Arrival time difference positioning method by total least square equalization algorithms

A technology of total least squares and equalization algorithm, which is applied in the direction of radio wave measurement system, instrument, etc., can solve problems such as errors, no consideration of array element position measurement errors, and difficulty in constructing weighted matrices

Inactive Publication Date: 2004-12-08
TSINGHUA UNIV
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  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

The biggest disadvantage of the second method is that it does not consider the sensor position measurement error, because it is difficult to construct a weighting matrix when considering the error
There are a lot of situations in the actua...

Method used

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  • Arrival time difference positioning method by total least square equalization algorithms
  • Arrival time difference positioning method by total least square equalization algorithms
  • Arrival time difference positioning method by total least square equalization algorithms

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Embodiment 1

[0088] Embodiment 1: This embodiment uses software to implement the positioning method proposed by the present invention, such as figure 2 shown. Let the number of array element positions be 9, each array element position is located at [000], [-50 80 20], [40 60-30], [-20 40 40], [60 30 30], [-70 50- 20], [20 50 10], [-40 20-40], and [30 30-10], the position of the radiation source is [300 2400 200], according to RD estimation and array element position measurement accuracy, let the variance σ of RD i1 2 (i=2,...,9) equals 10 -5 [1 4 9 16 25 36 49 64], element position measurement error variance σ 2 equal to 10 -3 . After the positioning calculation starts, the estimator simultaneously transfers from step 2a to steps 2b, 2c and 2d which are performed in parallel. The step 2b is based on the observations r provided by the front-end TDOA estimation and the array element position measurement respectively i，1 (i=2,...,9) and array element position vector s i (i=1,...,9) t...

Embodiment 2

[0154] Embodiment 2: This embodiment uses hardware to implement the positioning method proposed by the present invention. Still assuming that the number of array element positions is 9, the error variance σ of the observation quantity estimation error i1 2 (i=2, . . . , 9) are not equal to each other, and there are errors in the position measurement of array elements as an example to illustrate the positioning process of the hardware circuit. Such as image 3 As shown, the first to eighth estimated parameter inputs 31 provided by the front-end TDOA estimation and array element position measurement are passed through simple operation circuits 32 to 39 (in the figure |·| 2 Indicates the sum-of-squares circuit, (·) -1 represents the reciprocal circuit), and obtains the coefficient matrix 313 (A 1 ), observation matrix 314(b 1 ), the constituent elements of the left weighting matrix 315 (D) and the right weighting matrix 316 (T). Among them, the square value of the distance ...

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Abstract

In the method positioning is carried on by applying prebalance to error matrix and combining with at least square method according to feature of balanced error matrix covariance matrix being approximately to unit array in order to raise accuracy of positioning; the processed error model includes both of array element position error and estimation error of distance difference which is not the same to each other so it is more is accordance with actual situation comparing to existed positioning method.

Description

technical field [0001] A time difference of arrival positioning method using total least squares and an equalization algorithm belongs to the technical field of space target positioning. Background technique [0002] The positioning accuracy of the target is not only related to the spatial geometric position of the target relative to each receiving array element, but also depends on the estimation error of the positioning parameters and the measurement error of the array element position. In practical applications, due to the influence of signal-to-noise ratio and the limitation of specific array element position measurement technology (such as global positioning system), these errors are difficult to eliminate, and the error variances are also different. If the positioning algorithm adopted cannot take these error factors into consideration, the actual positioning accuracy will be seriously affected. [0003] TDOA positioning technology has strong engineering feasibility a...

Claims

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Application Information

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IPC IPC(8): G01S7/00
Inventor 黄振陆建华
Owner TSINGHUA UNIV
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