Passive positioning method based on antenna periodic scanning time difference
A passive positioning and time difference technology, which is applied to the beacon system using radio waves and other directions, can solve the problems of scanning time difference, slow tracking convergence speed, and low accuracy, and achieve the effect of improving positioning accuracy.
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specific Embodiment approach 1
[0070] Embodiment 1: The passive positioning method based on antenna periodic scanning time difference includes the following steps:
[0071] Considering the two-dimensional single-station passive tracking problem, figure 1 A schematic diagram of the geometric relationship between the target Tar and the observer O is given, in the figure T ar (x, y) represents the coordinates of the target Tar in the coordinate system of the observation platform, (X T ,Y T ) indicates the coordinates of the target in the geodetic coordinate system, X(E) indicates that the X axis is due east, and Y(N) indicates that the Y axis is due north.
[0072] The target Tar is in a static state, and the observation platform O moves in a straight line at a uniform speed along the y direction. The observer passively receives the signal radiated by the target Tar, and uses the passive measurement of the signal to locate and track the target. The target radar antenna performs circular scanning at a fixed ...
specific Embodiment approach 2
[0089] Specific embodiment two: the difference between this embodiment and specific embodiment one is: obtain x in the described step 2 in the solution equation, y, the specific process of the three equations that T three unknown quantities need are:
[0090] Since the geodetic coordinate system and the platform coordinate system have the conversion relationship of formula (1) - formula (3), it can be directly obtained from image 3 or Figure 4 To locate the target, the present invention only requires θ in the figure i For an angle greater than zero, avoid that the latter point is on the lower side of the line connecting the previous point and the target. When such a large corner is necessary, the front and rear segments can be positioned as independent positioning segments, and then converted to the absolute coordinate system Click below to get the positioning results.
[0091] exist image 3 and Figure 4 Medium θ i In the triangle, there is the following expression: ...
specific Embodiment approach 3
[0103] Specific embodiment three: the difference between this embodiment and specific embodiment one or two is: in the described step 4, solve the parameter R of the recursive least squares method i , and P 0 The specific process is:
[0104] R i The solution process is:
[0105] Deriving both sides of formula 24 with respect to time t, formula (26) can be obtained:
[0106]
[0107] where ψ=2π(τ i -T);
[0108] Take four consecutive points, each adjacent two points as a group, and substitute them into the formula (26) to get three equations, which can be expressed as A 3× 3 f 3×1 =b 3×1 , then it can be obtained by formula (14)
[0109]
[0110] will f 3×1 Substituting each element into formula (27) can get R i :
[0111]
[0112] said is the variance of the error of the time measurement;
[0113] and P 0 The solution process is:
[0114] said is the initial state estimate, P 0 is the initial state covariance, if not given and P 0 , then ...
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