| 摘要 |
The invention is directed to positioning with low geometrical dilution of position (GDOP). Generally, the invention is a method for positioning including the steps of transmitting a asynchronous signal from a mobile to at least one base station; receiving the asynchronous signal at each base station; for each base station, determining a spherical line of position for the mobile using the received non-synchronous signal; and positioning the mobile using the spherical lines of position. The invention is a position location system which has the merits of both spherical and hyperbolic positioning systems while avoiding their drawbacks. The invention is less sensitive to GDOP and the mathematical model is easier to handle than the known hyperbolic system. The mathematical model embodied in the invention is equivalent to a convex quadratic probing subject to an ice-cream cone constraint. The invention also embodies an efficient algorithm for this optimization model. The invention is primarily directed to position location for E911, it can also applied to any other fields where position location is used, such as, but not limited to, radar positioning, satellite positioning and navigation systems.
|
