METHOD FOR DATABASE-DRIVEN ESTIMATE OF AN OUTPUT QUANTITY IN A K-DIMENSIONAL VALUE RANGE
First Claim
1. A method for the database-driven estimate of an output quantity ({right arrow over (x)}, z) in a k-dimensional value range, method comprising:
- determining a location probability range Ri for a k-dimensional output quantity ({right arrow over (x)},z) for an element i of a measurement series {i=1, . . . ,n}, in which the location probability range Ri is limited by a lower (k−
1) dimensional area zi and an upper (k−
1) dimensional area zi, both of which are predetermined or parameterized with sensor measured values or derived from a database taking into account additional sensor measured values;
quantizing the lower limiting area zi and the upper limiting area zi by assigning a lower limiting value zi({right arrow over (x)}v) and an upper limiting value zi({right arrow over (x)}v) of the ith location probability range Ri to each point {right arrow over (x)}v in a predetermined (k−
1) dimensional search grid, wherein the index i=1, . . . ,n refers to the respective location probability range Ri and the index v refers to the points in the search grid;
assigning a number wi({right arrow over (x)}v) or wi({right arrow over (x)}v) to each limiting value zi({right arrow over (x)}v) or zi({right arrow over (x)}v), wherein the number wi({right arrow over (x)}v) corresponds to how many location probability ranges Ri the point ({right arrow over (x)}v,zi({right arrow over (x)}v)) lies, and the number wi({right arrow over (x)}v) respectively states in how many location probability ranges Ri the point ({right arrow over (x)}v, zi({right arrow over (x)}v)) lies, such that the special case n=1, w1({right arrow over (x)}v)=1 and w1({right arrow over (x)}v)=1 applies to all the grid points {right arrow over (x)}v; and
determining a probability range S for the output quantity to be estimated ({right arrow over (x)}, z), in which at least m of the n location probability ranges Ri overlap, such that, when the number wi({right arrow over (x)}v) or wi({right arrow over (x)}v) assigned to the limiting value zi({right arrow over (x)}v) or zi({right arrow over (x)}v) is larger than or equal to m, each point ({right arrow over (x)}v,zi({right arrow over (x)}v)) or ({right arrow over (x)}v, zi({right arrow over (x)}v)) lies within the probability range S, and, such that, when zi({right arrow over (x)}v)≦
Zj({right arrow over (x)}v), wi({right arrow over (x)}v)≧
m, wj({right arrow over (x)}v)≧
m applies and no limiting value zl({right arrow over (x)}v) or zi({right arrow over (x)}v) with wl({right arrow over (x)}v)≦
m or wl({right arrow over (x)}v)≦
m exists between zi({right arrow over (x)}v), zj({right arrow over (x)}v), the entire connecting distance of two points ({right arrow over (x)}v, zi({right arrow over (x)}v)), ({right arrow over (x)}v, zj({right arrow over (x)}v)) lies within the probability range S.
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Abstract
Method for the database-driven estimate of an output quantity in a k-dimensional value range. The method includes determining a location probability range Ri for a k-dimensional output quantity for an element i of a measurement series {i=1, . . . ,n}, in which the location probability range Ri is limited by a lower (k−1) dimensional area and an upper (k−1) dimensional area, both of which are predetermined or parameterized with sensor measured values or derived from a database taking into account additional sensor measured values, and quantizing the lower limiting area and the upper limiting area by assigning a lower limiting value and an upper limiting value of the ith location probability range Ri to each point in a predetermined (k−1) dimensional search grid. The index i=1, . . . ,n refers to the respective location probability range Ri and the index v refers to the points in the search grid. The method also includes assigning a number to each limiting value, in which the number corresponds to how many location probability ranges Ri the point lies, and the number respectively states in how many location probability ranges Ri the point lies, such that the special case n=1 applies to all the grid points. The method further includes determining a probability range S for the output quantity to be estimated, in which at least m of the n location probability ranges Ri overlap, such that, when the number assigned to the limiting value is larger than or equal to m, each point lies within the probability range S.
5 Citations
11 Claims
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1. A method for the database-driven estimate of an output quantity ({right arrow over (x)}, z) in a k-dimensional value range, method comprising:
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determining a location probability range Ri for a k-dimensional output quantity ({right arrow over (x)},z) for an element i of a measurement series {i=1, . . . ,n}, in which the location probability range Ri is limited by a lower (k−
1) dimensional area zi and an upper (k−
1) dimensional areaz i, both of which are predetermined or parameterized with sensor measured values or derived from a database taking into account additional sensor measured values;quantizing the lower limiting area zi and the upper limiting area z i by assigning a lower limiting value zi({right arrow over (x)}v) and an upper limiting valuez i({right arrow over (x)}v) of the ith location probability range Ri to each point {right arrow over (x)}v in a predetermined (k−
1) dimensional search grid, wherein the index i=1, . . . ,n refers to the respective location probability range Ri and the index v refers to the points in the search grid;assigning a number wi({right arrow over (x)}v) or w i({right arrow over (x)}v) to each limiting value zi({right arrow over (x)}v) orz i({right arrow over (x)}v), wherein the number wi({right arrow over (x)}v) corresponds to how many location probability ranges Ri the point ({right arrow over (x)}v,zi({right arrow over (x)}v)) lies, and the numberw i({right arrow over (x)}v) respectively states in how many location probability ranges Ri the point ({right arrow over (x)}v,z i({right arrow over (x)}v)) lies, such that the special case n=1, w1({right arrow over (x)}v)=1 andw 1({right arrow over (x)}v)=1 applies to all the grid points {right arrow over (x)}v; anddetermining a probability range S for the output quantity to be estimated ({right arrow over (x)}, z), in which at least m of the n location probability ranges Ri overlap, such that, when the number wi({right arrow over (x)}v) or w i({right arrow over (x)}v) assigned to the limiting value zi({right arrow over (x)}v) orz i({right arrow over (x)}v) is larger than or equal to m, each point ({right arrow over (x)}v,zi({right arrow over (x)}v)) or ({right arrow over (x)}v,z i({right arrow over (x)}v)) lies within the probability range S, and, such that, when zi({right arrow over (x)}v)≦
Z j({right arrow over (x)}v), wi({right arrow over (x)}v)≧
m,w j({right arrow over (x)}v)≧
m applies and no limiting value zl({right arrow over (x)}v) orz i({right arrow over (x)}v) with wl({right arrow over (x)}v)≦
m orw l({right arrow over (x)}v)≦
m exists between zi({right arrow over (x)}v),z j({right arrow over (x)}v), the entire connecting distance of two points ({right arrow over (x)}v, zi({right arrow over (x)}v)), ({right arrow over (x)}v,z j({right arrow over (x)}v)) lies within the probability range S. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9)
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10. A method for the database-driven estimate of an output quantity in a k-dimensional value range, method comprising:
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establishing a two-dimensional plane; defining at least three overlapping probability ranges in a plane perpendicular to the two-dimensional plane, wherein each probability range comprises an upper limit and a lower limit; establishing a reference line within the plane perpendicular to the two-dimensional plane that intersects the three overlapping probability ranges at an intersection point; assigning a number to each intersection point corresponding to a number of probability ranges the intersection point is located in or on; and computing an interval between intersection points located in or on all probability ranges. - View Dependent Claims (11)
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Specification