicle-mounted sensor, a GPS positioning system, a road information perception system, a cloud data receiving system, a data transmission processing system and an online computing system. Real-time road, traffic, weather and other information are obtained from a cloud server, and then a future driving state of an electric vehicle is forecasted based on the data. According to the vehicle real-time data under an actual driving state, a vehicle dynamic model and a battery model obtained from calculation are more accurate than a traditional vehicle dynamic model obtained based on a physical equation in an electric vehicle driving process. The estimation method can improve the estimation accuracy of the remaining endurance mileage of the networking pure electric vehicle to a great extent. In addition, according to the real-time data obtained from the cloud, a vehicle use strategy is better planned, and the control strategy of the electric vehicle is optimized, so as to improve the service life of the electric vehicle.
Owner:FUZHOU UNIV

Base station patrol checking administrative system

The invention provides a base station inspection management system including an inspection terminal carried by an inspector when in operation and a background management center. The inspection terminal is connected with the background management center by a wireless network. The inspection terminal is also connected with a GPS positioning system to confirm the geographic information during the inspection. The inspection terminal is provided with an inspection program. The inspection program directly makes or downloads an electronic form module template from the background management center and transmits the electronic form recording all the inspected device situations to the background management center. The invention provides an effective platform for copping with various faults of the network and each multifarious base station maintenance work and improving the working efficiency of the base station inspection, thus greatly improving the working efficiency of the inspectors and management personnel, fully realizing electric inspection and adapting to the requirements for information-based management.
Owner:GOSUNCN TECH GRP

GIS (geographic information system)-GPS (global position system) navigation method of inspection robot

The invention relates to a navigation method, in particular to a GIS (geographic information system)-GPS (global position system) navigation method of an inspection robot. In order to realize autonomous navigation on an overall line, the invention introduces an advanced GIS-GPS technology. A high-voltage power transmission line information system is built based on GIS technology, the specific position of a robot and the distances from the robot to a front tower, a rear tower and a barrier can be monitored in real time by virtue of a GPS positioning system, so as to determine the inspection plan of the robot; furthermore, a visible light picking-up and infrared imaging system can be guided to carry out inspection according to autonomous inspection overall structure environmental information of the towers and lines, stored in a GIS line information system.
Owner:WUHAN UNIV +1

GPS positioning system

A GPS positioning system comprises a fixed station and a mobile station. The mobile station has: positional positioning means; imaging means; direction detecting means; and arithmetic processing means. The positional positioning means measures positional coordinates by receiving radio wave from a satellite. The imaging means is arranged in a predetermined position for the GPS positional positioning means. The direction detecting means detects a photographing direction during photographing by the imaging means. The arithmetic processing means forms landscape data in which imaging data that is an output from the imaging means is associated with orientation data that is an output from the direction detecting means.
Owner:KK TOPCON

Imaging method for aerial camera, and system thereof

The invention discloses an imaging method for an aerial camera, and a system thereof. The imaging method comprises the steps of performing distortion correction on the image which is photographed by the aerial camera for obtaining a sequence image after correction; determining splicing sequence on a corrected sequence image according to the photographing sequence or the photographing time of the image, utilizing a homography matrix between adjacent images for obtaining a synthetic image; detecting the pixel coordinate of a stationary object and / or moving object from an image which is photographed by the aerial camera, and performing distortion correction for obtaining a plurality of target pixel coordinates; performing data fusion on each target pixel coordinate, positioning data which are output from a GPS positioning system, and aircraft attitude data which are output of a flight attitude measuring system, thereby obtaining the geographical coordinate of each target; and superposing the geographical coordinate of each target with the synthetic image for obtaining an electronic map which is geographically positioned by multiple targets.
Owner:CHANGCHUN INST OF OPTICS FINE MECHANICS & PHYSICS CHINESE ACAD OF SCI

System and method for actively identifying and communicating with vehicles

The invention discloses a system and a method for actively identifying and communicating with vehicles, wherein a vehicle-mounted intelligent terminal transmits information to a remote server and receives information transmitted by the remote server, and transmits a unique device identifier as the identifier of the vehicle-mounted intelligent terminal together with vehicle information of the vehicle to the remote server in a wireless mode, so as to realize the binding of the vehicle-mounted intelligent terminal and the vehicle; a GPS (global positioning system) positioning system on the vehicle obtains the GPS positioning information in real time, and uploads the positioning information together with the unique device identifier to the remote server; after the server receives unique device identifiers, the vehicle information and the position information uploaded by all vehicle-mounted intelligent terminals, the data are stored into a databank in a mode that each unique device identifier is used as an item; and the remote server receives and processes the information transmitted by the vehicle-mounted intelligent terminal, and transmits the processing result to a corresponding vehicle-mounted intelligent terminal. With the adoption of the system and the method, identification of vehicles at near distance and point-to-point information communication between vehicles are realized.
Owner:上海永畅信息科技有限公司

Detecting system for road cracks

The invention discloses a detecting system for road cracks. The system comprises an information collecting system, a data storing and displaying system, a power management system, a data processing system and a GPS positioning system. Road damage information is collected by video records of the information collecting system; damages are positioned by combination of the GPS data and road milepost numbers obtained by the GPS positioning system; and damage conditions are identified by applications of a digital picture processing technique of the data storing and displaying system; so that objective and stable results are obtained, and the damages can be positioned and measured quickly and accurately. Requirements for road crack detecting are met, wherein the requirements comprise that: real-time monitoring for relevant information, storing and playback of data, real-time correlating of the GPS information with the road milepost numbers, and information measuring of crack conditions. The vehicle-mounted detecting system is designed, and is used to meet application requirements for road crack detecting.
Owner:湖州南浔凤凰文化旅游发展集团有限公司

Old person health supervision vest with wearable sensors

InactiveCN103330551AReal-time monitoring of heart rateEffective monitoring of physiological dataSensorsBlood characterising devicesHuman bodyLife quality
The invention discloses an old person health supervision vest with wearable sensors, which can be worn on a user. All modules are packaged inside the vest; under the control of an embedded controller, the vest can monitor blood pressure, heart rate and body temperature data of the user and can detect blood sugar in blood with the cooperation of the user, performs communication by using the Bluetooth technology and a mobile communication terminal, can realize functions of storage, analysis, prewarning and communication with the outside through the additional arrangement of a GPS (Global Positioning System) and a motion state determination module, and can monitor and perform prewarning of the motion state of the user; in the monitoring process, the embedded controller can be set by the mobile communication terminal through the Bluetooth technology. The old person health supervision vest can be used in most old person requiring special care nowadays, can effectively monitor physiological data of the user, improves the life quality of the user, prevents risks, is designed to be worn comfortably on a human body, and is easy to wear and strong in suitability.
Owner:ZHEJIANG UNIV

Locomotive pantograph-catenary hard point photoelectric vibration comprehensive detection and GPS positioning method and system

The invention provides a locomotive pantograph-catenary hard point photoelectric vibration comprehensive detection and GPS positioning method. The method includes steps: conversion from arc light to electric signals, analysis and processing of the electric signals, analysis of vibration signals, obtaining of a hard point value via calculation, and GPS accurate positioning. A locomotive pantograph-catenary hard point photoelectric vibration comprehensive detection and GPS positioning system mainly comprises a photoelectric sensor, an acceleration sensor, a signal conditioning device, an isolation transformer, an acquisition card, a control computer, a display, a memory, and a GPS positioner. According to the method and the system, acceleration detection of the hard point and photoelectric detection of the hard point are effectively combined, more accurate discrimination of the hard point can be made via double discrimination, accurate positioning of the hard point of a contact system is realized by employing an advanced GPS positioning module, the search and maintenance of faults are simple, and failure to adapt to the development requirement of high-speed rails and false and missed judgments can be avoided.
Owner:EAST CHINA JIAOTONG UNIVERSITY +1

Automatic voice stop reporting method for bus and stop reporting device thereof

ActiveCN101419751AAccurate station announcementNo missing stations, false reports, etc.Road vehicles traffic controlAudible advertisingGps positioning systemLongitude
The invention discloses a bus automatic voice station reporting method which comprises the steps as follows: 1) the longitudes, the latitudes, the standard pull in / out directions, the direction angle judgement thresholds alpha and the distance judgement thresholds L of all bus stations are stored in advance; 2) the current longitude, the latitude and the actual pull in / out direction angle of the bus are obtained by a GPS positioning system; 3) the current longitude, the latitude and the actual pull in / out direction angle of the bus are compared with the longitude, the latitude and the standard pull in / out direction angle of the bus which are stored in advance; and 4) voice station reporting is carried out according to a matching result. The invention has the beneficial effects of realizing the bus automatic voice station reporting, ensuring exact station reporting and no missing or reporting by mistake and the like.
Owner:重庆安运科技股份有限公司

Precision variable fertilizing machine

The present invention utilizes tractor and mounted fertilizer applicator, and utilizes the GPS positioning system and computer which are fixed on the tractor and used as mechanical control system to provide the information about amount of chemical fertilizer to be applied in defined position and utilizes the regulation of rotating speed of fertilizer-discharging wheel so as to attain the goal of regulating fertilizer-applied amount. Said invention can raise utilization rate of fertilizer by 40-50%, and can raise yield by 30%.
Owner:BEIJING RES CENT FOR INFORMATION TECH & AGRI

Process for accurate location determination in GPS positioning system

A process is provided for accurate location determination in assisted satellite-based positioning systems in which a base station (server) transmits assisting information to the user's receiver (rover). Signals from at least 5 satellites are used for 3-dimensional positioning. Pseudorange measurements are made in a system of equations having a minimum set of unknowns X,Y,Z, and T. (X,Y,Z) is the 3D rover position in a predefined coordinate system, and T is the time at which simultaneous measurements are made to determine pseudoranges to all satellites. The position of each satellite is a vector-valued function fk (T) of said time T, where fk is determined from satellite ephemeris data or its equivalent, sent to the rover over a communication link, as well as from knowledge of the approximate position of the rover.
Owner:MAGELLAN SYST JAPAN

System and method for remotely monitoring automobile tail gas

The invention relates to a system and a method for remotely monitoring automobile tail gas. The system comprises a monitoring main machine, an automobile owner mobile phone, a tail gas detection vehicle-mounted terminal and a global position system (GPS), wherein the tail gas detection vehicle-mounted terminal and the GPS are installed on an automobile. The tail gas detection vehicle-mounted terminal comprises a tail gas sampling mechanism, a tail gas sensing mechanism and tail gas analyzing mechanisms, wherein a gas inlet of the tail gas sampling mechanism is connected with an exhaust pipe, a gas outlet of the tail gas sampling mechanism is connected with an automobile silencer, the tail gas sensing mechanism and the GPS are electrically connected with each tail gas analyzing mechanism, the tail gas analyzing mechanisms are connected with the monitoring machine through a wireless network, and the monitoring main machine is connected with the automobile owner mobile phone through the wireless network. The tail gas detection vehicle-mounted terminal sends tail gas detection data and automobile position data to the far-end monitoring main machine which screens out the automobile exceeding emission level of tail gas and frequently running in urban areas and sends warning and rectification information to the automobile owner mobile phone of the automobile exceeding emission level of tail gas. By means of the system and the method for remotely monitoring the automobile tail gas, real-time monitoring and warning on the automobile tail gas are performed, control to automobile tail gas emission is strengthened, and air quality is ensured to be improved.
Owner:ZHEJIANG MEASUREMENT SCI RES INST

Aerial magnetic force detection device and aerial magnetic force detection method based on unmanned aerial vehicle

The invention relates to an aerial magnetic force detection device and an aerial magnetic force detection method based on an unmanned aerial vehicle. The aerial magnetic force detection device comprises an aerial magnetometer system, an unmanned aerial vehicle flying platform, an onboard data collection system and an onboard GPS (global positioning system). The aerial magnetometer system comprises a total-field magnetometer and a three-component magnetometer, wherein the total-field magnetometer is used for measuring earth magnetic fields and the three-component magnetometer is used for measuring attitudes of the unmanned aerial vehicle. The onboard data collection system comprises a master control module, a total-field magnetometer collection module, a three-component magnetometer collection module, a GPS module, an A / D (analog to digital) collection card, a state display module and a storage module. The aerial magnetic force detection device and the aerial magnetic force detection method have the advantages that large manned aerial vehicles are not needed, aeromagnetic survey cost is reduced, the device and the method are applicable to magnetic force detection of the borderland, where vehicles and ships cannot reach, between land and shallow sea, and low cost, high safety and the like are achieved.
Owner:NAT DEEP SEA CENT +1

Alarm system and method triggered by specific voice

An alarming system triggered by a specific voice consists of storage unit of alarm content, sound input unit, GPS positioning unit, alarming unit, voice identification unit and communication unit. The method utilizing said system to make alarm is also disclosed.
Owner:INST OF SEMICONDUCTORS - CHINESE ACAD OF SCI

Energy switching control method and energy switching control system for hybrid electric vehicle in multiple operating modes

Disclosed are an energy switching control method and an energy switching control system for a hybrid electric vehicle in multiple operating modes. The energy switching control method includes the steps: firstly, according to vehicle running environments and road conditions detected in real time by a vehicular GPS (global positioning system) and a sensor, and according to current running road condition information of the hybrid electric vehicle, determining the corresponding operating modes of the vehicle, wherein the operating modes specifically include an engine-driven operating mode, a motor-driven operating mode, an engine and motor hybrid driven operating mode and an energy feedback and regenerative brake operating mode; and then designing a multi-mode switching control rule for the driving modes in terms of the running road conditions, and designing corresponding controllers for the operating modes respectively. According to the running environments and the road conditions, the energy switching control method and the energy switching control system control the optimal vehicle driving modes so as to reduce emission of vehicle exhaust, save fuel oil consumption, accelerate development of environment-friendly vehicles and green vehicles and improve endurance of the hybrid electric vehicle.
Owner:HENAN UNIV OF SCI & TECH

Method for measuring flow rate and flow direction of single-well underground water and leaking point of reservoir, and measuring device thereof

A method for measuring the flow rate and the flow direction of single-well underground water and a leaking point of a reservoir, and a measuring device thereof are disclosed, wherein the measuring device is mainly composed of hydrophones, a magnetic heading sensor, a pressure sensor, a GPS (Global Positioning System) positioner, a signal processing circuit and a computer; the hydrophones, the magnetic heading sensor, the pressure sensor, the GPS positioning system and the signal processing circuit are mounted in a cylindrical detection head; the hydrophones include a circle of hydrophones mounted at the lower end of the cylindrical detection head and one hydrophone mounted at the upper end of the cylindrical detection head; the signal output ends of the hydrophones, the magnetic heading sensor, the pressure sensor and the GPS positioner are simultaneously connected to the input end of the signal processing circuit; and the output end of the signal processing circuit is connected to the computer. The method provided in the invention is simple, free of pollution and wide in application.
Owner:NANJING DIBA ENG TECH

Autonomous navigation type surface water quality sampling and real-time monitoring water level robot

InactiveCN104569333AReal-time detectionAvailable range is farTesting waterPeristaltic pumpPinch valve
The invention discloses an autonomous navigation type surface water quality sampling and real-time monitoring water level robot. The autonomous navigation type surface water quality sampling and real-time monitoring water level robot comprises a ship body, a power system, a master control system, a navigation system, a communication system, a sampling monitoring system and a propelling system, wherein the power system, the master control system, the navigation system, the communication system, the sampling monitoring system and the propelling system are arranged on the ship body; the navigation system comprises an electronic compass, a GPS (global positioning system), an ultrasonic obstacle-avoiding sensor and a camera, and the navigation system is connected with the master control system; and the sampling monitoring system comprises a water sampling swing rod which is arranged on a steering engine, the water sampling swing rod controls the water sampling depth and is connected with one end of a water sampling pipeline, the other end of the water sampling pipeline is shunted into all sampling bottles from a peristaltic pump to a pinch valve, all sampling bottles are arranged in a heat preservation box, a water quality sensor connected with the master control system is arranged on the water sampling swing rod, and the propulsion mode of the propelling system adopts an externally-mounted double-direct-current motor and a screw propeller. The autonomous navigation type surface water quality sampling and real-time monitoring water level robot has small volume and light weight, can be carried conveniently, can be operated simply, is free of pollution, and can realize sampling monitoring to an area where a person cannot reach.
Owner:安徽科微智能科技有限公司

Wireless management system for oil and gas transportation metering and leakage alarming

InactiveCN101749542ANo Flow Obstruction DetectionNo pressure lossPipeline systemsMicrocontrollerUltrasonic sensor
The invention discloses a wireless management system for oil and gas transportation metering and leakage alarming, which includes an ultrasonic transducer, an ultrasonic transmitting and receiving module, a singlechip, a memorizer, a LCD, a keyboard control module, a sound and light alarming module, a communication module and a GPS + GPRS system based on microcontroller. The ultrasonic transducer is used to convert electric energy into ultrasonic energy, and transmit the ultrasonic energy into a detected fluid; an ultrasonic signal received by a receiver, measured instant flux and accumulated flux value after receiving the data processing of a microcontroller are converted into digital signals representing flux; one signal is supplied to the LCD to display data and the other signal transmits data through the command center of the GPS + GPRS system. If leakage occurs, the singlechip of the detecting unit thereof transmits an alarming signal to the command center through data comparison, and the command center confirms the accident position through a GPS positioning system immediately, and the staff nearby are informed to process through the SMS platform and voice system of the GPRS system.
Owner:谭汉卿

Online navigation equipment monitoring and flight verification system and method based on unmanned plane

ActiveCN107272028AReliable resultsReduce waiting time for manned flight checksSatellite radio beaconingGps positioning systemComputer module
The invention relates to an online navigation equipment monitoring and flight verification system and method based on an unmanned plane. The system comprises a GPS antenna, a GPS positioning system module, an online navigation equipment monitoring and flight verification system module, a sensor module, an airborne computer module and an actuating mechanism module, wherein the online navigation equipment monitoring and flight verification system module comprises a test antenna, a central controller, a signal acquisition processing module, a signal monitoring analysis module and a flight verification module, the modules are embarked on the unmanned plane, the unmanned plane is made to realize flight according to a prescribed flight path to acquire navigation equipment signals, and corresponding monitoring analysis and verification are carried out. The system is advantaged in that through combination with the unmanned plane flight technology, measurement signals of the navigation equipment are made to be objective, comprehensive and effective, the analysis result is more reliable, higher precision is realized, and influence of equipment tests and flight verification on airport operation can be reduced.
Owner:THE SECOND RES INST OF CIVIL AVIATION ADMINISTRATION OF CHINA

System and method for automatically controlling vehicle based on GPS and RFID

InactiveCN105005302AMeet the requirements of transportation operationsAvoid damagePosition/course control in two dimensionsAutomatic controlControl system
The present invention relates to a system and a method for automatically controlling a vehicle based on GPS and RFID. The system comprises a vehicle, infrared detectors, RFID tags, a vehicle-mounted RFID reader, a GPS, a vehicle signal receiving apparatus, a vehicle-mounted GPS positioning system, an information analyzing apparatus, and a vehicle automatic control system; wherein the infrared detectors are respectively arranged at the front end and two sides of the vehicle; the RFID tags are arranged at positions along the line of driving of the vehicle; the vehicle-mounted RFID reader is arranged on the vehicle; the vehicle signal receiving apparatus is installed on the vehicle and is used for receiving GPS positioning information; the vehicle-mounted GPS positioning system receives the GPS positioning information; the information analyzing apparatus receives and analyzes information received by the vehicle-mounted RFID reader and the GPS positioning information; and the vehicle automatic control system receives a command of the information analyzing apparatus and controls the vehicle. According to the system and the method of present invention, the positioning method using mutually complementary GPS and RFID information is simple and is accurate in positioning, as an oil-economizing valve is used for controlling oil-taking quantity of an engine, the speed of the vehicle is controlled, thus the method is simple and very suitable for a real-time positioning demand of an unmanned vehicle.
Owner:李祥榕 +2
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