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Cellular TDOA positioning algorithm based on Taylor series expansion

A technology of Taylor series and positioning algorithm, which is applied in the field of communication, can solve problems such as performance degradation and achieve good convergence performance

Inactive Publication Date: 2018-11-02
温州市鹿城区中津先进科技研究院
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Problems solved by technology

Chan used the double least squares algorithm to give the non-iterative closed-form solution of the positioning force range group. When the TDOA measurement error is relatively small, it has the optimal estimation performance, but with the increase of the IDOA measurement error, the performance of the algorithm decreases rapidly.

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  • Cellular TDOA positioning algorithm based on Taylor series expansion
  • Cellular TDOA positioning algorithm based on Taylor series expansion
  • Cellular TDOA positioning algorithm based on Taylor series expansion

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Embodiment Construction

[0040] In order to make the technical means realized by the present invention, innovative features and functions easy to understand, the present invention will be further elaborated below.

[0041] A kind of cellular TDOA positioning algorithm based on Taylor series expansion, it adopts the least squares algorithm to estimate the user's initial position, then obtains user coordinates by Taylor series expansion algorithm;

[0042] Based on TDOA's cellular network positioning technology, after obtaining multiple TDOA measurement values, the positioning equation is established (1):

[0043] R i，1 =cΔτ i =R i -R 1 i=2,... N (1)

[0044] in

[0045]

[0046] (X i ,Y i ) is the coordinates of the base station, (x, y) is the coordinates of the mobile station to be tested, R i is the distance between the mobile station and the base station, N is the number of base stations involved in positioning. c is the speed of light, Δτ i For the measured serving base station Bs 1 w...

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Abstract

The invention discloses a cellular TDOA positioning algorithm based on Taylor series expansion. The least square algorithm is used for estimating a user initial location, and then a user coordinate isobtained through a Taylor series expansion algorithm. The algorithm has good convergence performance and has the convergence speed basically same as the Taylor series expansion algorithm based on thereal coordinate. Under the condition that the amount of the baes station participating the positioning and the covariance matrix of the TDOA measurement error are same, the positioning precision of the algorithm is superior to the least square algorithm; compared with the Chan algorithm, the performance is basically same, and approaches to the Cramer-Rao lower limit. Along the increase of the base station amount and the reduction of the error, the improvement of the positioning precision of this algorithm is obviously faster than the least square algorithm.

Description

technical field [0001] The invention relates to the communication field, in particular to a cellular TDOA positioning algorithm. Background technique [0002] GPRS and cdma2000 1x have been put into use worldwide and the rapid practical application of the third generation mobile communication system has greatly promoted the development of mobile data services, and various applications based on user locations are one of the most promising data services . The E911 specification formulated by the U.S. FCC in 1996 sets the accuracy standard for the positioning of mobile phone users when providing emergency rescue, and is gradually adopted by countries all over the world. Positioning systems using technologies such as time difference of arrival (TDOA), time of arrival (TOA), angle of arrival (AOA) and multipath fingerprints have been put into practical use. TDOA is currently the most promising positioning technology for cellular system mobile stations. The positioning equation...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): H04W64/00
CPCH04W64/006
Inventor 王振宇
Owner 温州市鹿城区中津先进科技研究院
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