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Once the TDOAs on the receiver pairs are determined, the position of the object is further assessed by estimating the intersection point of each pair of hyperbolic functions or determining the true position values by some other method.
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The present paper outlines two approaches based on successive approximation both to find the intersection point and to estimate the intersection probability.
For NPWM, see Figures 2 and 5, a cross-point deriver is added after the oversampling unit to estimate the intersection point between the sawtooth carrier and the original modulating signal as in analog PWM.
This criterion allows to estimate the intersections between the Mach cone axis and several vertical planes in the urban canyon.
According to Figure 2 the CMC can be estimated from the intersection of the horizontal line with an almost constant value of the ratio of I338/ I335 (4 beginning points on both curves in Figure 4) and the vertical line with a steady increase of this ratio (5 terminal points on both curves in Figure 4).
The contact forces can be estimated in the intersection of axis at the individual idler roll positions in dependence on the tension force and in dependence on the filling rate of the cross-sectional area of the piped belt with the material, taking into consideration the performed experimental measurements.
The band gap energy (eV) was estimated as the intersection of the two slopes of the drawn curve.
The position of the source can be estimated through the intersection point of each pair of hyperbolic functions.
The first combining approach is to use a method called hyperbolic trilateration, where the node position is estimated calculating the intersection point of three circumferences.
In this case the initial position is estimated as the intersection point of the diagonal of the (positive) sided trapeze, calculated from the large circles as shown in Figure 18.
Considering that both circles are equally likely to be too small and that the negative sides are small, the position is estimated as the intersection of the diagonals of the trapeze.
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