Method and apparatus for modeling of GNSS pseudorange measurements for interpolation, extrapolation, reduction of measurement errors, and data compression

摘要

Polynomial regression models are used to reduce errors in measurements of pseudorange between a GNSS satellite and a receiving station; for data compression by replacing a large number of measurements with a small number of coefficients of the model polynomial, optionally combined with modeling residuals; for extrapolating usefully accurate estimates of future range between the GNSS satellite and the receiving station; and for providing usefully accurate estimates of future coefficient values of the polynomial regression models themselves.

主权项

1. An apparatus comprising:
processor; computer readable storage medium accessible to the processor and bearing instructions which when executed by the processor cause the processor to undertake logic comprising: establishing an observation set of plural past ranges and respective past times between first and second objects to establish past range/time pairs, wherein each range in the observation set of plural past ranges comprises a measured, derived, or predicted range; establishing a lookahead set of plural predicted future ranges and respective future times between the first and second objects; using a curve fitting routine, describing the past range/time pairs and future range/time pairs at least in part through coefficients or parameters of a mathematical model produced by the curve fitting routine; and outputting the coefficients or parameters to a third object to enable the third object to correct errors, common to both the second object and the third object, in range measurements, derivations, or predictions.