Abstract: 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.

Abstract: 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.

Abstract: 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.

Abstract: An adaptive method by which Differential GNSS corrections may be compressed. Each measurement datum to be transmitted to a rover for satellite navigation purposes is decomposed into two parts, namely, an anchor value and a delta value, and in some instances an added third part termed a nonce value is used. Encoding parameters such as the number of bits assigned to each part of the measurement datum, the order of the models used to convey positional data, and scaling constants in the models, are adjusted adaptively based on changing data and/or transmission medium characteristics. Adaptive compression also allows for anomalous conditions such as out-of-range data values to be handled gracefully.

Abstract: An adaptive method by which Differential GNSS corrections may be compressed. Each measurement datum to be transmitted to a rover for satellite navigation purposes is decomposed into two parts, namely, an anchor value and a delta value, and in some instances an added third part termed a nonce value is used. Encoding parameters such as the number of bits assigned to each part of the measurement datum, the order of the models used to convey positional data, and scaling constants in the models, are adjusted adaptively based on changing data and/or transmission medium characteristics. Adaptive compression also allows for anomalous conditions such as out-of-range data values to be handled gracefully.