CN107454570A - Maximum likelihood localization method with optimum choice is propagated based on minimal error - Google Patents

Maximum likelihood localization method with optimum choice is propagated based on minimal error Download PDF

Info

Publication number
CN107454570A
CN107454570A CN201710734544.4A CN201710734544A CN107454570A CN 107454570 A CN107454570 A CN 107454570A CN 201710734544 A CN201710734544 A CN 201710734544A CN 107454570 A CN107454570 A CN 107454570A
Authority
CN
China
Prior art keywords
msup
msubsup
mrow
prime
maximum likelihood
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.)
Pending
Application number
CN201710734544.4A
Other languages
Chinese (zh)
Inventor
蔚保国
罗清华
甘兴利
王垚
焉晓贞
崔淼
何成龙
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.)
CETC 54 Research Institute
Original Assignee
CETC 54 Research Institute
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 CETC 54 Research Institute filed Critical CETC 54 Research Institute
Priority to CN201710734544.4A priority Critical patent/CN107454570A/en
Publication of CN107454570A publication Critical patent/CN107454570A/en
Pending legal-status Critical Current

Links

Classifications

    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W4/00Services specially adapted for wireless communication networks; Facilities therefor
    • H04W4/02Services making use of location information
    • H04W4/021Services related to particular areas, e.g. point of interest [POI] services, venue services or geofences
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W4/00Services specially adapted for wireless communication networks; Facilities therefor
    • H04W4/02Services making use of location information
    • H04W4/023Services making use of location information using mutual or relative location information between multiple location based services [LBS] targets or of distance thresholds
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W64/00Locating users or terminals or network equipment for network management purposes, e.g. mobility management

Abstract

A kind of maximum likelihood localization method propagated based on minimal error with optimum choice, the maximum likelihood for being related to anchor node optimum choice improve localization method.The present invention is to effectively solve the problems, such as that communication distance evaluated error causes positioning precision relatively low.A kind of maximum likelihood localization method propagated based on minimal error with bubble sort method optimum choice of the present invention, unknown node is obtained to multiple sample values of distance estimations between each anchor node using the method for bilateral reciprocity distance estimations first, and statistical analysis, average statistical and the SS for obtaining each range estimation are poor;Then several distance estimations results of distance estimations average statistical and SS difference product value minimum are obtained using the method for bubble sort, and anchor node construction maximum likelihood positioning equation group corresponding to selecting, high-precision positioning result is finally obtained using criterion of least squares.

Description

Maximum likelihood localization method with optimum choice is propagated based on minimal error
Technical field
The present invention relates to high-precision distance estimations and wireless location technology.
Background technology
In actual wireless localizing environment, due to the influence of the undesirable elements such as noise, environment and measurement error, cause communication away from There is larger error from estimation, cause maximum likelihood positioning precision relatively low.In view of the above-mentioned problems, the present invention is to anchor node redundancy Under localizing environment, each anchor node is assessed to the product of communication distance estimation average statistical and SS difference between unknown node Value, and using bubble sort method come distance value and anchor required during optimum choice maximum likelihood positioning equation set constructor Node, the influence for reducing distance estimations error to positioning result is realized, so as to improve the purpose of maximum likelihood positioning precision.
The content of the invention
The invention aims to solve the problems, such as that communication distance evaluated error causes maximum likelihood positioning precision relatively low, A kind of maximum likelihood localization method propagated based on minimal error with bubble sort method optimum choice is provided.
The maximum likelihood localization method of the present invention propagated based on minimal error with optimum choice, including following step Suddenly:
Step 1: I+1 wireless sensor node of deployment, the anchor node and 1 unknown node of respectively I positioning, institute Stating anchor node has nanoLOC rf receiver and transmitters;Wherein, I is the positive integer more than or equal to 5;
Step 2: each wireless sensor node is initialized, unknown node initially sets up wireless network, and waits Other node applications add network;
Step 3: I anchor node scans the wireless network of unknown node foundation respectively, concurrent SCN Space Cable Network adds request data Bag, application add the wireless network, if adding network success, perform step 4, otherwise, perform step 3;
Step 4: it is positive integer that initializing variable i, which is 1, i, and 1≤i≤I;
Step 5: unknown node sends Location Request packet by its rf receiver and transmitter to i-th of anchor node, the After i anchor node receives Location Request packet, multiple Distance estimation is carried out using distance estimating algorithm and unknown node, obtained The multiple measured value of distance between i-th of anchor node and unknown node, and carry out statistics calculating, using the average statistical of measured value as away from From estimated result di_ u, the uncertainty d using the SS difference of measured value as distance estimations resulti_ σ, i=i+1;
Step 6: judging whether i value is more than I, if so, then performing step 7, step 5 is otherwise performed;
Step 7: according to the distance estimations result { d between unknown node and I anchor node1_u,d2_u,d3_ u ..., di_ U ..., dI_ u }, and uncertainty sequence { d corresponding to them1_σ,d2_σ,d3_ σ ..., di_ σ ..., dI_ σ } obtain error biography Broadcast sequence Q={ d1_σ*d1_u,d2_σ*d2_u,d3_σ*d3_ u ..., di_σ*di_ u ..., dI_σ*dI_u};
Step 8: error propagation sequence Q is ranked up, error propagation sequence Q '={ d ' after being sorted1_σ*d′1_ u,d′2_σ*d′2_u,d′3_σ*d′3_ u ..., d 'i_σ*d′i_ u ..., d 'I_σ*d′I_ u }, and take K wherein minimum value: {d′1_σ*d′1_u,d′2_σ*d′2_u,d′3_σ*d′3_ u ..., d 'k_σ*d′k_ u ..., d 'K_σ*d′K_ u }, so that it is determined that K Distance estimations result { d ' corresponding to value1_u,d′2_u,d′3_ u ..., d 'k_ u ..., d 'K_ u }, wherein K is positive integer, and 3<K< I;
Step 9: the distance estimations result { d ' with reference to corresponding to K value1_u,d′2_u,d′3_ u ..., d 'k_ u ..., d 'K_ U }, and the coordinate information (x ' of K anchor node coordinate corresponding to K distance estimations result1, y '1), (x '2, y '2), (x '3, y ′3) ..., (x 'k, y 'k) ..., (x 'K, y 'K), according to criterion of least squares and maximum likelihood location algorithm, calculate unknown node Coordinate.
Wherein, 5≤I≤12 in step 1.
Wherein, I values are 10 in step 1.
Wherein, K values are 8 in step 8.
Wherein, the number of multiple Distance estimation is 60~180 in step 5.
Wherein, the number of multiple Distance estimation is 150 in step 5.
Wherein, it is bubble sort to the mode that error propagation sequence Q is ranked up in the step 8.
Wherein, the distance estimating algorithm in the step 5 is SDS-TWR, RSSI, TOA, TDOA or AOA.
Wherein, the calculation formula of unknown node coordinate (x, y) is in step 9:
Wherein
The present invention has the following advantages that compared with background technology:
1st, can be in distance estimations average statistical and SS difference product using the method for bubble sort method optimum choice The several of SS difference minimum are selected in the sequence of value, support is provided for the optimum choice of anchor node.
2nd, using based on minimal error propagation and bubble sort method optimum choice, distance estimations error is reduced to least square The influence of positioning, realize high-precision least square positioning.
Brief description of the drawings
Fig. 1 is flow chart of the present invention.
Embodiment
Illustrate present embodiment with reference to Fig. 1, being propagated based on minimal error described in present embodiment and optimum choice are most Maximum-likelihood localization method, comprises the following steps:
Step 1: I+1 wireless sensor node of deployment, the anchor node and 1 unknown node of respectively I positioning, it All there is nanoLOC rf receiver and transmitters, and can be obtained using bilateral counterpart method measurement between any two node Range estimation, wherein, I is the positive integer of user's setting, and 5≤I≤12, and I values are 10 in the present invention;
Step 2: each node is initialized in system, unknown node initially sets up wireless network, and waits other sections Point application adds network;
Step 3: after I anchor node initializes successfully, nanoLOC rf receiver and transmitters scanning discovery is respectively adopted not Know the wireless network that node is established, and network join request packet is sent by nanoLOC rf receiver and transmitters, application adds Enter the wireless network, if adding network success, perform step 4, otherwise, perform step 3;
Step 4: it is positive integer that initializing variable i, which is 1, i, and 1≤i≤I;
Step 5: unknown node sends Location Request packet by its rf receiver and transmitter to i-th of anchor node, the After i anchor node receives Location Request packet, using bilateral reciprocity distance-finding method, pass through 4J data between unknown node Bag interaction, obtains the distance d between i-th of anchor node and unknown nodeiJ measured value:{di1,di2,di3,…,dij,…, diJ, and statistics calculating is carried out, by the average statistical d of measured valuei_ u is used as distance diEstimated result, by the statistics of measured value Standard deviation di_ σ is used as distance diThe uncertainty of estimated result, i=i+1, wherein j are positive integer, and 1≤j≤J, J are user The positive integer of setting, and 60≤J≤180, in of the invention, J values are 150;
Step 6: judging whether i value is more than I, if so, then performing step 7, step 5 is otherwise performed;
Step 7: according to the distance estimations result { d between unknown node and I anchor node1_u,d2_u,d3_ u ..., di_ U ..., dI_ u }, and uncertainty sequence { d corresponding to them1_σ,d2_σ,d3_ σ ..., di_ σ ..., dI_ σ }, define error Propagate sequence Q={ d1_σ*d1_u,d2_σ*d2_u,d3_σ*d3_ u ..., di_σ*di_ u ..., dI_σ*dI_u};
Step 8: using caving area method, error propagation sequence Q '={ d ' after being sorted1_σ*d′1_u,d ′2_σ*d′2_u,d′3_σ*d′3_ u ..., d 'i_σ*d′i_ u ..., d 'I_σ*d′I_ u }, and take K wherein minimum value:{d′1_ σ*d′1_u,d′2_σ*d′2_u,d′3_σ*d′3_ u ..., d 'k_σ*d′k_ u ..., d 'K_σ*d′K_ u }, so that it is determined that it is corresponding away from From estimated result { d '1_u,d′2_u,d′3_ u ..., d 'k_ u ..., d 'K_ u }, wherein K is the positive integer of user's setting, and 3<K< I, K values are 8 in this patent;
Step 9: with reference to distance estimations result { d '1_u,d′2_u,d′3_ u ..., d 'k_ u ..., d 'K_ u }, and it is corresponding Coordinate information (the x ' of K anchor node coordinate1, y '1), (x '2, y '2), (x '3, y '3) ..., (x 'k, y 'k) ..., (x 'K, y 'K), And calculated according to criterion of least squares, the coordinate (x, y) of unknown node by formula (1):
Wherein
Step 10: system judges whether maximum likelihood location Calculation task is completed, if it is, step 11 is performed, otherwise, On next anchor point, step 4 is performed;
Step 11: terminate.
Present embodiment be to described in embodiment one it is a kind of based on minimal error propagate and optimum choice most Maximum-likelihood localization method is described further, in present embodiment, using the method for bubble sort method optimum choice, can away from It is anchor node from the several of the poor minimum of SS are selected in the sequence of estimation average statistical and the poor product value of SS Optimum choice provides support.
In present embodiment, missed using being propagated based on minimal error with bubble sort method optimum choice, reduction distance estimations Influence of the difference to least square positioning, realize high-precision least square positioning.
In present embodiment, the method for estimating distance of use can also be using other based on RSSI, TOA, TDOA and AOA etc. Method for estimating distance.
In present embodiment, the sort method of use, other efficient sort methods can be also used.
In present embodiment, the localization method of use equally has for improving the maximum likelihood localization method under three-dimensional situation Effect.

Claims (9)

1. the maximum likelihood localization method with optimum choice is propagated based on minimal error, it is characterised in that comprise the following steps:
Step 1: I+1 wireless sensor node of deployment, the anchor node and 1 unknown node of respectively I positioning, the anchor Node has nanoLOC rf receiver and transmitters;Wherein, I is the positive integer more than or equal to 5;
Step 2: each wireless sensor node is initialized, unknown node initially sets up wireless network, and waits other Node application adds network;
Step 3: I anchor node scans the wireless network of unknown node foundation respectively, concurrent SCN Space Cable Network adds request data package, Application adds the wireless network, if adding network success, performs step 4, otherwise, performs step 3;
Step 4: it is positive integer that initializing variable i, which is 1, i, and 1≤i≤I;
Step 5: unknown node sends Location Request packet by its rf receiver and transmitter to i-th anchor node, i-th After anchor node receives Location Request packet, multiple Distance estimation is carried out using distance estimating algorithm and unknown node, obtains i-th The multiple measured value of distance between individual anchor node and unknown node, and statistics calculating is carried out, using the average statistical of measured value as distance Estimated result di_ u, the uncertainty d using the SS difference of measured value as distance estimations resulti_ σ, i=i+1;
Step 6: judging whether i value is more than I, if so, then performing step 7, step 5 is otherwise performed;
Step 7: according to the distance estimations result { d between unknown node and I anchor node1_u,d2_u,d3_ u ..., di_ u ..., dI_ u }, and uncertainty sequence { d corresponding to them1_σ,d2_σ,d3_ σ ..., di_ σ ..., dI_ σ } obtain error propagation sequence Arrange Q={ d1_σ*d1_u,d2_σ*d2_u,d3_σ*d3_ u ..., di_σ*di_ u ..., dI_σ*dI_u};
Step 8: error propagation sequence Q is ranked up, error propagation sequence Q '={ d ' after being sorted1_σ*d′1_u, d′2_σ*d′2_u,d′3_σ*d′3_ u ..., d 'i_σ*d′i_ u ..., d 'I_σ*d′I_ u }, and take K wherein minimum value:{d′1_ σ*d′1_u,d′2_σ*d′2_u,d′3_σ*d′3_ u ..., d 'k_σ*d′k_ u ..., d 'K_σ*d′K_ u }, so that it is determined that K value is corresponding Distance estimations result { d '1_u,d′2_u,d′3_ u ..., d 'k_ u ..., d 'K_ u }, wherein K is positive integer, and 3<K<I;
Step 9: the distance estimations result { d ' with reference to corresponding to K value1_u,d′2_u,d′3_ u ..., d 'k_ u ..., d 'K_ u }, with And coordinate information (the x ' of K anchor node coordinate corresponding to K distance estimations result1, y '1), (x '2, y '2), (x '3, y '3) ..., (x′k, y 'k) ..., (x 'K, y 'K), according to criterion of least squares and maximum likelihood location algorithm, calculate the coordinate of unknown node.
2. the maximum likelihood localization method according to claim 1 propagated based on minimal error with optimum choice, its feature It is, 5≤I≤12 in step 1.
3. the maximum likelihood localization method according to claim 2 propagated based on minimal error with optimum choice, its feature It is, I values are 10 in step 1.
4. the maximum likelihood localization method according to claim 3 propagated based on minimal error with optimum choice, its feature It is, K values are 8 in step 8.
5. the maximum likelihood localization method according to claim 1 propagated based on minimal error with optimum choice, its feature It is, the number of multiple Distance estimation is 60~180 in step 5.
6. the maximum likelihood localization method according to claim 5 propagated based on minimal error with optimum choice, its feature It is, the number of multiple Distance estimation is 150 in step 5.
7. the maximum likelihood localization method according to claim 1 propagated based on minimal error with optimum choice, its feature It is, is bubble sort to the mode that error propagation sequence Q is ranked up in the step 8.
8. a kind of propagated based on minimal error according to claim 1 is determined with the maximum likelihood of bubble sort method optimum choice Position method, it is characterised in that the distance estimating algorithm in the step 5 is SDS-TWR, RSSI, TOA, TDOA or AOA.
9. a kind of propagated based on minimal error according to claim 1 is determined with the maximum likelihood of bubble sort method optimum choice Position method, it is characterised in that the calculation formula of unknown node coordinate (x, y) is in step 9:
<mrow> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <mi>x</mi> </mtd> </mtr> <mtr> <mtd> <mi>y</mi> </mtd> </mtr> </mtable> </mfenced> <mo>=</mo> <msup> <mrow> <mo>(</mo> <msup> <mi>A</mi> <mi>T</mi> </msup> <mi>A</mi> <mo>)</mo> </mrow> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msup> <msup> <mi>A</mi> <mi>T</mi> </msup> <mi>B</mi> </mrow>
Wherein
<mrow> <mi>B</mi> <mo>=</mo> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <mrow> <msup> <mrow> <mo>(</mo> <msubsup> <mi>d</mi> <mn>1</mn> <mo>&amp;prime;</mo> </msubsup> <mo>_</mo> <mi>u</mi> <mo>)</mo> </mrow> <mn>2</mn> </msup> <mo>-</mo> <msup> <mrow> <mo>(</mo> <msubsup> <mi>d</mi> <mi>K</mi> <mo>&amp;prime;</mo> </msubsup> <mo>_</mo> <mi>u</mi> <mo>)</mo> </mrow> <mn>2</mn> </msup> <mo>-</mo> <msubsup> <msup> <mi>x</mi> <mo>&amp;prime;</mo> </msup> <mn>1</mn> <mn>2</mn> </msubsup> <mo>+</mo> <msubsup> <msup> <mi>x</mi> <mo>&amp;prime;</mo> </msup> <mi>K</mi> <mn>2</mn> </msubsup> <mo>-</mo> <msubsup> <msup> <mi>y</mi> <mo>&amp;prime;</mo> </msup> <mn>1</mn> <mn>2</mn> </msubsup> <mo>+</mo> <msubsup> <mi>y</mi> <mi>k</mi> <mn>2</mn> </msubsup> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msup> <mrow> <mo>(</mo> <msubsup> <mi>d</mi> <mn>2</mn> <mo>&amp;prime;</mo> </msubsup> <mo>_</mo> <mi>u</mi> <mo>)</mo> </mrow> <mn>2</mn> </msup> <mo>-</mo> <msup> <mrow> <mo>(</mo> <msubsup> <mi>d</mi> <mi>K</mi> <mo>&amp;prime;</mo> </msubsup> <mo>_</mo> <mi>u</mi> <mo>)</mo> </mrow> <mn>2</mn> </msup> <mo>-</mo> <msubsup> <msup> <mi>x</mi> <mo>&amp;prime;</mo> </msup> <mn>2</mn> <mn>2</mn> </msubsup> <mo>+</mo> <msubsup> <msup> <mi>x</mi> <mo>&amp;prime;</mo> </msup> <mi>K</mi> <mn>2</mn> </msubsup> <mo>-</mo> <msubsup> <msup> <mi>y</mi> <mo>&amp;prime;</mo> </msup> <mn>2</mn> <mn>2</mn> </msubsup> <mo>+</mo> <msubsup> <msup> <mi>y</mi> <mo>&amp;prime;</mo> </msup> <mi>K</mi> <mn>2</mn> </msubsup> </mrow> </mtd> </mtr> <mtr> <mtd> <mn>......</mn> </mtd> </mtr> <mtr> <mtd> <mrow> <msup> <mrow> <mo>(</mo> <msubsup> <mi>d</mi> <mrow> <mi>K</mi> <mo>-</mo> <mn>1</mn> </mrow> <mo>&amp;prime;</mo> </msubsup> <mo>_</mo> <mi>u</mi> <mo>)</mo> </mrow> <mn>2</mn> </msup> <mo>-</mo> <msup> <mrow> <mo>(</mo> <msubsup> <mi>d</mi> <mi>K</mi> <mo>&amp;prime;</mo> </msubsup> <mo>_</mo> <mi>u</mi> <mo>)</mo> </mrow> <mn>2</mn> </msup> <mo>-</mo> <msubsup> <msup> <mi>x</mi> <mo>&amp;prime;</mo> </msup> <mrow> <mi>K</mi> <mo>-</mo> <mn>1</mn> </mrow> <mn>2</mn> </msubsup> <mo>+</mo> <msubsup> <msup> <mi>x</mi> <mo>&amp;prime;</mo> </msup> <mi>K</mi> <mn>2</mn> </msubsup> <mo>-</mo> <msubsup> <msup> <mi>y</mi> <mo>&amp;prime;</mo> </msup> <mrow> <mi>K</mi> <mo>-</mo> <mn>1</mn> </mrow> <mn>2</mn> </msubsup> <mo>+</mo> <msubsup> <msup> <mi>y</mi> <mo>&amp;prime;</mo> </msup> <mi>K</mi> <mn>2</mn> </msubsup> </mrow> </mtd> </mtr> </mtable> </mfenced> <mo>.</mo> </mrow> 2
CN201710734544.4A 2017-08-24 2017-08-24 Maximum likelihood localization method with optimum choice is propagated based on minimal error Pending CN107454570A (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN201710734544.4A CN107454570A (en) 2017-08-24 2017-08-24 Maximum likelihood localization method with optimum choice is propagated based on minimal error

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN201710734544.4A CN107454570A (en) 2017-08-24 2017-08-24 Maximum likelihood localization method with optimum choice is propagated based on minimal error

Publications (1)

Publication Number Publication Date
CN107454570A true CN107454570A (en) 2017-12-08

Family

ID=60493732

Family Applications (1)

Application Number Title Priority Date Filing Date
CN201710734544.4A Pending CN107454570A (en) 2017-08-24 2017-08-24 Maximum likelihood localization method with optimum choice is propagated based on minimal error

Country Status (1)

Country Link
CN (1) CN107454570A (en)

Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN114089273A (en) * 2021-11-22 2022-02-25 电子科技大学 GPS and UWB based motion platform positioning method
CN115085863A (en) * 2022-03-30 2022-09-20 上海航天电子有限公司 Frame counting correction and frame loss statistical method for wireless data

Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN104902567A (en) * 2015-06-29 2015-09-09 江南大学 Centroid localization method based on maximum likelihood estimation
CN106413050A (en) * 2016-06-20 2017-02-15 哈尔滨工业大学(威海) NanoLOC wireless communication distance estimation and online assessment method
CN106412821A (en) * 2016-06-20 2017-02-15 哈尔滨工业大学(威海) Least-square location method based on communication distance estimation and online estimation thereof
CN106993273A (en) * 2017-03-29 2017-07-28 江南大学 Based on distance weighted and genetic optimization DV Hop localization methods

Patent Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN104902567A (en) * 2015-06-29 2015-09-09 江南大学 Centroid localization method based on maximum likelihood estimation
CN106413050A (en) * 2016-06-20 2017-02-15 哈尔滨工业大学(威海) NanoLOC wireless communication distance estimation and online assessment method
CN106412821A (en) * 2016-06-20 2017-02-15 哈尔滨工业大学(威海) Least-square location method based on communication distance estimation and online estimation thereof
CN106993273A (en) * 2017-03-29 2017-07-28 江南大学 Based on distance weighted and genetic optimization DV Hop localization methods

Non-Patent Citations (3)

* Cited by examiner, † Cited by third party
Title
尹晓丹: "《哈尔滨工业大学工学硕士论文》", 30 June 2006 *
张书朋: "《华南理工大学硕士学位论文》", 30 June 2010 *
罗清华 等: "基于滑动窗口模式匹配的动态距离估计方法", 《仪器仪表学报》 *

Cited By (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN114089273A (en) * 2021-11-22 2022-02-25 电子科技大学 GPS and UWB based motion platform positioning method
CN114089273B (en) * 2021-11-22 2023-05-26 电子科技大学 GPS and UWB-based motion platform positioning method
CN115085863A (en) * 2022-03-30 2022-09-20 上海航天电子有限公司 Frame counting correction and frame loss statistical method for wireless data

Similar Documents

Publication Publication Date Title
Niu et al. WicLoc: An indoor localization system based on WiFi fingerprints and crowdsourcing
EP3173807B1 (en) System and method for robust and accurate rssi based location estimation
WO2017185828A1 (en) Fingerprint positioning method and apparatus
US20210364593A1 (en) Position estimation device and communication device
Aparicio et al. A fusion method based on bluetooth and wlan technologies for indoor location
US10271163B2 (en) System and method for robust and efficient TDOA based location estimation in the presence of various multipath delay
EP2574954B1 (en) Wi-Fi position fix
KR101213363B1 (en) Wireless localization method using 4 or more anchor nodes based on RSSI at indoor environment and a recording medium in which a program for the method is recorded
CN109951798A (en) Merge the enhancing location fingerprint indoor orientation method of Wi-Fi and bluetooth
JP6581312B2 (en) Floor positioning method and system, and device
WO2016000179A1 (en) Method and device for indoor positioning
WO2012016355A1 (en) Method of and system for locating the position of user equipment
CN107580295A (en) Trilateration localization method with optimum choice is propagated based on minimal error
CN107454570A (en) Maximum likelihood localization method with optimum choice is propagated based on minimal error
CN107517500A (en) A kind of trilateration localization method for the anchor node optimum choice propagated based on minimal error
Aparicio et al. An indoor location method based on a fusion map using Bluetooth and WLAN technologies
CN107589400A (en) Least square localization method with optimum choice is propagated based on minimal error
CN107404707A (en) A kind of least square localization method for the anchor node optimum choice propagated based on minimal error
Sun et al. Successive and asymptotically efficient localization of sensor nodes in closed-form
Jain et al. Locally linear embedding for node localization in wireless sensor networks
JP5583170B2 (en) Scatterer position estimation apparatus, scatterer position estimation method, and program
CN107479026A (en) A kind of weighted mass center localization method for the anchor node optimum choice propagated based on minimal error
CN107367708A (en) A kind of weighted mass center localization method of the anchor node optimum choice based on minimum sandards difference
CN107450051A (en) Weighted mass center localization method with optimum choice is propagated based on minimal error
CN107479027A (en) A kind of maximum likelihood localization method for the anchor node optimum choice propagated based on minimal error

Legal Events

Date Code Title Description
PB01 Publication
PB01 Publication
SE01 Entry into force of request for substantive examination
SE01 Entry into force of request for substantive examination
RJ01 Rejection of invention patent application after publication
RJ01 Rejection of invention patent application after publication

Application publication date: 20171208