Terminal location
A mobile terminal, technology for estimating position, applied in the direction of selection devices, electrical components, radio/inductive link selection arrangements, etc.
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no. 1 example
[0153] First Embodiment—Analytic Single Cell Algorithm
[0154] The "analytical single cell" location method can be applied when only one cell is considered. Algorithms for implementing position estimation and confidence region calculations are given below.
[0155] Step 1: Position Estimate Computation
[0156] The position estimate is computed at the centroid of the only cell of interest (N cells = 1). By analytically estimating the integral in equation (3), the coordinates of the centroid of the cell can be calculated. As shown, by assuming a uniform density, the following expression for position estimation is obtained:
[0157] x ^ = x S + 2 3 ( ...
no. 2 example
[0175] Second embodiment: multi-cell algorithm
[0176] In the multi-cell location method, location estimates are determined numerically at the centroids of a uniform rectangular grid covering the geographic area enclosed by multiple cell boundaries. This method is suitable when one or more cells need to be considered.
[0177] Said rectangular grid, which is also used to determine the confidence region, is obtained by uniformly sampling the area covered by the cell of interest along the x and y directions, using constant step sizes Δx and Δy, respectively. An example of the grid created is shown in Figure 7a, defined by the set Np containing three values:
[0178] { x p , y p , w p } p = 1 N p - - ...
no. 3 example
[0205] The third embodiment: approximate multi-cell algorithm
[0206] In this embodiment, the position estimate is determined numerically at the center of gravity of a polygon P surrounding the boundaries of the plurality of cells. And the method is suitable for use when one or more cells have to be considered.
[0207]Polygon P is obtained as a polygon with Nv vertices enclosing pixels equidistantly arranged along the cell boundary of interest. To calculate the position, the polygon P is used here as an approximation of the boundary enclosed by the cells (P approaches the boundary S defined in equation (1)). Figure 9 shows an example of how to obtain a polygon enclosing three cells from pixels located on the cell border.
[0208] Step 1: Position Estimate Computation
[0209] position estimate coordinates is computed at the centroid of the polygon P that approximates the cell boundary. And analytical formulas can be used for this purpose.
[0210] First Variation: C...
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